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Design and Analysis of a Concrete Modular Housing System Constructed With 3D Panels by Sam Rhea Sarcia SUBMITTED TO THE DEPARTMENT OF MECHANICAL ENGINEERING IN PARTIAL FUFILLMENT OF THE REQUIRMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE IN MECHANICAL ENGINEERING AT THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY JUNE 2004 © 2004 Sam Rhea Sarcia. All Rights Reserved The author hereby grants MIT permission to reproduce and distribute publicly paper and electronic I copies of thesis document in whol"or in part. f~~~~~ ', ,:l ;. .. I~~~/ Signature of Author:........................................... . ...... o ,x .. . . .. .... ·................ . .. o I, . -. ... o . . . . Department of Mechanical Engineering /I _. May 7,2004 Certified by:..................................................... ....... ..... ... ... - .. . . / Jerome J. Connor Professor of Civil Engineering Thesis Surervisor Accepted by:......................................................................... .. ..............................-....... Ernest P. Cravalo Van Buren N. Hansford Faculty Fellow Professor of Mechanical Engineering ________ _____ ~ Chairman, Undergraduate Thesis Committee MASSACHUSETTS INSI OF TECHNOLOGY OCT 2 8 2004 1 ~LJB~~RA ~R~IES LI-RA 6 Af .... S

Design and Analysis of a Concrete Modular Housing System

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Page 1: Design and Analysis of a Concrete Modular Housing System

Design and Analysis of a Concrete Modular Housing SystemConstructed With 3D Panels

by

Sam Rhea Sarcia

SUBMITTED TO THE DEPARTMENT OF MECHANICAL ENGINEERING INPARTIAL FUFILLMENT OF THE REQUIRMENTS FOR THE DEGREE OF

BACHELOR OF SCIENCE IN MECHANICAL ENGINEERINGAT THE

MASSACHUSETTS INSTITUTE OF TECHNOLOGY

JUNE 2004

© 2004 Sam Rhea Sarcia. All Rights Reserved

The author hereby grants MIT permission to reproduceand distribute publicly paper and electronic I

copies of thesis document in whol"or in part.

f~~~~~', ,:l ;.

.. I~~~/

Signature of Author:........................................... . ...... o ,x ,· o· .. . . .. .... ·................ . .. o I, . -. ... o . . . .

Department of Mechanical Engineering/I _. May 7,2004

Certified by:..................................................... ....... ..... ... . . . -.. . . / Jerome J. Connor

Professor of Civil EngineeringThesis Surervisor

Accepted by:......................................................................... .. ..............................-.......Ernest P. Cravalo

Van Buren N. Hansford Faculty FellowProfessor of Mechanical Engineering

________ _____ ~ Chairman, Undergraduate Thesis CommitteeMASSACHUSETTS INSI

OF TECHNOLOGY

OCT 2 8 2004 1

~LJB~~RA ~R~IESLI-RA 6Af .... S

Page 2: Design and Analysis of a Concrete Modular Housing System

Design and Analysis of a Concrete Modular Housing SystemConstructed With 3D Panels

by

Sam Rhea Sarcia

Submitted to the Department of Mechanical Engineeringon May 7, 2004 in Partial Fulfillment of the

Requirements for the Degree of Bachelor of Science inMechanical Engineering

ABSTRACT

An innovative modular house system design utilizing an alternative concrete residential

building system called 3D panels is presented along with an overview of 3D panels as

well as relevant methods and markets. The proposed design is an integrated approach to

residential construction with unique provisions for structural elements and utilities. The

design is hexagonally modular and may be scaled freely with a low number of unique

components. An analysis of the house design in terms of labor requirements, construction

process, cost, and structural feasibility is also presented.

Thesis Supervisor: Jerome Connor

Title: Professor of Civil Engineering

2

Page 3: Design and Analysis of a Concrete Modular Housing System

Table of ContentsTable of Figures 4

1.0 Introduction 5

2.0 Background 7

2.1 Concrete 7

2.2 Concrete Construction Methods 10

2.3 Construction Design Methodology 11

2.4 Residential Construction Methods 12

2.5 Concrete Homebuilding Systems 14

3.0 3D Panels 193.1 Introduction 19

3.2 Installation and Construction Methods 20

3.3 Shotcrete 25

3.4 Properties of 3D panels 33

3.5 Costs associated with 3D panel construction 35

3.6 Summary of benefits of 3D panel construction 36

3.7 Code Compliance and Verification 38

4.0 Proposed Modular House Design Using 3D panels 394.1 Form and Modularity 39

4.2 Joints and Assembly Methods 42

4.3 Construction Process 45

4.4 Utilities 47

4.5 Roof 51

5.0 Structural analysis 55

5.1 Panel Strength 55

5.2 Static Analysis 59

5.3 Design Feasibility 65

6.0 Conclusion 66

Works Consulted _ 68

Appendices 70

3

Page 4: Design and Analysis of a Concrete Modular Housing System

Table of Figures

Figure 1: 3D panel cross section ....................................................................... 19Figure 2: Details for attaching 3D panels to foundations using steel reinforcement ............ 21Figure 3: Details of a splice and square joint for 3D panels using reinforcement mesh ....... 21Figure 4: Details of a hip or ridge joint for 3D panels using reinforcing steel .................. 21Figure 5: Details for terminating 3D panel edges for headers and jams .......................... 22Figure 6: Details for attaching roofs to 3D panels ................................................... 23Figure 7: Assembly process for 3D panels ................................................ I........... 24Figure 8: Continuous feed dry-mix shotcrete guns .................................................. 27Figure 9: Dry mix shotcrete equipment layout ...................................................... 28Figure 10:Dry mix shotcrete nozzle .................................................................... 28Figure 11: Shotcrete placement on a flat surface ...................................................... 29Figure 12: Shotcrete placement in corners ............................................................. 30Figure 13: Shotcrete being applied to 3D panels ...................................................... 31Figure 14: 3D panels used across a roof span ......................................................... 32Figure 15: Abbreviated simple span load tables for different 3D panel configurations ......... 32Figure 16: Observed thermodynamic performance of 3D panels ................................... 35Figure 17:Basic structure and modularity of proposed house design .............................. 39Figure 18:5 unit house layout ........................................................................... 40Figure 19:Different modular layouts for 3, 5, 7, 9, and 12 units .................................... 41Figure 20: Joint proposed with continuous insulation ................................................ 42Figure 21:Interior wall joints in proposed design ..................................................... 44Figure 22: Sub-assembled unique panels ............................................................... 45Figure 23:Electrical conduits and face plate in corners .............................................. 48Figure 24:Electric distribution ........................................................................ 49Figure 25:Details for running a ventilation conduit through 3D panels ........................... 50Figure 26:The 5 unit house indicating radiant heat flooring configuration ........................ 51Figure 27: Assembled roof ............................................................................... 52Figure 28: Gutter and roof assembly ......................... 53Figure 29:Dimensions used for structural analysis of 3D panels ................................... 55Figure 30:Interaction curve for standard 3D panel per foot depth ................................. 57Figure 31: Continuous gable cross section used for 2 dimensional static analysis ............... 60Figure 32: Force distribution per foot depth under gravity loading for 2 hinge gable frame of

3D panels in 8 inch thick configuration ................................................... 61Figure 33:Force distribution per foot depth under gravity loading for 3 hinge gable frame of

3D panels in 8 inch thick configuration ................................................... 62Figure 34: Force distribution per foot depth under gravity loading for 2 hinge gable frame of

3D panels in 8 inch thick configuration with a steel collar tie across the span...... 62Figure 35: Force distribution per foot depth under combined gravity and 40psf uneven snow

loading for 2 hinge gable frame with collar tie ........................................... 63Figure 36: Force distribution per foot depth under combined gravity and 23psf wind loading

for 2 hinge gable frame with collar tie ..................................................... 64Figure 37: Force distribution per foot depth under combined gravity, uneven 40psf snow

loading, and 23psf wind loading for 2 hinge gable frame with collar tie ............. 64

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1.0 IntroductionConcrete homebuilding systems are a fast growing segment of the ever-evolving

residential construction industry. However, they are still underutilized in deference to

traditional wood-light-frame methods which continue to dominate the industry as they

have for centuries. While concrete is pervasively utilized in most construction fields

because of its performance and cost qualities, its use in residential construction has

generally been limited to foundation and other in-ground purposes. This fact is a result of

both the context and structure of the residential construction market, as well as

manufacturing issues inherent to concrete building methods. However, such performance

and cost advantages of concrete construction can, under the right circumstances, be

utilized in a residential environment as well. The emergence and development of various

successful residential-friendly concrete-based building systems over the past 25 years is a

testament to this claim.

One such system is generically referred to as 3-D panels. In this system, a

structural sandwich panel is constructed by pneumatically or manually applying a layer of

concrete to each side of a reinforced polystyrene panel. The panel consists of two steel

wire mesh planes offset on either side of a polystyrene core and connected through the

core by steel truss wires that transverse the core periodically at alternating angles and are

welded to the mesh planes on either side. The resulting structural element provides

exceptional strength-to-weight and insulating properties as well as a good deal of design

flexibility. A major breakthrough in this system came when an Austrian company, EVG,

developed the machinery to manufacture such panels in the late 1980s. Since its

inception, the building system has been marketed internationally under various trade

names and has been successfully used in both residential and commercial applications as

well as for landscaping purposes. However, to date the acceptance and utilization of these

panels in the residential market has occurred at a relatively small scale as compared to

some other concrete homebuilding systems. Part of the reason for this underutilization is

that traditional design and construction methods in-place must be altered significantly in

order to achieve a sufficient level of economy.

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Presented in this report is a design for a modular housing system constructed with

3D panels and respective analysis. The design of the system has been developed by the

author and his father, Domenico Sarcia. The designers aimed to produce a unique

commercially viable system and considered the associated construction process, form,

and performance. More recently the author completed a further analysis of the resulting

design regarding structural feasibility, energy efficiency, economic efficacy, as well as

various matters pertaining to practicality. In conjunction with an overview of the

proposed design and corresponding markets, materials and methods, these analyses and

resultant conclusions are presented in this report.

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Page 7: Design and Analysis of a Concrete Modular Housing System

2.0 BackgroundThe following section introduces concrete as a building material and discusses its

general use in construction industries. A brief overview of residential construction

industries is also given as well as an introduction to emerging concrete residential

construction methods.

2.1 Concrete1

Concrete is a unique material which has been developed and researched over the

thousands of years it has been in use. It is a composite of binding cement material and

small masonry aggregates that behaves in an effectively homogenous fashion. The

hydraulic cements used in concrete are initially fine powders that, when combined with

water, undergo an irreversible exothermic reaction at the molecular level called

hydration. The result is a material with adhesive and cohesive properties. Portland cement

was first patented in England in 1824 and is the cement most widely used today. The

functional ingredients are calcium and aluminum silicates naturally occurring in

limestone, shale, and clays. Such naturally existing materials are mixed and processed

along with other materials to produce portland cement in its useable fine gray powder

form. Complete hydration of portland cement generally occurs at a 4:1 ratio, by weight,

of cement and water. However, adding water in excess of the amount needed to hydrate

the cement is necessary to facilitate the interaction and helps make the mixture more fluid

and workable. In concrete, stone aggregates of various sizes are mixed with the cement

before or at the same time as adding water and generally attribute 75 percent of the final

concrete volume. Aggregates are mixed proportionally to reduce the interstitial volume

that the cement must fill. After being set, the concrete is cured as full hydration takes

place. The cement binds the aggregate particles in place and creates a structural matrix

that is effectively homogeneous at practical scales.

Any water in addition to that used by hydration will exist in the concrete as voids

as it sets which affects the concrete's structural properties. Water to cement ratios

between .4 and .7 are usually used, over which range the compressive strength decreases

by half. While generally, the cement gains its structural properties at varying rates over a

Concrete properties as described in Nilson et al. (2004). Design of Concrete Structures: 13h Edition

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Page 8: Design and Analysis of a Concrete Modular Housing System

28 day curing period at which point it reaches final strength, some portland cements can

achieve full strength in 14 days. Initial set of the concrete occurs early on after being

placed and up to 70 percent of the strength exists after the first week. Reaching maximum

strength requires maintaining favorable environmental conditions while the concrete

cures such as avoiding low temperatures and preventing premature drying out of the

surface.

As a structural material, concrete deviates significantly from the linear elastic

model that successfully predicts the behavior of most materials. The most fundamental

difference is that concrete's compressive strength overwhelmingly exceeds its tensile

strength. The relationship between stress and deformation as well as the impact of stress

state on strength also vary significantly between concrete and linear elastic materials. In

order to reconcile such deviations, research over time has developed models exclusively

for concrete behavior based largely on experiential data

The relationship between composition and concrete behavior has also been

investigated and manipulated extensively. Components are proportioned to achieve a

required balance between mixture economy, final strength, early strength, curing time,

and mixture workability while being placed (characterized by a field test and known as

slump). In addition to variations based on aggregate sizing, water-cement ratio, and

cement proportioning, concrete behavior is affected through use of materials known as

admixtures which are mixed in with portland cement in either liquid or powder form.

These admixtures are a variety of materials and are used for several different purposes.

Air entraining admixtures create small air bubble voids in the cement which decrease

strength in the same manner as extra water but also increase the fluidity of a mixture for a

given water-to-cement ratio and increase the concrete's durability. Set-retarding

admixtures slow the setting process such that concrete may be kept in workable form

longer while being placed if need-be. Conversely, accelerating admixtures speeds up the

set process such that strength develops faster. Water-reducing admixtures are also known

as plasticizers and decrease the amount of water needed for a mixture to achieve certain

level of workability or slump. Additionally, short fibers are sometimes mixed in with the

concrete mix to carry loads within the concrete when in tension, thereby increasing

tensile strength.

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Page 9: Design and Analysis of a Concrete Modular Housing System

Many different materials and sizes of aggregates can used in concrete but in

structural concrete lightweight processed aggregates are primarily used. These aggregates

are similar materials to those used in manufacturing cement and the resulting concrete

generally has a density between 60 and 150 pounds per cubic foot.

Characterizing the performance of concrete starts with the final compressive

strength, f' , from which other properties may be determined based upon empirical

relationships. When short-term loading occurs, stress increases linearly with strain much

like the linear-elastic model. Depending on the density and strength of the concrete, the

modulus of elasticity is estimated using one of several equations, the most simple of

which is for normal sand and stone concrete as presented in Equation 1:

Ec = 57,000/f' (Equation 1)

where the density of the concrete is assumed to be 145 pounds per cubic foot. Equation 1

is suitable for the analyses of the present research but other equations further consider the

density and ultimate strength of the concrete. Atf', strain is usually between 0.002 and

0.004. The Poisson's ratio characterizing the orthogonal strain is valid up to around 0.7f'c

and is between 0.15 and 0.20. When concrete is loaded for periods of time on the order of

100 days, creep increases the strain for a given load by up to 3 times. Also, fatigue is a

consideration in concrete and the fatigue limit of concrete is about half that off'c for on

the order of 2 million loading cycles. These are phenomena that must be accounted for in

structural use of concrete. In tension, the strength of concrete is on the order of the square

root of f'c but the exact relationship varies between different concretes. When overloaded

in tension, concrete separates and cracks. Additionally, in biaxial stress states, the

strength in one direction is alerted by up to 20 percent depending on the stress state of the

orthogonal direction. Orthogonal compression increases the effective strength while

tension decreases it. Shrinkage and temperature effects are also considered for concrete.

Information on concrete behavior is plentiful and the previous summary is very cursory

but gives an introduction none-the-less.

There are many parameters involved in designing and creating a concrete mixture

(known as batching), and the results are ultimately a balance of the properties required of

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Page 10: Design and Analysis of a Concrete Modular Housing System

the concrete as well as the availability and economy of resources. Detailed standards and

protocols are in place for batching and placing concrete, which are based both on theory

and statistical analysis of experimental data. After being mixed, performance of a batch

may be verified with tests in the field and lab to ensure slump and strength.

2.2 Concrete Construction Methods

Early structures built with concrete and similar materials utilized its mechanical

properties by designing structural members in compression. Such structures employ

members like arches to avoid tensile stresses for which concrete has very little resistance.

However, these design constraints are quite limiting and as a result, the practice of

reinforced concrete construction came about in the mid 1900s. The concept involves

combining lengths of steel with concrete beams to withstand the tensile forces as the

yield strength of steel in tension and compression is generally ten times that of concrete

such that members of much smaller cross sectional carry equivalent loads. However, steel

is much more expensive than concrete and members that are of significant length will fail

by buckling in compression long before yield loads are reached. Accordingly, reinforced

concrete construction utilizes the best qualities of both materials; the concrete resists

compression and prevents buckling of the steel rods known as re-bar in construction

while the steel reinforcement resists tensile loads. The rebar surface is textured in order

for the concrete to bind to and around it and the two materials have similar thermal

expansion coefficients which enable such construction to work. In buildings, tensile

forces usually result from bending moments in a beam rather than uniform tension of a

cross section, so the reinforcing steel is placed near the tension surface away from the

bending axis in order to provide the greatest moment resistance.

Utilizing concrete in construction requires batching it, transporting it to and

around the construction site, and supporting it while it cures. Usually batching is done in

a dedicated plant where conditions can be easily manipulated but is sometimes done on

site for smaller scale uses. It is transported to a work site with dedicated trucks which

constantly keep the concrete in motion to prevent setting. Onsite, it is either poured

directly in place from the truck or pumped through a hose to the final destination.

Because it is fluid when being placed, the concrete must be constrained and supported by

equipment specific to the application. These processes must be managed relative to each

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Page 11: Design and Analysis of a Concrete Modular Housing System

other and relative to time in order to succeed. Alternatively, concrete may be sprayed in

place pneumatically by a process known as shotcrete which will be discussed in further

detail later in this report.

The availability and low cost of concrete combined with its flexibility in

construction drives the pervasive use of it in practice. Conversely, the need to properly

contain and cure concrete in the construction process requires consideration of

environmental conditions, time-schedule, quality control, and special equipment in

addition to the planning needed for construction with materials that arrive on site in full

structural form. Also, structural analysis and design of concrete requires in depth

knowledge of concrete behavior and construction methods. These special considerations

mean that concrete construction is most effectively done on a large scale by designers,

engineers, and construction crews specializing in such construction.

2.3 Construction Design Methodology

Deciding how durable a building structure must be is a pretty complex process.

On a most basic level a building needs to serve its designated purpose and maintain its

function over a period of time. Usually, this requirement means that a building needs to

be strong and stiff enough to resist loading that it may encounter during service and still

maintain its form and function. A building must also be able to withstand deterioration

from elements such as water and fire. In construction, there are guidelines to determine

the service loading that a structure could expect and associate frameworks to construct a

building capable of withstanding such loads. The process centers around traditional

mechanical structural analysis methods and these guidelines seek to organize similar

structures and characterize their performance based on parameters determined from both

structural analysis and real world experience. Codes exist related to design analysis as

well as construction methods. Design codes consider the environmental conditions a

building can expect based on its location related to wind loading, seismic loading, as well

as water and snow loading. Methods are also in place to predict the strength of a structure

such that a design may be matched to its location. Generally, these codes are regulated

and enforced by the local government but standards are often also developed by industry

associations.

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Page 12: Design and Analysis of a Concrete Modular Housing System

Many different codes exist across the numerous industries involved in

construction. Some notable standards are those developed by the American Concrete

Institute (ACI) that govern strength analysis and construction processes related to

concrete construction. Other groups such as the American Society of Civil Engineers

(ASCE), American National Standards Institute (ANSI), and the American Society for

Testing and Materials (ASTM) also have developed standards. For residential

construction, the exact standards are designated by the local building inspector but most

guidelines reflect those set forth in the International Residential Code which is endorsed

by a variety of relevant associations.

Historically two different design methods have been used to develop codes. The

older method essentially predicted the loads a building would see from a day to day basis

and designed the structural strength such that those loading conditions would be

somewhere in the middle of the strength curve. This method is similar to the use of safety

factors, assuming that the building materials will always remain within the linear elastic

regions of their stress-strain curves. However, the problems that resulted from such

methods were that when a rare loading case occurred such as an earthquake or extremely

high winds not expected by the design analysis, the buildings would often fail. The newer

method often call ultimate strength design (USD) seeks to consider the highest loading a

building would ever see even if it be very rare and requires the building not to fail under

such a case. However, because ultimate strength is considered, the materials must be

modeled beyond their elastic regions complicating analyses. Such a method matches

concrete construction well because inelastic analysis methods already must be used as

noted previously. Generally, all codes and standards are now based on USD methods.

2.4 Residential Construction MethodsOn the other extreme of the spectrum from large scale reinforced concrete

construction is residential construction. While each building constructed with reinforced

concrete involves extensive planning and analysis, residential structures require fast high-

volume construction methods that may be carried out by available labor and analysis

methods that may be applied universally. Accordingly, the two industries are extremely

different and largely independent.

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Page 13: Design and Analysis of a Concrete Modular Housing System

The overwhelmingly dominant method of residential construction is known as

wood-light-frame construction. Houses built with this method are built upon of frames

made from standard, widely available wood lumber. All the pieces of lumber are

assembled one by one onsite and each piece can usually be manipulated by one person.

Outside and inside sheeting materials complete the structure and service equipment is

also built into the building. This equipment is generally, doors and windows, electrical

wiring and related hardware, plumbing and related hardware, and ventilation provisions.

The methods for residential building are complicated and the exact details are not

as important as the general structure of the process. While houses may be built in many

different shapes and orientations, the design is constructed using standardized materials

and construction methods. Because of this standardization, the sub-components of each

house may be completed by different constructions crews specializing in each component

without requiring extensive communication between the crews or architect in addition to

blueprints. This frame-work also allows materials to be processed for use onsite with

little to no modification from the form they are marketed in. The following is a brief

overview of the process.

The land to be built on is first cleared and a foundation is excavated. Once a

foundation is poured the frame is erected. Walls are generally framed with 2 x lumbers

while floor joists and roof frames or trusses often use pre-manufactured wood beams.

Additionally, elements such as stairs are also framed with wood. Once the framing is

completed, the exterior surface is covered and the walls are completed with insulation,

windows and doors, and appropriate water barriers. Crews also work on installing the

mechanical. electrical and plumbing infrastructures. Usually one crew is responsible for

each system and it is the responsibility of each crew to work out the exact details of the

system to be installed. Another crew also installs the roofing and one installs the interior

drywall surface.

A contractor works with the owner and architect to develop plans for the house

and then manages all the different sub-contractor teams. While different materials and

proprietary systems to be used during construction have been developed, the houses built

with this method today strongly resemble those of decades ago. Each sub-contractor

specializes in certain methods and can consequently demand a high wage although the

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Page 14: Design and Analysis of a Concrete Modular Housing System

labor market is not unionized. Generally, such methods are considered inefficient and

various efforts such as pre-manufactured housing have been used to improve on the

associated economy. Many initiatives for better building methods have emerged over the

past years and people want to make houses more energy efficient and less expensive to

build. However, any of these improvements have to battle a huge in-place industry that

they seek to displace in large part. Such resistance from the market combined with

material and labor resource issues have prevented maximum utilization of such

innovations in large part. The successful innovations are those that can be integrated into

the existing system without much reorganization of the construction process or labor

break down. Manufactured components that are improvements on but still adhere to the

independent subcomponent system have seen reasonable success.

Another aspect of the residential market is developing and approving designs. Just

as standards components and methods are used to achieve economy, standardized

analysis methods are in place for designing residential structures. It is not cost effective

to undertake a full analysis of each home built so the design codes and methods are such

that a building design may be characterized and judged without a complete analysis. The

use of standardized components and methods makes this type of structural verification

possible.

2.5 Concrete Homebuilding Systems2

Concrete has historically found limited use in residential systems despite the

benefits associated with it. The heavily involved timing of separate crews and need for

flexibility in schedule often prevent the use of concrete which much be managed relative

to time. Also, the need for unique construction methods for proper installation leads

residential builders to pass over it in preference to using components which are more

forgiving. However, systems that utilize concrete in a residential friendly manner have

emerged over the past quarter century and are gradually gaining acceptance. A variety of

different products are being developed and used and offer the traditional benefits of

concrete as well as emerging ones as listed in table 1.

2Primary source: Vanderwerf P., Munsell, W.K. (1994). The Portland Cement Association's Guide toConcrete Homebuilding Systems

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Page 15: Design and Analysis of a Concrete Modular Housing System

Table 1. Benefits of Concrete StructuresFrom Concrete Homebuilding Systems, VanderWerf and Munsell

Traditional Emerging

Price stability Low costSupply stability Attractive finishesDurability High R-valueLow maintenance Design flexibility

Fire resistance Water resistance

Wind resistance Earthquake resistanceReduced insurance premiums Speed of constructionThermal mass and energy efficiency Ease of construction

Termite and insect resistance All-weather construction

Rodent resistance Low skill requirementsRot resistanceLocal SupplySound resistanceNontoxicity

Before recently, concrete in residential settings was poured or used as pre-cast

block systems that had to be mortared together. The old block and mortar systems had

many problems with moisture resistance and they also didn't provide the full versatility

of cast on site concrete methods. Buildings that were built with the block and mortar

system often utilized two building envelopes separated by insulation and drainage

provisions. The interior envelop was either a traditional wood frame or a masonry one

like the exterior.

However, modem residential concrete products are a far cry from traditional

block and mortar methods. Aside from the durability and other benefits associated with

these products, the growth of the concrete residential market has been mostly market

driven. Builders generally only use the systems if the owner puts a higher value on

concrete or if they may be used to produce the same building for a lower cost. Spikes in

lumber prices drove a lot of the early use of concrete systems.

When builders began using concrete because of economy, the system to be used

was evaluated in context of the existing labor and time framework. Accordingly, systems

that didn't require much extra labor or higher learning costs were the most appealing.

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More recently such economy aspects still drive the use of concrete but the desire for more

durable structures has become more of a concern. As homeowners become more

educated and technology develops, traditional wood-light-frame methods are seen as

more and more antiquated as compared to the residential buildings possible today with

concrete. While this trend is nowhere near as wide spread as possible, it is gaining

ground.

In 1995, Pieter A. VanderWerf and W. Keith Munsell of the Portland Cement

Association published a book Concrete Homebuilding Systems describing and evaluating

the various concrete systems on the market. Their research included talking with the

manufacturers of each product as well as surveying builders who had experience with

each system. Because their research was completed at a time when these systems were

relatively new, the builders they surveyed were mostly traditional builders trying out the

new systems. Accordingly, they present each system in terms of its potential benefits as

well as in terms of being integrated into the traditional building process. The research

also surveyed owners of homes built with concrete in order to examine the market factors

driving the utilization of each system. Their conclusions were that the residential concrete

market may be broken up into 5 segments: value, quality, cost, safety, and energy. While

these segments are inevitably interrelated, they are identified independently as the

primary motivation for choosing to use a concrete system. Also, the research primarily

concerned the use of concrete systems for exterior walls.

Before comparing different construction systems, characteristics must be selected

upon which to judge, the most obvious of which is cost. As a bench mark the cost break

down of traditional wooden wall frame construction per square foot of exterior wall is

considered as presented in table 2.

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Page 17: Design and Analysis of a Concrete Modular Housing System

Table 2. Approximate Costs of 2-x-4 Wood Frame Exterior WallsFrom Concrete Homebuilding Systems, VanderWerf and Munsell

Component Cost per square foot wall area

Structure and InsulationMaterials 1.40

Labor 1.05

Subtotal $2.45

Finishes (material and labor)Exterior siding 0.80-9.50Interior sheetrock 0.80Interior paint 0.70Subtotal $2.30-11.00

Total $4.75-13.45

The thermodynamic performance of a structure is also very important to cost as it

affects the amount of energy needed to maintain comfortable living conditions while the

environmental conditions vary. The propensity of a cross section to transfer heat across it

is considered in terms of thermal resistance; the higher the thermal resistance, the less

heat will flow across the cross section for a given temperature differential. In

construction, thermal resistance is characterized as an "R value". For a traditional wood

frame wall, the R value is determined by the geometry and composition of the different

materials from which it is constructed. While different forms of the R-value are used for

different types of analyses, the most basic is the insulation R value which is R- 11 for a

standard stud wall. Another consideration regarding thermodynamic performance of a

cross section is called "thermal mass" which is the heat holding capacity as determined

from the specific heats of the materials. For example, a building with high thermal mass

walls will absorbed heat during the day and slowly release it as the temperature drops at

night. Depending on the environmental fluctuations, thermal mass will provided passive

heating and cooling in order to achieve the same energy requirements with a lower

insulating value. Thermal mass on the interior surface as well as on the external surface

of the building may be beneficial.

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Page 18: Design and Analysis of a Concrete Modular Housing System

When evaluating the insulating capacity of a whole building envelope, any break

of the insulating cross section will lower the value. Aside from openings such as

windows and doors, structural elements with a low thermal resistance that cross the

insulation barrier lower the value. These conductive pathways are referred to as thermal

shorts.

Other factors that come into play when evaluating wall systems are the

maintenance required, resistance to elements, product availability, building department

approval, disaster resistance, required calendar time, and installation simplicity.

Mortar and block systems like those that used to be available are still in use and

manufacturing improvements have led to much better connections and lower cost. Also

now in use is mortar-less block systems which are stacked together without mortar

between them but rather applied to the surface of the seam. This improvement increased

the dimensional precision of such a method and eliminated a lot of the labor involved in

assembly. Panel systems are also presently available where large hybrid wall panels are

manufactured with pre-cast concrete and brought to the work site for assembly. The

systems just described arrive on site in final structural form and are quite different from

methods where concrete is cast on site. One such cast on site method is that of insulating

concrete forms (ICFs). ICFs are presently the most widely used residential concrete

system. Insulating forms are assembled to create a free standing wall with an outside and

inside insulation layer and internal cavity. Concrete is pumped into the cavity from the

top to make a final wall that has a monolithic concrete core with insulation on either side.

Interior and exterior finishes are applied to the insulation and utility management is

integrated into the system as well. While such a system is simple and easy to build with,

the resulting wall is not efficient from a structural or thermodynamic standpoint because

the load bearing, conductive component is closest to the wall's neutral axis requiring

relatively thick cross sections. An alternative method is that of 3D panels which is

presented in the following section

18

Page 19: Design and Analysis of a Concrete Modular Housing System

3.0 3D Panels

3.1 Introduction

3D wall panels emerged as a form of concrete wall construction in the late 80s.

Concrete is applied once the panels are in place by pneumatically spraying it onto the

surface (known as shotcrete). The cross section of the panel is shown in Figure 1.

Ordnal 'k.e"' wlroa

Figure 1: 3D panel cross sectionFrom NER-454

The welded wire fabric is galvanized or untreated steel wire spot-welded together

into a 2 inch by 2 inch square grid. The "truss" wires are also spot welded to the wire

grids at alternating angles and pierce through a block of insulating foam (either expanded

polystyrene of molded EPS). The panels come in a variety of configurations based on

materials and dimensions. In a standard panel wires are 11 gauge, the two wire grids are 4

inches apart with a 2.5 inch insulating core. The shotcrete may be applied to a variety of

thicknesses but in standard panels a 1.5 inch layer is applied to each side to give a final

wall thickness of 5.5 inches. Panels are connected with ring clips where the welded wire

grids meet and additional mesh is placed over the seam and ring clipped to each wire

grid. The resulting structural panel cross section is very strong and provides great

insulation and weather resistance. In fact, the panel's performance was proven when

19

Page 20: Design and Analysis of a Concrete Modular Housing System

hurricane Andrew swept through Florida in 1992; most all residential buildings hit by the

hurricane were destroyed except for 14 houses built with 3D panels by Habitat for

Humanity whose roofs were destroyed but walls remained unharmed3. Such disaster

resistance primarily drives the market for 3D panel construction which is mostly

concentrated in the southeast and southwest.

An Austrian company, EVG, who makes machinery to manufacture wire mesh,

developed the machine to make the panels. The high speed machine takes the raw

material and makes the panels with high precision. Panels are manufactured in 4 foot

widths and weigh little more than 1 pound per square foot before shotcrete is applied. The

panels are usually sold under the broad trade name Insteel 3D Panels and distributed

internationally under different brands. Each distributor generally owns one of the

machines and makes the panels on site. The panels may be used for a variety of purposes

including residential construction. Many tests and analyses have been performed on the

panels and the distributors provide documentation on test performance, code compliance,

and panel strength.

3.2 Installation and Construction MethodsIn residential construction, the panels are usually used for walls but sometimes

used for foundations and more rarely for roofs. For walls, the panels are assembled

vertically and tied to rebar sticking out of the foundation. Typical details for a foundation

joint are shown in figure 2. Reinforcing mesh is placed over the seams and around

corners to create a continuous joint. Typical details for a splice and corner joint are

shown in figure 3. Additionally, ridge joints may be designed to transfer significant

moments with reinforcing steel as described in the typical details shown in figure 4.

20

3http://www.3-dpanelworks.com

Page 21: Design and Analysis of a Concrete Modular Housing System

"II

it}~~~~

Figure 2: Details for attaching 3D panels to foundations using steel reinforcementFrom ICS 3-D Panel Works Complete Typical Details

_ ' 1 -' I ' ' I ' ' is ' l ' I ': It ' ' I: ' i

Figure 3: Details of a splice and square joint for 3DFrom ICS 3-D Panel Works Complete

panels using reinforcement meshTypical Details

Figure 4: Details of a hip or ridge joint for 3D panels using reinforcing steelFrom ICS 3-D Panel Works Complete Typical Details

21

.............

l

Page 22: Design and Analysis of a Concrete Modular Housing System

Cutouts for windows and doors are removed usually once the panels are

erected. The steel grid facilitates easily locating and cutting square holes in the panels but

most any shape may be cut out and shotcreted around. A handheld reciprocating metal

cutting saw easily makes the cuts. Rebar is tied into the grid above the openings to resist

the resulting tensile loads there and wire mesh overlay is attached at 45 degrees to the

grid at the corners to resist the stresses that develop there. Wooden bucks are usually used

to frame the inside of the window or door inside of which a conventional frame may be

mounted. Typical details for a header and jamb of an opening are shown in figure 5. In

the case where a panel end is terminated but a wooden jamb isn't used, overlay mesh bent

in a U pattern terminates the panel as described by the typical details also shown in figure

5.

.........................

Figure 5: Details for terminating 3D panel edges for headers and jamsFrom ICS 3-D Panel Works Complete Typical Details

Presently, utilities are installed by removing some of the wire and insulation

core and running conduits inside of the wire mesh before shotcreting. For the most part,

3D panels are only used for vertical walls but are sometimes used across a span.

Additional rebar must be run along the tension side of such a panel in bending but the

manufacturer suggests that the panels may be used to support significant loads for simply

supported spans of up to 20 feet. Regardless, when used with a manufactured truss or

frame roof, truss anchors are inserted into the top edge of the panels as shown in figure 6.

22

Page 23: Design and Analysis of a Concrete Modular Housing System

Figure 6: Details for attaching roofs to 3D panelsFrom ICS 3-D Panel Works Complete Typical Details

Before shotcreting the panels are also braced temporarily to resist the impulse against the

wall caused by the shotcrete being sprayed. The panel assembly process is very quick,

usually a matter of days. Figure 7 shows various stages of the process.

23

Page 24: Design and Analysis of a Concrete Modular Housing System

Panels arrive on site; a4'x8' standard panelweighs only 38 pounds.

Windows and doors are cut out with areciprocating saw and wooden framesare usually inserted.

Walls are braced for shotcreting.

Some of the wire andinsulation is removed to runutilities inside the wall

Figure 7: Assembly process for 3D panels

24

s are assembled and connected toation rebar. Mesh strips overlayand wires are clipped togethera special tool

I

Panel,,foundjoints

Page 25: Design and Analysis of a Concrete Modular Housing System

3.3 Shotcrete 4

After the panels are assembled and readied, the shotcreting process begins.

Shotcrete came about as a method of placing concrete in the early 1900s. Shotcrete is

good for its versatility and because it does not require any constraining of the concrete

while it cures. It is used extensively to repair buildings, bridges, marine structures, and

spillway surfaces, for underground excavation and tunnel reinforcement, for slope and

surface protection and for new construction of pools, tanks, domes, and floors. There are

two types of shotcrete: wet mix, and dry mix. In wet mix shotcrete, the concrete mix is

combined with water before it is pumped to the applying nozzle with high pressure air.

Alternately, in dry mix shotcrete, also known as gunite, the cement and aggregate is

mixed before being pumped to the nozzle where a separate water feed is added. Both

methods are used and each has its benefits and disadvantages. Gunite is better for

intermediate use and small scale projects because the hydration of the concrete mix isn't

initiated until the nozzle and the water may be adjusted as needed, while wet mix

methods are better suited for high volume continuous use situations where the water-

cement ratio must be consistent. Additionally, gunite precludes the use of any admixtures

aside from accelerators which means that the freeze-thaw durability of the concrete can

not be improved with air entraining admixtures. Neither method can make use of air

entraining cements either. However, gunite provides higher final and bond strengths and,

if done correctly, will not produce cold joints from intermediate application. Accordingly,

gunite is the method of choice for 3D panels; managing the concrete becomes much more

suited to residential organization and the geometry of the concrete and reinforcement

does not require exceptional strength or freeze-thaw resistance that could only be

achieved using admixtures.

The materials used in gunite are the same as those used in regular concrete

though aggregate sizing is limited by the passages and hoses the mix must travel through

so smaller sizes only are used. Cement and aggregates are mixed offsite and delivered or

mixed onsite with prepackaged bags of cement. When it is delivered from offsite the

mixture is already at the 3 to 6 percent moisture content necessary for proper equipment

use but mixtures made from bagged cement must be pre-moistened onsite as well.

4Practices as outlined in American Society of Civil Engineers (1995). Standard Practice for Shotcrete

25

Page 26: Design and Analysis of a Concrete Modular Housing System

Accelerating admixtures may also be added to the mix in powder form giving an initial

set in as little as 1 minute and a final set in as little as 4 minutes. Silica fume is also

sometimes mixed with the concrete to improve performance. A waste product of silicon

alloy production in submerged electric furnaces, it reduces permeability, increases

density, strength, and durability but is relatively costly compared to the other materials.

Generally no special additives are used in the concrete for residential 3D panels and

aggregates are coarse sand with no gravel. Also, a 2 inch slump is usually used and 3000

psi concrete is suggested by the manufacturer.

When being sprayed onto a surface at high pressure, a portion of the mixture

bounces off and is called rebound. Shotcrete may be applied to both vertical and

horizontal surfaces but the rebound varies accordingly. Table 3 shows the rebound

expected for these different situations. When proportioning a mix it must be considered

that because of the differences in density, the aggregate bounces off more readily leading

to higher cement content in the remaining concrete. Test panels may be used to check the

12 hour, 7 day, and 28 day strengths of the concrete but usually is only necessary if

strength above 5000 psi is specified. Table 3 relates the final 28 day compressive strength

of dry-mix applied concrete with cement content. Strength develops early in gunite even

without accelerators, developing up to 1000 psi in the first 5 hours of curing and up to

3000 psi in the first 24 hours. Because of the impulse force involved in spraying concrete

onto the work surface, the resulting bind strength to reinforcing steel is higher than with

poured concrete. However, the reinforcement must be spaced widely enough that the

shotcrete can fully encapsulate it.

Table 3. Rebound for shotcrete on various surfacesFrom ASCE Standard Practice for Shotcrete

Work surface Percent rebound by mass for dry mixFloors and slabs 5-15Sloping and vertical walls 5-25Overhead work 25-50

26

Page 27: Design and Analysis of a Concrete Modular Housing System

Table 4. Shotcrete strengthf' for different cement contentsFrom ASCE Standard Practice for Shotcrete

28 day comp. strength Cement content(psi) (lbs/cubic yard)3000 500-6504000 550-700_5000 650-850

In small scale residential construction, shotcreting in performed by a dedicated

crew using relatively little specialized equipment. If mixed onsite, portable batching

equipment and a pre-moisturizer are used but mixtures delivered from offsite are directly

fed into what is called a gun. The more common type is a continuous feed gun that

consists of a hopper that receives the pre-moistened mixture and meters it into a hose to

which a portable air compressor supply is attached. The air drives the mixture through the

hose to a nozzle in which a perforated water ring supplies the water. The pneumatic

spraying action is enough to thoroughly mix the water and mixture. It is also notable that

this method of mixing and placement lowers the need for extra water to improve

workability and uses a relatively low water-cement ratio. Figure 8 shows a diagram of a

continuous feed dry-mix gun and a commercially used model while figure 9 shows a

layout of all the equipment and figure 10 shows a diagram of a typical dry mix nozzle.

Figure 8: Continuous feed dry-mix shotcrete gunsFrom Reed Concrete Pumps and ASCE Standard Practice for Shotcrete

27

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Page 28: Design and Analysis of a Concrete Modular Housing System

/¢R· ,00VPR£ $

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Figure 9: Dry mix shotcrete equipment layoutFrom ASCE Standard Practice for Shotcrete

WATr Rw - \- Cupli:G se/ R

Figure 10: Dry mix shotcrete nozzleFrom ASCE Standard Practice for Shotcrete

The water may be manually controlled at the nozzle to achieve the desired results.

A small-scale shotcrete crew centers on the nozzleman who operates the nozzle and is the

most important member requiring the most training and expertise. The nozzleman is

assisted by a delivery equipment operator who operates the gun hopper and hoses, a

person to haul away rebound, and an assistant to operate a blow pipe that sucks up

rebound as it comes off and to provide general assistance. Exact team structure varies

between teams and applications but the consistent feature is that the nozzleman is in

charge. He is responsible for proportioning the mix, placing the shotcrete, and managing

the other team members.

28

-----------

Page 29: Design and Analysis of a Concrete Modular Housing System

Gunite is applied to a surface in layers. Often a thin initial surface is first sprayed

and then kept moist to prevent contaminating the bare surface. Subsequent layers are then

added with significant thickness, inches thick. Each layer must reach final set before

another layer may be applied on top of it. screeding and trowelling can also be used to

finish the surface. For flat surfaces the gunite nozzle is held normal to and about 3 feet

from the work surface. Surface area is covered by sweeping the nozzle in an elliptical

pattern approximately 18 inches wide and 6 inches high, advancing 3 to 6 inches every

rotation as shown in figure 11. For corners the nozzle is held at an angle bisecting the

comer to avoid trapping rebound as shown in figure 12. Scaffolding is used to allow

nozzlemen access to surfaces as are extendable methods such as robotic arms and boom

trucks. Maintaining adequate moisture for the initial 7 days of curing helps prevent

shrinkage cracking of the concrete and provisions such as sealant coatings, fogger

nozzles, and sprinklers may be used.

H t Uc:M II.1 64 I

13 6 I. I.

15-20 CI[ -9 IN I

Figure 11: Shotcrete placement on a flat surfaceFrom ASCE Standard Practice for Shotcrete

29

I

I

Page 30: Design and Analysis of a Concrete Modular Housing System

Figure 12: Shotcrete placement in cornersFrom ASCE Standard Practice for Shotcrete

For 3D panels one structural layer of shotcrete is first applied to the panels and

then a second finish layer with more attention given to a smooth consistent surface. Piano

wires are also often set across the panels at the required thickness to guide the process.

Usually, a stucco finish layer is applied to the exterior but sometimes the concrete itself

may be painted if no coarse aggregate is used and it is trowelled smooth. Cement based

stucco may be used and painted or more advanced colored polymer based stuccos may be

used for a significantly higher cost. Most residential projects use some sort of polymer

based finish layer on the exterior which means either latex or elastomeric paint or

polymer stucco. The resulting walls essentially never transmit moisture. A stucco finish

may also be applied to the interior surface but most residential applications install

inexpensive drywall with concrete nails. The drywall may be lifted slightly from the

surface for running low voltage wires or using hollow wall anchors. Figure 13 shows

shotcrete being applied to 3D panels.

30

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Page 31: Design and Analysis of a Concrete Modular Housing System

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Figure 13: Shotcrete being applied to 3D panelsFrom http://www.3-dpanelworks.com

Concrete may also be applied to the panel by traditional pouring methods if

poured at least 2 inches thick and encased by steel, aluminum, or wooden forms. The

manufacturer suggests such methods could be utilized to construct below grade

foundations with the panels orienting horizontally in the ground. After the foundation

trench is excavated, an initial bottom covering of concrete would be applied on top of

whatever gravel and backfill is needed for drainage. The panel would then be inserted in

the trench along with temporary supporting walls while concrete is pumped into the

cavity. Supporting rebar for the vertical walls would also be integrated into the panel

while the concrete is poured.

Similarly, the panels may be used to construct an insulating floor. An initial slab

is poured on grade above the foundation with a self leveling concrete mix. 3D panels are

then placed on the wet slab and floated by the insulating core while the reinforcing mesh

is submerged in the concrete. Such a configuration is very useful for radiant heat flooring

systems because it prevents heat loss through the floor and the heating tubes may be

easily attached to the top supporting mesh before a final slab is laid down. While

foundation and slab cracking can be problems with traditional concrete methods, the

31

Page 32: Design and Analysis of a Concrete Modular Housing System

geometry of thin reinforced concrete layers in 3D panels prevents cracking in the

foundation and slab just as for walls.

As previously mentioned, the panels may also be used across horizontal spans.

Additional rebar is run along the bottom surface to absorb the tensile loads. The rebar is

extended down along the supported walls as well. In such a situation, the panels must be

supported while the shotcrete is placed and cured which generally limits frequent use.

Figure 14 shows some examples of 3D panels being constructed across a span while

figure 15 is an abbreviated version of the simple span load tables provided by the

manufacturer which may be found in full in appendix A.

Figure 14: 3D panels used across a roof spanFrom http://www.tridipanel.com

~~~~~~~~~~~~~~~~~~~~~~~~~..I 3-D PNEL CONFIGURATION

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Figure 15: Abbreviated simple span load tables for different 3D panel configurationsFrom ICS 3D Panel Works

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,

Page 33: Design and Analysis of a Concrete Modular Housing System

3.4 Properties of 3D panelsAs noted previously, 3D panels are manufactured in many different

configurations. The insulating core may be expanded polystyrene of molded EPS and is

1.5, 2.5, or 4 inches thick. The reinforcing wire structure may be galvanized or not and is

either 11 or 14 gauge wire. The width of the structure is 3, 3.5, 4, 4.5, or 5.5 inches. The

truss wires are spaced at a density of either 5 or 9 per square foot. Table 5 shows some

common dimensional configurations often referred to in the associated literature.

Table 5. Geometry of commonly used 3D panel configurationsFrom ICS 3D Panel Works

gauge Overall Insulation RIM Truss densitywidth (in) width (in) width (in) (per sq. ft.)

Minimum panel 11 4.5 1.5 3 9No. 14 gauge panel 14 5 2 3.5 5Standard panel 11 5.5 2.5 4 9Maximum panel 11 6 2.5 4.5 9Two-hour panel 11 6.5 2.5 4 94 inch core 11 7-8 4 5.5 5

One of the concerns for materials in residential structures is fire resistance. Fire

resistances of standard panel configurations were determined from calculations and test

results. In the tests and calculations the panels were exposes to fire from both sides and

the results are displayed in table 6. Trends in the results suggest the most influential

factor is the width of the concrete. A full 2 inches on either side is required for 2 hour

resistance.

Table 6. Fire resistance of different 3D panel configurationsFrom ICS 3D Panel Works

Carbonate Siliceous Aggregate Concrete ThicknessAggregate

Standard panel 1.5 hr 1 hr 1.5 inMinimum panel 1.5 hr 1 hr 1.5 inMaximum panel 1.75 hr 1.5 hr 1.75 inTwo-hour panel 2 hr 2 hr 2 inNo. 14 gauge panel 1.5 hr 1 hr 1.5 in

33

Page 34: Design and Analysis of a Concrete Modular Housing System

The insulating capacity of the panels also depends on their exact configuration. In

most residential applications, the largest panel is used with a 4 inch insulating core and

5.5 inch wide reinforcing structure. Usually a 1.5 inch layer of concrete is used on either

side in these cases to make a 7 inch wide wall. Such a panel has a rating of R-18 if the

core is molded EPS and R-20 for the more expensive expanded polystyrene. Alternately,

a standard panel with a 2.5 inch molded EPS core has a rating of R- 1. The panel's

thermal mass varies with concrete thickness between 7 Btu per square foot per degree F

for a 1.5 inch thick layer and 9.33 Btu per square foot per degree F for a 2 inch thick

layer. These calculations assume a concrete density of 120 pounds per cubic foot.

Another important consideration regarding the thermal performance of a 3D panel

structure is that of thermal shorts. A large portion of the panels' insulating capacity

comes from the fact that the only conducting elements passing between the exterior and

interior envelope are the truss wires of very small diameter. When assembled, any spot

where insulation is removed all the way through will create a thermal short as the

concrete will conduct heat between the two envelopes. This fact should be considered

when analyzing joint designs. Also, removing insulation for utilities will decrease the

insulation rating even if some insulation still remains.

The thermodynamic performance of the panels was experimentally evaluated at

the Granite Mountain Reserve built with 3D panels in the Mojave desert. The heat flux

and temperature distribution across a 3D wall was observed over many days. Figure 16

shows some of the results of this research.

34

Page 35: Design and Analysis of a Concrete Modular Housing System

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Figure 16: Observed thermodynamic performance of 3D panelsFrom http://www.tridipanel.com

The panels also act as good acoustic insulators because of the two layers of

concrete and have a sound transmission class of 35 without sheetrock and 40 with

sheetrock.

As mentioned previously, 3D panels are often utilized because of their disaster

resistance as showcased by the houses that survived hurricane Andrew. Builders using

3D panels in near the coasts of Georgia and Carolinas report designing buildings to meet

the stringent 120 mile per hour wind rating of that area using only the 14 gauge panels.

Also, 4 buildings made with 3D panels in the Mojave desert survived two earthquakes in

1992 called the Landers earthquakes. The earthquakes were 6.5 and 6.9 on the Richter

scale and the epicenters were around 50 and 75 miles from the buildings. Engineers

inspecting the structures after the earthquakes reported no damage to superstructures or

foundations. 5

3.5 Costs associated with 3D panel constructionTable 7 shows an average price break-down of building with 3D panels. The

numbers are based on the previously described surveys in Concrete Homebuilding

Systems. The numbers presented are an average of those reported which varied by more

35

5 http://www.3-dpanelworks.com

r *

Page 36: Design and Analysis of a Concrete Modular Housing System

than 1 dollar per square foot in each direction. Most of the builders were traditional

contractors beginning to use 3D panels. The houses built using these methods ended up

being more expensive than equivalent frame houses and the performance provided by the

panels justified the additional cost. The numbers shown give a good sense of the relative

cost of these panels but could certainly be reduced by streamlining construction methods

and by designing specifically for 3D panels.

Table 7. Average reported costs for 3D exterior walls per square foot wall areaFrom Concrete Homebuilding Systems, VanderWerf and Munsell

Component

Structure and insulation5.5 inch panels with EPS insulation

Cover mesh and wire ties

ConcreteMisc. lumberPanel assembly laborShotcrete and finishing labor

Rough finish both sides

Smooth finish both sides

Subtotal

Cost per square foot wall area

2.15

0.25

1.00

0.25

2.25

1.05- 1.25

1.05

1.25

$6.95 - 7.15

Exterior siding andfinish (material and labor)Elastomeric paintPC stucco and paint

PB stucco (colored)

Interiorfinish (materials and labor)Paint onlySheetrock, furring and paint

Total

$0.80 - 2.50

0.801.00

2.50

$0.80- 1.50

0.801.50

$8.55- 11.15

3.6 Summary of benefits of 3D panel construction

3D panels are certainly an appealing construction method for certain residential

situations. In Table 8 the manufacturer summarizes the benefits.

36

Page 37: Design and Analysis of a Concrete Modular Housing System

Table 8. Benefits of 3D panels as cited by the manufacturerFrom http://www.3-dpanelworks.com

Reduces Construction Time: Allows erection of walls in considerable less time thanother existing methods of construction. A standard 4' X 8' 3-D panel weighs only 38pounds and can be positioned and attached to adjacent panels by one man in a manner ofminutes.

Reduces The Need For Heavy Equipment At The Job Site: Handling and erection of3-D panels arc very simple and can be accomplished with vary little equipment and aminimum of manpower.

Fewer Trades On Job: The building system requires fewer different trades on the jobsite since insulation is included in the panels, unskilled labor can install, and the concreteapplication can be brought to a desired finish. Along with the simplicity of a "systemswall", bookkeeping is made easier as less checks have to be issued and paper work isreduced.

Greater Structural Integrity: The 3-D panel system, erected and shotcreted, gives theowner a continuously reinforced, insulated wall that will accept a variety of interior andexterior finishes, including its natural texture. This monolithic structure provides anextraordinary strength-to-weight relationship.

Offers Design Flexibility: The 3-D system allows the architect/engineer to design forvarious wind loads and seismic conditions. The Council of American Building Officialswhich includes BOCA, ICBO, and SBCCI approved the 3-D panel system and issuedReport No. NER-454. The 3-D system can be used in single-story or multi-storyfacilities. ICS 3-D Panel Works, Inc. is available to assist you with design and estimatingdetails.

Superior Fire Resistance: With 1.5 inches of concrete applied to both sides of 3-Dpanels, a fire rating of 1.5 hours is obtained; 2 inches gives a 2 hour rating. Ratings canbe increased with the increase of concrete or other coatings and finishes.

Lower Maintenance costs: The 3-D system, which yields a concrete structure, accepts avariety of internal and external Finishes to minimize maintenance requirements.

Excellent Sound Attenuation Characteristics: Due to its double shell construction, theconcrete/polystyrene/concrete sandwich panel configuration minimizes soundtransmission.

Earlier Completion Offers Earlier Occupancy: Ease of installation and overallreduction of labor required provides the owner earlier occupancy and reduces total capitalinvestment.

Excellent Thermal Insulation: The standard 3-D panel has modified expandedpolystyrene as its thermal barrier and meets VA, FHA and HUD requirements.

37

Page 38: Design and Analysis of a Concrete Modular Housing System

Simplified Utility Installation: Space between mesh and insulation allows for easyplacement of electrical conduit or piping prior to the application of concrete.

Environmentally Safe: Wire used in the production of the 3-D panel is manufacturedfrom recycled steel. The process used to make polystyrene does not involve CFC's whichwere phased out in 1989. Our forests are not threatened by this system since it uses steel,polystyrene and concrete, ..twenty first century technology - today.

3.7 Code Compliance and VerificationResponsible use of 3D panels in construction has been verified numerous times

using a variety of methods since they were developed in the 80s. In addition to analytical

methods, experimental testing at a number of different facilities has confirmed the

behavior expected from 3D panels. The construction processes used with 3D panels have

also been outlined according to various industry guidelines. A summary of the

qualifications met by the panels is presented in a report from the National Evaluation

Services (NER-454). The report verifies manufacturer claims based on submitted test

evidence and analysis. This report is provided in appendix B. Briefly, the panels have

been proven to be effective for both residential and commercial construction and when

constructed properly, conform to all relevant codes. In practice, the manufacturer

provides a lot of documentation and assistance to builders submitting proposals to local

building departments because the product is new.

38

Page 39: Design and Analysis of a Concrete Modular Housing System

4.0 Proposed Modular House Design Using 3D panelsA modular housing system designed to be constructed primarily with 3D panels is

presented in the following section. While most residential applications of 3D panels

integrate the panels with traditional methods and designs, the processes and details for

this new design were developed independently of such constraints. In order to produce a

design with maximum economy, it was assumed that a commercial application of the

design would be done in large enough numbers that a specialized dedicated labor force

could be trained in the relevant methods. It was also assumed that an additional

manufacturing facility would be possible in order to process relevant materials. This

process is a large deviation from present practice for concrete homebuilding systems but

could be viable under the right circumstances.

4.1 Form and ModularityThe basic structure of the design has a hexagonal footprint with a pitched roof

along two opposing vertices as shown in Figure 1. While this shape is a diversion from

the traditional square based design used in most houses, it has associated benefits that

will become apparent. 374 square foot hexagonal units are combined as desired in a

modular fashion as shown also in Figure 17.

Figure 17: Basic structure and modularity of proposed house design

The ability to freely scale a house with standard building units is beneficial when

it comes to construction economy and allows for many different floor plans. Each unit

may be used as one large room or may be subdivided if needed using basic non-structural

methods. A 5 unit floor plan is shown in figure 18. A 5 unit building has 1870 square feet

of floor area, 2640 square feet of wall area before windows and doors are inserted.

Figure 19 displays several hexagonal combinations.

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Figure 18: 5 unit house layout

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Figure 19: Different modular layouts for 3, 5, 7, 9, and 12 units

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4.2 Joints and Assembly Methods

Once a foundation is in place and before a floor slab has been poured, the vertical

walls are assembled. At corners, panels are cut at the appropriate angles as shown in

figure 20 such that the edge planes of the insulation cores bisect the joint angle. This

orientation eliminates concrete thermal shorts across the building envelop that exist in the

prescribed joints presented previously in figures 3 and 4. The exterior walls and roof

connections are all completed this way, often in compound configurations. Reinforcing

mesh strips bent appropriate angles cover the inside and outside of the joints. Notice also

in figure 20 how each panel is cut such that the wire mesh terminates with a longitudinal

wire on one side of the joint. With this orientation these wires may be clipped together to

form a hinge ensuring correct placement. In many of the panels this requirement means

an additional wire must be installed when the panels are being cut.

Figure 20: Joint proposed with continuous insulation

If a joint requires additional moment resistance, rebar reinforcement may be run

through the panels in order to help with moment resistance. This rebar would be installed

in a configuration similar to that previously presented in figure 4, but could also

theoretically be installed without as extensive removal of insulation.

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Figure 4: Details of a hip or ridge joint for 3D panels using reinforcing steelFrom ICS 3-D Panel Works Complete Typical Details

In standard form, the panels are distributed in 4 foot widths and various lengths.

For transportation and assembly purposes, panels are kept to lengths of 10 feet or less.

With the proposed system, the panels are cut into compound angle configurations that

require dedicated machinery when done precisely and efficiently at a large scale. Such

machinery would use abrasive cut off saws and be relatively simple. Accordingly, the

system lends itself to centralized manufacturing center for panel and mesh strip

production. The limited number of unique panels may then be shipped to the worksite

where they may be used with confidence of dimensional precision.

The fashion in which units are combined and panels are dimensioned requires

consideration. If the units combined in the exact form as they would stand alone in, each

inside wall would be double thickness and a continuous insulation envelope would not be

produced at the corners. This is the type of construction that would be needed in order to

use the minimum number of unique prefabricated panels. In additional to the inefficiency

involved with such a configuration, construction would be difficult if not impossible. The

two interior walls would share a continuous concrete face that could not be applied with

shotcrete and traditional pouring methods would be difficult and extraneous.

As a result these joints are designed to be continuous between the exterior walls

and roof but the interior walls are installed with a right angle edge that runs tangent to the

joint hinge such as shown in figure 21. Also shown in figure 21 is the joint between 3

interior walls. Because these walls do not need to be used for insulating purposes, it is

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acceptable to have insulation removed. A ventilation conduit is run at the intersection of

three interior walls and the remaining space is filled with concrete.

Figure 21: Interior wall joints in proposed design

However, this type of joint affects the modularity of the construction. A unique set of

panels are then needed for interior hexagonal halves and exterior hexagonal halves. The

number of unique panels needed for the walls and roof increases from 16 to 27 which is a

significant trade off but a necessary one.

As mentioned before, the panels may also be used for a foundation as well as a

floor. The panels may be cut and assembled for the foundation in a similar manner to that

of the walls. Concrete is placed on the foundation by either traditional shotcreting or by

poured methods depending on how much ground will be backfilled around the

foundation. If the whole foundation is exposed and 3 feet of ground will be backfilled

shotcrete could be used but more likely excavation for the foundation will be a trench and

poured methods must be used. A floor and foundation system would require 16 unique

panel configurations for complete modularity. Panels are sub-assembled into complete

wall or roof panels as shown in figure 22.

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Figure 22: Sub-assembled unique panels

4.3 Construction ProcessAfter the walls are assembled in full, openings for doors and windows are cut out

and frames installed. Rebar is installed as needed around the openings as well as

vertically along the tension side of walls that need it. The walls are braced and then

shotcreted. The rebound shotcrete around the perimeter may be buried in place and used

as backfill for the foundation, or removed. Rebound on the inside is used for backfill as

well. One of the advantages to dry mix shotcreting is that the concrete may be tapered

and installed intermittently without producing cold joints in the concrete. The top edges

of the panels may be irremovably covered during the shotcreting in order to leave a

portion exposed for attaching reinforcing mesh and rebar over the roof joints. Rebar

reinforcement for the roof joints will most likely be necessary as they will transmit

moments even under gravity loading and should be installed as described for a hip joint.

Alternately, the reinforcing mesh and rebar could be installed on the wall panels to

construct a channel for the roof panels. In this case, the wall could be shotcreted all the

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way up to the joint fixing the rebar and mesh in place which would increase the joint's

strength before the roof is shotcreted but may not be possible in practice. Either way, the

roof panels are subsequently installed and tied into the rebar and mesh once the walls

have cured for a while and gained most of their strength. Because the roof panels are

under bending loads, rebar may also be run along the roof line and attached to the joint

rebar and the wire mesh in the same way as for vertical walls needing reinforcement.

When shotcreting the roof, care must be given to support the span while the

concrete cures. A good method aims to maximize the load resisted by the panel during

the process, thereby reducing the external support needed. One approach could be to first

apply shotcrete to the inside and outside edges of the roof. This concrete would continue

that of the wall giving the joint its strength and constraining the ends of the rebar running

along the roof. If only applied near the edges, the concrete would not apply very high

gravity loads to the panels either. The weight of the concrete along the roof ridge edge

would provide the most loading and would most likely be the best spot to support the

roof. Once the edges have gained sufficient strength the top surface of the roof would be

filled in as the concrete can resist the loading from its weight in compression. Rebound

from this surface will either blow away or just fall onto the surface so use of a blow pipe

to remove the extra is desirable. Lastly, the inside surface of the roof is filled in with

shotcrete. The rebound falls to the floor ground is also used as backfill. It is desirable to

install a collar tie across the roof span half way up as well. This member would help

lower the panel loads by acting in tension across the interior of the span. The joints

between the collar tie and the roof panels do not transmit a moment and may be pin

joints. Hardware for the joint would be reinforcing steel that is inserted in and integrated

with the steel reinforcing structure before being shotcreted when the roof is filled in.

Similar hardware is also installed on the top of the roof panels before shotcreting to

support an optional standing seam roof described in a subsequent section.

If being applied in two layers, all of the shotcreting up to this point would be to

the depth of the structural layer such that a final layer could be put on over the whole

building once the structural layer has set all around. More likely however, is that the

concrete will be applied in one layer and then a finish layer of stucco will be installed

later. Regardless, after all shotcreting is done, the floor slab may be installed. An initial

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layer of self-leveling concrete is poured which will engage some form of reinforcement

sticking out of the foundation. The floor panels are then floated on this layer of concrete

by the insulation core. Utilities as described in a subsequent section are then installed to

the top wire mesh of the floor panel as well as the tubing for radiant heating. Once

everything is in place, a final layer of self leveling cement is poured to provide the final

floor. Once the floor has cured, the final stucco layer is applied and installation of the rest

of the components is completed

4.4 Utilities

In residential 3D panel construction, utilities and hardware are generally run

through the wall panels before shotcreting. This method is somewhat analogous to that

used in traditional home construction methods and is one of the features that allow 3D

panels to be integrated into conventional designs. However, installing electric and

plumbing lines in this way is relatively time consuming. The house system presented

seeks to eliminate a lot of this inefficiency and is designed in a modular format.

Generally, the systems that must be installed specifically are the high voltage electric

supply lines, low voltage communication lines, plumbing, and ventilation components.

Usually, 120 volt wire is run from a junction box to different portions of the

house. Many of the runs are consistently powered while switches are integrated into some

that are used for lighting systems. While most traditional lighting uses 120 volt fixtures,

lower voltage 12 volt systems exist as well that offer more design flexibility because

contacts may be exposed without danger of electric shock. Much lower voltage systems

are also used to distribute video, telephone, and data throughout the house. These utilities

must all be available in every portion of the house for domestic purposes and high

voltage must be available for various support components such as water heaters and

appliances. An important consideration when designing electrical components is

reliability and safety as well as losses. In general, supplying a given amount of power

with constant loss in the wires requires more conducting cross section for lower voltages

than high voltages. Accordingly, electricity is distributed to houses using high voltages

that are dropped down to the safer 120 volt levels. This correlation is also why lower

voltages aren't used in the house wiring.

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In most houses, pipes are run to each location carrying hot and cold water.

Additionally, a drain line returns the water. A reservoir hot water heater takes the cold

water feed and generates a supply of hot water while the cold water is directly run

throughout the house. The hot water may be used for heating purposes as well as for

general domestic use. Also, ventilation systems are used to facilitate air flow through the

house and often also include air conditioning systems to supply cold air.

The simple form of the proposed design eliminates complicated multilevel utility

installation and also eliminates the need for complex air ducting systems. The specific

design borrows from methods used in commercial concrete construction where conduits

to carry electricity and water are run in the concrete floor slab. In context of the

construction process, this design allows for utilities to be installed right before the final

floor is poured without having to run much through the walls. The lines run around the

periphery of each hexagonal unit within plastic conduits and are terminated in the 120

degree corners. At each corner a removable face plate is used to install useable outlets.

Figure 23 shows an example corner with both low voltage and high voltage conduits.

Figure 23: Electrical conduits and face plate in corners

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At some face plates, the 120 volt lines are also used to supply a lighting system. The

lighting is designed to be a 12 volt modular one that runs around each hexagon in the

vaulted roof space. A transformer must be used to create 12 volts for each zone and

newly available wireless switches may be placed as needed to control different zones.

Essentially two wires are suspended adjacent to each other and different lights may be

hung from the wires at will.

Lines are run from a central supply point through the floor to each hexagonal unit.

The incoming electricity is distributed to each unit in 240 volt form. It is transformed to

120 volts at the distribution point and then run around each unit. An individual set of

wires is run for each corner so each conduit will carry up to 6 sets of wires. The

communication lines may also be distributed in this manner but a system must be

designed in order to correctly integrate them without interference. Another option that is

becoming more plausible as technology develops is the option for totally wireless data

communication throughout a house. Figure 24 shows the electric lines being run

throughout the units.

Figure 24: Electric distribution

The plumbing system is slightly different from the electrical in the sense that

water is not needed in every portion of the final house. While water supply and drain

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pipes must be available where sinks, bathrooms, and kitchen appliances require, the

actual placement is not universal and depends on the actual floor plan used. Another

component that is required for plumbing is a ventilation pipe for drain traps. A ventilation

pipe is needed to avoid backflow of smell and debris through a drain and is installed

generally at sink level. This conduit is the one component that requires running through

the walls and may not be sent through the slab. All sinks are placed along inside walls

and a horizontal ventilation conduit runs along each, feeding into the previously

discussed vertical conduit running through the middle joint between 3 walls. Figure 25

shows details of a conduit being run through 3D panels.

<. /x. ? ~y~x~.x/x~. 5~>., <M :~ J ['¥,'.<y,).';~'.~v ., ......Figure 25: Details for running a ventilation conduit through 3D panels

From ICS 3-D Panel Works Complete Typical Details

Hot water is produced with new tankless water heaters. These heaters are heat

exchangers that provide hot water on demand with no supply tank. Manufacturing

developments have recently enabled the efficient use of such heaters. In the proposed

design a small heater is dedicated to every set of appliances that require water such as

sinks and baths in a bathroom, and sinks and dish washer in a kitchen. The hot water for

the radiant heat floors is also supplied with a tankless water heater. A pump and heater is

dedicated to every set of 3 units and does not require constant supply and drain pipes but

does require provisions for flushing. Figure 26 shows the 5 unit house plan with radiant

heat floor tubes.

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Figure 26: The 5 unit house indicating radiant heat flooring configuration

Ventilation components are especially required for this system because the

building envelope is essentially air tight and does not utilize natural ventilation like that

in traditional houses. A simple fan is used to exchange old air with fresh at an appropriate

rate. Fans for this purpose have been developed to the point where they may exchange air

while transferring moisture and heat between the incoming and outgoing streams. These

provide excellent energy efficiency for the final house and may be installed simply in a

wall much like a window is.

4.5 Roof

In present form the roof of these structures is the same as the exterior wall finish.

While this form is the most economical and may be used in some situations, an additional

roof structure would improve aesthetics, improve performance, and limit wear. A

standing seam metal roof has been designed in conjunction with the proposed house

system. In this design, hardware is installed in the top layer of roof concrete as described

previously. Specifically, rebar sections protrude normal to the surface to which metal

beams are run horizontally around the roof at different points along the pitch line. Sheet

metal sections are combined and attached to this support frame to give a continuous roof.

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The seams between sections are created onsite using special equipment and integrate the

seam and support structure. The sheet metal material may be any roofing material and is

cut from rectangular sections. The identical pieces are combined around the roof to give a

final form as shown in figure 27.

Figure 27: Assembled roof

In addition to providing good looks and weather protection, the roof also

improves thermodynamic performance of the building. Not indicated in figure 27 is a

raised baffled ridge cap along the roof for ventilation as well as an opening for the

ventilation tube at the intersection of 3 interior walls. A 4 inch channel exists between the

concrete and metal surfaces and is open on the bottom and top to ventilation driven by

natural convection. Functionally, this layer of air acts as insulation between the roof and

structure. During a summer day, solar heat is radiated from the sun to the roof plane.

Without a standing roof, this heat is directly applied to the building envelope and

contributes to heating the house which is undesirable during the summer. However, when

the roof is in place, the heat is applied to the sheet metal where it may accumulate in the

form of a temperature rise of the material. The channel of air serves to

thermodynamically disconnect the roof and building such that most of the heat does not

reach the building. While some heat is conducted through the support rebar, the cross

section is very small and does not contribute much. Some convection and radiant heat

transfer does occur between the roof and building but at a significantly decreased rate.

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Further, natural convective currents through the channel carry away the heat that does

accumulate in the roof material. These thermodynamic effects also operate desirably in

reverse when the roof insulates a building from losing heat to the environment on a cold

day.

The roof is also used to manage water drainage from the roof. The final roof

drains rain water to several nodes. An integrated gutter component is also installed on the

roof around the bottom periphery in order to drain the water at specific points. The water

may be gathered and used as is often done in some areas, or simply drained to the ground.

The gutter assembly is shown in figure 28.

Figure 28: Gutter and roof assembly

The house design just presented has many benefits as outlined. In light of the high

costs associated with 3D panels residential construction, the design aims to reduce the

labor and resource requirements involved with the process. In order to achieve maximum

economy, the houses should be built in large enough numbers that it is cost effective to

produce the components at a centralized location. Also, as stated before, maximum

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efficiency would require a crew experienced in the system. In addition to traditional

residential markets, applications for the design could range from refuges housing to

tropical island construction. The low weight of the manufactured parts and the universal

availability of concrete make the design ideal for remote locations where heavy

machinery is not available. The reduction in extraneous labor and materials would

potentially reduce the construction costs to a point much lower than that reported by

builders. Without more experience building such houses, final cost projections are

difficult but first order analyses conservatively based on the costs reporting in Concrete

Homebuilding Systems suggests that the structural envelope and foundation may be built

for less than $10,000 per unit. While the final cost will also depend significantly on the

other components, this method of assembling an attractive structure is feasible from a

cost perspective.

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5.0 Structural analysisA review of the buildings constructed with 3D panels gives a good sense of the

versatility and strength the panels offer. However, a formal verification of the feasibility

of the proposed design requires an analysis of the structural performance. Such an

analysis is presented in this section which covers both the strength of the panels as well

as the loading that occurs in the design. The analysis is performed according to methods

set forth in applicable codes. Methods for determining strength are presented first

followed by an evaluation of the structural form and associated loads.

5.1 Panel StrengthTests carried out in 1985 at Graz technical Institute in Graz, Austria and in 1990

at a manufacturing facility in Brunswick Georgia, verified that the panels may be

considered according to methods put forth in American Concrete Institute's Building

Code Requirementsfor Reinforced Concrete (ACI 318). The corresponding analyses are

presented in this section as taken from a structural engineering handbook prepared by

The Consulting Engineers Group, Inc. of Mt. Prospect Illinois in February 1991.

The following equations and analyses refer to panel dimensions as referenced in

figure 29.

1-- ~~~~~~~ o85 :

L"''' I X Lih

Figure 29: Dimensions used for structural analysis of 3D panels

55

.11.:�-

Y

I

----r-,F-317 4

Z

Ik ,, , &� ly-qc 1-1,11 N , � -- - -a

F--1

Page 56: Design and Analysis of a Concrete Modular Housing System

The part (a) of the figure shows the geometry of a panel cross section and part (b) shows

the load distribution when the panel withstands a moment. The moment resistance is

found as expressed in equation 2.

Mu < M n = .9As fy (d - a /2) (Equation 2)

Asfya= A _ <tc0.85f'c b

As is the cross sectional area of the steel reinforcing wires that runs on the tension side

along the bending axis andfy is the corresponding steel yield strength. The top layer of

concrete acts in compression as indicated by a which is the representative area of

compression. The presented equations are in simplified form and are based upon ACI

methods detailed in publications on reinforced concrete. (D is used as a strength

coefficient to normalize the equation based on statistical deviations. Resistance to shear

stresses in the panel from a bending situation is expressed in equation 3, and is less than

analytical methods suggest but is based upon test results.

Vuflexure < 4(Vn fiexure = 0.85bd(O.5 f c (3)

When evaluating deflection of panels in flexure traditional methods based on

moment area may be used but because the panel does not have behave as a fully

composite section, must be modified by dividing the gross moment area conservatively

by 5. The gross moment area, Ig, is expressed in equation 4 as is the effective moment

area.

btcy 2

Ig = Y Ie =Ig /5 (4)2

When a reinforced concrete member is stressed both axially and flexurally, the

stresses do not superpose additively. For bending, a panel is assume to act differentially

across its cross section to resist a moment while in compression the member is assumed

to act uniformly across its cross section. In reinforced concrete structures the joint

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between reinforcing steel and concrete is assumed to be rigid. As a result, the strain

compatibility must be considered on order to calculate stresses when both compression

and bending exist. The result often times is that the flexural strength increases to a point

as axial load increases. An interaction curve showing these effects for a standard 3D

panel configuration is shown in figure 30.

: . 4 I I

:~~~~~~~~~~~~~~~~~~~~ II -- - - -- --- -- - -- - - - -- - -- - - - -L -

stress states, , . 4 .2 o Region A G4 .

Balanced lowable path

> 5 > Z f A.- .4- - _4-~~~~~~~~;I~ M

s~~~~t -> .jIill fil in flexre ... * ... ~ ....... __ iX_ ___ .......... ......- ~..' | ~

'i'4~~~~~) ~~I t ,4

D Irtrc Lio.n curetari4Fd uICS -r) 'Wal Prel

F o cuv fr s d 3D pael pr foksoi

Figure 30: Interaction curve for standard 3D panel per foot depth

The curve relates the axial and bending strength to each other. The curve encloses an area

A which represents all acceptable load states. Stress states outside of this area above line

BC will fail in the compression mode while those below CD will fail in bending. At point

C both will fail. When designing reinforced concrete members, it is best for them to reach

balanced failure which would occur along the load path between the origin and point C.

For compression and bending on a member which is significantly longer in axial

direction than it is wide, slenderness effects must be considered. The effects take into

consideration the possibility of applying the compressive load at some distance away

from the neutral axis known as the eccentricity e. This eccentricity will induce additional

moments in the member and is affected by construction methods as well as other factors.

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Provisions for this occurrence exist in the ACI code which uses a moment magnification

procedure to account for it. The ACI code also presents the methodology for determining

deformation under combined bending and compression.

3D panels also resist shear forces normal to the surface resulting from lateral

loads. In this case, both the steel and concrete shear strengths contribute to the resistance

as presented in equation 5.

Vu-inplane D Vn-inplane = 0.85(V c + Vu ) (5)

V = 2Jf'c hd d= .81w

Vc is the contribution of the concrete and Vs is the contribution of the reinforcement. lw is

the distance along which the shear load is applied.

These equations are used later in the report in order to calculate the strengths of

different panel configurations and evaluate different designs. It is also notable that these

equations are for just the panel and concrete; additional reinforcement would increase the

strength of the panels.

Table 9 shows the calculated moment and in plane shear limits for various

configurations of the panels. While these values are determined without reinforcement

they give a good basis from which to evaluate the loading situations.

Table 9. Strength per foot depth for different configurations of 3D panels

Mu VuConfigurationConfiguration (ft-lbs) (lbs)........................................................................................ .................................................................................................................. ............ ... ...............

Minimum panel 1025 8731............... ..................... ...................................... ............................ ........... ........................ ............ ..................

No. 14 gauge panel 532 5304:..............................................................................................................................................................., .............................................. ..............................................

Standard panel 1302 8731............................................................................................................................................................... ........... .. ................................ .............I..............................

Maximum panel 1475 9139

Two-hour panel 1371 9547

4 inch core w=7 1718 8731...................................................................................................................................... ..................................... ..............................................

4 inch core w=8 1787 9547.......................................................................................................................................... .................................................................... .........................

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5.2 Static Analysis

A variety of methods are available for modeling the stress and deformation state

of a structure under a particular loading scenario. Most are based fundamentally upon a

set of differential equations developed from classical mechanics combined with a set of

constitutive equations regarding the known behavior of materials. Analyses by manual

manipulation of the equations require many idealizations of the evaluated structure and

are appropriate for simple structures. However, as the structure being evaluated becomes

more complex, the degree of complexity in the equations increases to relatively levels

manageable by hand. Advances in computing, however, have developed software to

simulate the behavior of a structure. This practice is known as the finite element method

in which a structure is broken into many differentially sized pieces for which the

equations of mechanics and materials are applied. While this process has become much

simpler and widely available in recent years, its use in residential small scale construction

is not very extensive.

The method used in the following analysis of the proposed house design is based

on equilibrium equations in 2 dimensions. The simulation is run by dedicated software

but at its level of complexity, an equivalent algorithm used could be easily developed by

hand. Specifically, an evaluation version of GID V7.1-R2 from Compassis as available at

www.compassis.com was used on a desktop computer. The output of such a 2

dimensional analysis is a prediction of the stress state along the member outline of the

structure in the plane being analyzed. Constraints and conditions regarding the specific

structure may be utilized to develop a model that will predict the behavior of the actual

structure to the best extent possible using.

The proposed house design is different from many traditional structures in that its

strength is provided monolithically by all of the structure rather than a base frame that

exists in most buildings. Also, the members in the design are often under a combination

of load conditions in different dimensions. However, a substantial amount may be learned

from a 2 dimensional analysis.

A model is built upon the cross section of a hexagonal unit normal to the roof

ridge. This cross section is constant along a full 12 foot exterior wall as indicated in

figure 31. Outside of the section the geometry is different.

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Figure 31: Continuous gable cross section used for 2 dimensional static analyses

This cross section is known architecturally as a gable frame. The analysis using this

section will assume the roof span is only supported by the walls and will thereby

overestimate the actual stresses which must be considered but is good for establishing an

upper bound limit.

Determinacy in a structure relates to the degrees of freedom present in the

structure and its connections. For a determinant structure, the connections and geometry

are such that the governing system of equations converges upon one solution. An under-

determinant structure is one that is not stable and may be in equilibrium in more than one

configuration. Conversely, an over-determinant structure is one that is stable but does not

have a single stress distribution. In cases of over-determinacy, additional constraint

equations are developed based on material behavior such as matching displacements of

joints according to relative stiffnesses.

Many buildings are designed to be determinant and different construction joints

are used to make them such. A gable frame is determinant when the walls are simply

supported and the center ridge joint is a pin. In this configuration, neither the ground nor

the other half transmits any moment to a frame half. In the house design, every joint,

including that between the foundation and walls and that along the roof ridge are capable

of transmitting a moment because of the inherent continuity of the joints. However, it is

very undesirable to transmit a moment through a foundation so the joint will be

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considered simply supported. It is very important though to consider the model in context

of the idealizations made.

Figure 32 shows the predictions resulting from a model where all the roof joints

are rigid under gravity loading. Often times this cross section is referred to as a 2 hinge

gable referring to the simply supported walls. The model is considered to be a foot deep,

for the largest panel configuration, and is over constrained but the moment distribution is

found by comparing the relative stiffnesses of the roof and wall portions as just

mentioned.

Each force distribution diagrams indicates the relative magnitude and direction of

either the moment, shear force, or axial force along each member in the structure.

Because torque is a vector cross product, moments at joints will sum to zero. However,

because the coordinate systems for different beams are at different angles vector based

forces like shear and axial may not be summed in this manner.

Mn = 596 ft-lbsMin = -1152 ft-lbs

Figure 32: Force distribution per foot depth under gravity loading for 2 hinge gable

frame of 3D panels in 8 inch thick configuration

At the joint between the wall and roof the moment is maximum and is 1152 ft-lbs

for the one foot depth. Here the shear is larger in the roof member at 349 lbs and the axial

force is greater in the wall section at 484 lbs. Also, the moment at the roof ridge is 596 ft-

lbs. These values are all below the moment limit of 1787 ft-lbs and the shear limit of

9547 lbs.

Alternately, the force distribution may be considered for the case where the roof

ridge transmits no moment, often referred to as a 3 hinge gable as shown in figure 31.

61

Vmax = 349 lbsVmin = -349 lbs

Pn = -804 lbs

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Page 62: Design and Analysis of a Concrete Modular Housing System

Mmin = -1451 ft-lbsMax = 116 ft-lbs

VnMax = 330 lbsVmin = -330 bs

Figure 33: Force distribution per foot depth under gravity loading for 3 hinge gable

frame of deep 3D panels in 8 inch thick configuration

In this case, the moment at the wall and roof joint is 1451 ft-lbs corresponding to a shear

force of 330 lbs in the roof panel and an axial force of 484 lbs in the wall.

As mentioned before, a collar tie may be installed across the roof span in order to

reduce member loads. This tie acts axially in tension and provides not moment transfer at

its joints. The final model used is that for a 2 hinge gable with a steel collar tie with 1

square inch of cross sectional area per foot; figure 34 shows the stress state under gravity

loading for this configuration.

I Moment Shear I Axial I

Max = 728 ft-lbsMmin = -856 ft-lbs

Vmax = 367 lbsVmin = -367 lbs

Figure 34: Force distribution per foot depth under gravity loading for 2 hinge gable

frame of 3D panels in 8 inch thick configuration with a steel collar tie across the span

Here the moment at the corner is 856 ft lbs with a shear in the roof of 367 lbs and an axial

force of 484 in the wall. The moment at the roof ridge is 520 lbs where a shear force of

311 lbs and axial force of 545 lbs also exist in each roof panel. The tie rod supports an

62

Pma = 730 lbsPcoIiar = -521 lbs

INESP-IF,

I Moment I

Page 63: Design and Analysis of a Concrete Modular Housing System

axial tensile load of 521 lbs. Table 10 compares the three different distributions as well

as the allowable stresses of the largest panel configuration.

Table 10. Comparison of force distribution for different frame arrangementsMoment Moment Field moment Shear force Max. shear

at corner at ridge maximum in walls force in roof

(ft-lbs) (lbs) (ft-lbs) (lbs) (lbs)

2 Hinge Gable 1152 596 n/a 144 349

3 Hinge Gable 1451 0 n/a 181 330

2 Hinge Tie Rod 856 520 728 108 367

Allowable 1787 1787 1787 9547 9547

Installing the tie rod decreases the moment at the roof joint by more than 25 percent and

the shear force in the walls by 41 percent. The maximum shear force in the roof is

increase slightly but the amount is insignificant relative to the final strength.

Using the tie rod design, the model must be evaluated for worst case scenario

loading. The amount of loading to consider is determined by relevant codes in the form of

maximum wind load, seismic load, and maximum uneven snow load.

The snow load a building must resist is depends on it location. An upper bound

snow load is 40 pounds per square foot which is applied to one half of the roof span. The

resulting force distribution is shown in figure 35.

Moment | I Shear I Axial

Max = 1319 ft-lbsMmin = -1227 ft-lbs

Vnmx = 617 lbsVln = -538 lbs

Pmax = 747 lbsPcollar= -1119 lbs

Figure 35: Force distribution per foot depth under combined gravity and 40psf uneven

snow loading for 2 hinge gable frame with collar tie

63

I

Page 64: Design and Analysis of a Concrete Modular Housing System

While the forces are still all less than the panel strength, the moments are very close and

deflection would most certainly be a concern.

Seismic loading is determined by the equivalent static lateral force method. Here

a lateral force dependent on structure dead load and seismic vulnerability is applied to

one side of the frame. Even at an upper bound, however, the seismic forces are

insignificant compared to other loading modes.

Wind loads are applied according to the normal force method for rigid gabled

frames. A uniform pressure load acts positively normal to one wall and roof span and

negatively on the opposing span and wall. A single story building 15ft above ground

sustaining an 80 mile per hour wind, would require a 23 pound per square foot uniform

load. Figure 36 shows the resulting force distribution. Here the moments exceed the

strength of a panel without reinforcement. Figure 37 shows the force distribution under

worst-case combined wind and snow loading.

Mmx = 2069 ft-lbsMnn = -2696 ft-lbs

Vniax = 429 bsVmin = -603 bs

PMna = 521 bsPcoiiar = -898 lbs

Figure 36: Force distribution per foot depth under combined gravity and 23psf wind

loading for 2 hinge gable frame with collar tie

I Axial I

Mma = 2660 ft-lbsM .n = -3067 ft-lbs

Vmax = 604 bsVmin = -829 bs

Pmax = 747 bsPcollar = -1120 bs

Figure 37: Force distribution per

loading, and 23psf wind

foot depth under combined gravity, uneven 40psf snow

loading for 2 hinge gable frame with collar tie

64

I Shear �

Page 65: Design and Analysis of a Concrete Modular Housing System

5.3 Design Feasibility

In the worst case snow and wind loading case, the moments exceed strength of a

panel without reinforcement as well. At the corners where a maximum of 3253 foot

pounds exist, enough reinforcement to increase the strength above that encountered is

sufficient. However for the moment in the roof, deflection becomes a concern over

strength. The reinforcement needed is calculated in reverse from the manufacturer's

simple span load tables which are based upon a deflection limit of less than 1/180 of the

concrete layer thickness. The maximum field moment occurs in the center of the roof

span and the distribution is similar to that of a simply supported uniformly loaded beam.

The maximum moment in the roof, 2660 foot pounds would occur in a simply supported

member of the same length under uniform load of 107 pounds per square foot. The load

tables suggest that a 12 foot span may support 127 pounds per square foot uniform load

when an 8 inch thick panel is reinforced with number 4 rebar at 16 inch spacing. Also,

number 4 rebar spaced at 12 inches would support a uniform load of 168 pounds per

square foot and at 8 inch spacing, 199 pounds per square foot.

65

Page 66: Design and Analysis of a Concrete Modular Housing System

6.0 Conclusion

It has been shown that the house system proposed could feasibly be built. Also,

the innovative modularity and methods of running utilities would cut the high

construction costs associated with 3D panels presently. The factors referenced most often

when discussing cost inefficiency of the panels is on-site material cutting and running

utilities. Costs associated with shotcreting are highly dependent on streamlined

operations that are hard to improve on when each project is unique. The proposed design

in high volume production eliminates these price factors in large part.

However, integrated concrete house systems such as this one are generally

nonexistent in commercial residential markets. Concrete building systems are instead

developed as products that may be used with existing construction processes involving

architects and contractors building one or two houses at a time. It is often suggested that

this is because in most residential markets consumers highly value the ability to

customize their house and integrated systems are too restrictive.

Accordingly, the proposed design strikes a compromise between the efficiency

available with integrated systems and traditional methods. In addition to being able to

freely size a building, a variety of floor plans may be used with the simple restriction of

plumbing along inside walls. Also, window and door openings are done on site and may

be customized by the consumer. Further, the process may be amended as necessary with

other features as the monolithic character of shotcrete allows for their easy integration.

While the form of the house is set and may not appeal to some mainstream demographics,

there are limited, if any, architectural oppositions to the design as a residential living

space.

Ultimately, the commercial success of the design will depend largely upon the

cost savings possible. Without competitive costs, the market for the houses will be

restricted to consumers valuing the performance benefits of concrete systems. These

consumers will most likely also pay extra to build a house designed to their tastes. If

however, the houses may be built to provide associated performance benefits at a

competitive cost, a larger market will result. Complicating the matter is that the

66

Page 67: Design and Analysis of a Concrete Modular Housing System

relationship between market size and house cost is an interactive one, with cost savings

depending on higher volume production.

Consequently, a commercial launch of the design will require extensive process

streamlining and reliable market analysis. In the evolving market, the potential of the

design may be resisted initially, but careful marketing and development of the system

could have a large effect on present notions. A natural next step is to build a house to

learn more about the process and the nuances involved.

67

Page 68: Design and Analysis of a Concrete Modular Housing System

Resources Consulted

3D Panels

ICS 3-D Panel Works, Inc. 2610 Sidney Lanier Drive, Brunswick, GA 31525.

http://www.3-dpanelworks.com

Complete Typical Details

Hadrian Tridi-Systems.

http://www.tridipanel.com

Martin, L.D. (1992). Structural Engineering Handbook: Structural Analysis of ICS 3-D

Wall Panels. Mt. Prospect, IL, The Consulting Engineers Group.

Vanderwerf, P., Munsell, W.K. (1994). The Portland Cement Association's Guide to

Concrete Homebuilding Systems. New York, NY, McGraw-Hill.

General

ACI Committee 340 (1991). ACI Design Handbook in Accordance with the Strength

Design Method of ACI 318-89, Publication SP-17(91). Detroit, MI, ACI.

American Society of Civil Engineers (1995). Standard Practice for Shotcrete. New York,

NY, ASCE Press.

Colton, K.W. (2003). Housing in the Twenty-First Century: Achieving Common Ground.

Cambridge, MA, Harvard University Press.

Economics Group of the National Association of Home Builders (2001). What 21st

Century Home Buyers Want: A Survey of Customer Preferences. Washington, D.C.,

Home Builder Press.

Housner, G.W., Chung, R.M. (1997). Natural Disaster Reduction. New York, NY, ASCE

Press.

International Code Council (2000). International Residential Code for One- and Two-

Family Dwellings. Falls Church, VA, ICC.

68

Page 69: Design and Analysis of a Concrete Modular Housing System

Kotsovos, M.D., Pavlovic, M.N. (1999). Ultimate Limit-State Design of Concrete

Structures: A New Approach. Reston, VA, Thomas Telford.

Love. T.W. (2001). Construction Manual: Concrete and Formwork. Carlsbad, CA,

Craftsman Book Company.

Marshall, R.D., Mehta, K.C. (1997). Guide to the Use of the Wind Load Provisions of

ASCE 7-95. Reston, VA, ASCE Press.

Miles et al. (2003). Real Estate Development: Principles and Process. Washington, D.C.,

Urban Land Institute.

NAHB Research Center (2003). The Practice of Low Impact Development. Washington,

D.C., U.S. Department of Housing and Urban Development Office of Policy

Development and Research.

NAHB Research Center (2002). Durability by Design: A guide for Residential Buildersand Designers. Washington, D.C., U.S. Department of Housing and Urban Development.

Nilson et al. (2004). Design of Concrete Structures: 13th Edition. Boston, MA,

McGraw-Hill.

Sarja, A. (2002). Integrated Life Cycle Design of Structures. New York, NY, Spon Press.

Schueller, W. (1995). The Design of Building Structures. Upper Saddle river, NJ,Prentice Hall.

Schwartz, M. (2000). Basic Concrete Engineering for Builders. Carlsbad, CA, Craftsman

Book Company.

Smith, C. (2002). Warranty Service for Home Builders. Washington, D.C., BuilderBooks

NAHB.

69

Page 70: Design and Analysis of a Concrete Modular Housing System

Appendices

Appendix A: Simple span load tables from ICS 3-D Panel Works

1>I'#i1Wf, IttG~I·, CCO R~SU DNLAYM

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INSTEEL 3-D ROOF PANELLOAD TABLES

SIMPLE SPAN - UNIFORM LOADRebar - 60,000 psiShoterete - f'c = 4,000 psl

t

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3 DEFLECT.'I FCA ROOF SLAB I LIWITED TO t 1I4 DEFLECTI3 CALDCLAT TS I-IA'S EEEH BASED ON A L'E LC TO DEAD LOAD RAIO OF a r,s IT SHLL BE THE RESEOSIBILITY OF THE DE"SIGNER ro DETERMINE THE APFIKfRIATENESS

OF THIE TABLE %MTH REF'T TO ACTUAL LOADS AND LAD COMEINATIONE6 IT HALL BE THE REEMBNSOLITY OF THE CONTRCTOR 1 DESGN AND INGTALL

ADEQUATE WRItN AND E;ACM3. UNTIL CONC/ETE ATTAINS DEI4 STREFGTH

3-0 PAIL OONIGURATIONLAYER T}4CKPS ito1

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Page 71: Design and Analysis of a Concrete Modular Housing System

0 PANEL CONFIIGURATIONLAYER TNI'MK#! It41

COW INSULATION TOl

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123111l101 83 01 43285 239 152 139 lt07 82 2 415 32 2z2

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t 3-0 PAIEL CONFIGUMATION ADDOITOIALMl, LAVER THiCKNEIn) R!NFORCMG ALLOWAI UNIfAM LOAD 'I*

COP. INSULATION -TE iAR$IZE i PA0M AN SUILtOI oNO j1(01.) Wio In, I 910I11 12 13 14115 16 ITIN 19 2G

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Page 73: Design and Analysis of a Concrete Modular Housing System

Appendix B: National Evaluation Report NER-454

A National Evaluation Service, Inc.Paticipating Members: SCCI Public Safety

SBCCI Pubic ~lflBOCA Evaluation Services, Inc. ICBO Evaluation Sevice, Inc. Teting and Evalution Srces, Inc,

4061 Wet Plmainr Road SS Wn mUII Rood M900tir Rood, Sulab AC4e*yC hbH , 1i160471- Whlw, CaNsmkOBt4 1-2209 m Am esr 36213.1206

NATIONAL EVALUATION REPORT Report No. NER-46401=1sUNMA daom~n~ eissued Jarnt 1. 1998

IC$S 3-0D WALL PANELS

ICS 3-0 PANEL WORK INC.2610 SIDNEY LANIER DRIVEBRUNSWICK, GEOR1IA 31525

Uistees:

Panel Mex SA. de CV.Carretera a San Felipe733 Delegacion Cerro Prieto CP21900Mexiali, BC., Mexico

1.0 SUBJECT

ICS 30- Wall Panels,

2.0 PROPERTIES FOR WHICH EVALUATION IS SOUGHT

2.1 Structural Performance

22 Fire Performance

3.0 DESCRIPTION

3.1 GENERAL

The ICS 3-0" Wall Panels are used in the constructio ofexterkor and interior bearing and nonload bearing walls ofbuildins of all types of consttruction.

The ICS 3-' Wall Panel onsists of a welded-wire spaceframe integrated with a polystyrene insulation core. The wallpanel is placed in position and wythes of concrete are appliedto both sides. See Figure 1.

The ICS 3-D' Wall Panel receives its strength and rigidity bythe diagonal cross wires welded to the welded-wire fabric oneach side. This produces a truss behavior which providesrigidity and shear transfer for f ult comrnposite behavior.

The insulation core is Type I polystyrene foam (complying withASTM C578) having a nominal density of 1.0 pounds per cubicfoot (16.02 kgm3) as manufactured by the CarpenterInsulation Cornpany, Cellofoam North America Inc., or RoyalFoam Ente ses The insulation demonstrated flame-spreadindex of 2 of less and a smoke-deveoped rating of 450 orless when tested in accordance with ASTM E84. When testedin accordance with NFIPA 259, the insulations demonstrateda potential heat of 000 Btulsq. ft. (8.1 MJ/m2 ) or less

The reinforcement module (RFIM) is shop fabrcated withautomated equipment. The welded-wire fabric conforms toASTM A18 The diagonal cross wires as well as wire used nthe fabrication of the welded-Mwire fabric conform to ASTMA82 F different configuretions of RIM re menufactured, asshown in Figures 2,3,4,5 and at the end of this report.Notation used in the figur of this report is as defined by ACI318-95 unless otlherwise noted.

Figure 2 shows the standard panel, which has 21 i-inches(63.5 mm) of insulation and a RIM thickness of 4inches(101.6 mm). With 1 12-inch (38.1 ram) concrete wytes, theoverall wall thiakness ia 51/2 IncheS (139.7 mmnl.

For walls which require less insulation or structural capacity,the 'Minimum 3-D' section of Figure 3 is available.

For cases where greater strength and bearing capacity arerequired, the configurations shown in Figures 4 and 5 areavailable.

For cases where lesser strength and bearing capacity aerequired, the configuration shown in Figure 6 Is available.

3.2 FIRE PERFORMANCE

Based on fire-resistance calculations, the ICS 3"- Wall Panelshave the following fire-resistarnce ratings ratings are valid forfire exposure from either side):

Stanard panel (Figure 2)Minimum panel (Figure 3)Maximum panel (Figure 4)Two-hour ated panel (Figure )No 14 gauge panel Figur 6)

CarbonateAWat1 1 2 Hours

1 1/2 Hours1 3/4 Hours2 Hours

1 1/2 Hours

AgSetsAgegt1 Hour1 Hour

1 112 Hours2 Hours1 Hour

When the panels were tested in accordance with ASTM E 108modified, there was no flame propagation over the exteriorface of the panel outside the area of direct flame contact.Interior flame propagation did not occur in any direction. TheICS 3-D' Wall Panels are considered noncomnbustibleconstruction provided all portions of the foam plastic aecovered by minimum 1 inch 125.4 mm) of concrete.

TAst report iz lb~ia~! w d prodat a a md test mpors mnbiued by s anlic t fI appUcwto re~*n/ 04i reqf;l N pot. Ab i dnt.ere l ay #d N, iulfom vla~ 8 e lc, Inc. SM) a NES p.cd¢iely does no, ~e any wra.y, cidwr c &r 1v as

ro y j .r ader n~r Stla r arrpor or to y pdwt covwredl b ds rporr 7t Za. r d ~ch, bw is ot /bdI t, tvhial&y.~ni report J iso ~ J 3ect :o tlk tnfson Uned Ia.

Pl f

73

--

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P055 2$5 Report No. N5R454~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3.3 TRUCTrURAL

3.3.1 Fisrdg Srength: The flexural strength of the CS 3-DI Wall Panels shown in Figures 2 through 6 ornooad-bearing exterior wall applications, subject towind or earthquake loads, has been determined inaccordance with the provisions of AC) 318-95 and Isshown n Figure D-6.

33.2 Axf14Swl Strength: The axial4lexurud strength ofthe CS 3-D Wail Panels shown in Figures 2 through6 for loadbearing applications has been determined inaccordance with the provisions of ACI 318-95 and isshown by men of the interaction diaorar ofFigures D-1 through D-5, respectively.

33.3 Sher tbngt: Factored shear strength of the ICS 3-D0" Wall Panels shall be determined n accordancewith the following equation: ,

Wt- Vn 0 bd 10.5 Vf )'

Where:

* - 0.85b - width of compression ace, Inchesd = distance from extreme compression ftber to

centreid of longitudnal reinforcement, Inches

"iSA Dhlectiw, Deflecion of the ICS 340 Wall Panel shallbe determined in accordance with standard principlesof engineering mhanics auming the effectivemoment of inertia to be 1/s of the calculated grossmoment of inertia.

33.5 In-Plane Shea Strength: When the ICS 3-D WallPanels are used as shear wals to resist lateral oads.the walls shall be designed n accordance with ACI318-95, Section 1.1 0. The total thickness of thewal, h, shall be taken as the sum of the two wyte

3.36 Openi In Wal: Loads over wall openings shall becalculated nd the portion of the wall above theopening designed as a beam in accordance withreinforced concrete strength design principles and therequirements of ACI 318-95. Wall sections adjacentto such openings s1hall be designed to resist additionalloads due to the presence of the opening (such asreactions from the wal section above the opening,additional lateral loads due to wind on doors orwindows within the opening, etc).

4.0 ISTALLATION

4.1 GENERAL

Plans, specifications, and structural calculations shall besubmitted for each project showing particular job detailsrelating to design and construction. The calculations shell bebased on the loads nd oadino conriditions required by theapplicable code. The calculations hall demonstrate thatfactorad loads in the panels do not exceed design strengths ofthe panels noted in Section 3 for this report. Plans andcalculations shall be signed and sealed by a registered designprofessionaL Since this report only includes a listing for panelstrength, information concerning code conformance of otheraspects of the bulding design shall be submitted to theauthority having jurisdiction for approval.

Foundation wall, footing or other supporting structure toreceive ICS 3-D" Wall Panels shaMl be level and free of dirt andloose material Reinforcement for anchoring the panel to thesupport shall be as shown on drawings.

The IC$ 3-0- Wall Panels shall be placed in the final locationplumb and true in location and alignment shown on drawings.Panels shall be temporarily braced as required to resist windand the shotcrting operation. Embedded hardware andaccessories shown on drawings shaell be installed in properlocation and securely fastened by wires or other appropriatemeans

Concrete shall be applied to the outside and inside of the ICS3-D0 Wall Panel to thickness shown on drawings. The exteriorand Interior wythes sheall be portland cemernt concrete appliedby the shotcrete' process by either 'dry' or 'wet' rocess inaccardance with the provisioens of the Guide to Shoterete ACI56S-90) and the Specification for Shotcrete (ACI 506.2-951.Materials shall conform to Chapter 2 of those documents.Additionally, aggregate shall be 'Gradation No. 1,' Table 2.1of ACI $06R-90 and concrete compressive strength shall benot less than f - 2,600 psi (17.2 MPa) at 28 days.Shottrete aplication shall alW comply with the provisions ofthe appicable code (Section 1911 for the OC4 Nn4nt lSuiW Cod, Section 19156 for the Stadard Bu Code,and Section 1922 for the oifOnn Buong Ctode*).

In leu of applying concrete by the 'shotcrete' process, it ispermitted to pou the ICS 3-D wall panels between aluminum,steel, o wood forms and place concrete complying with theapplicable code from the top In a manner which meets therequirements of ACl 318-95, ACI 332R (Guide to ResidentialCast4n-Place Concrete Construction), and the applicble code.Concrete compressive strength shall not be less thn f'c 2500 (17.2 MPu) psi at 28 days. Concrete aggregate shallconform to ACI 318-95, Section 3.3. Poured wythes ofconcrete shall be no less than 2 inches (50.8 mm) thick.

Higlher strength concrete and/or air entrainment shall be used,as required by the applicable code, under certain exposureconditions. Special care shall be taken to assure completefilling of space between the insulation and welded-wire fabric.When applied by the shotcrete process, the concrete coverover the welded-wire fabric shall not be less than 34-inch 19.1mm) with a minus tolerance of Ia-inch 16.35 mm). In caseswhere the concrete is poured into forms, the concrete coverover the welded-wire fabric shall not be less than 1 4a-inchwith a minus tolerance of lflinch (6,35 mm).

The interior and exterior finishes shall be applied as shown onthe drawings and in accordance with the applicable code. Anevaluation of such finishes is beyond the scope of this report.

The manufacturer's published installation instructions,Publication 1-C dated May 1, 1997, plus the plans andspecifications shall be strictly adhered to and a copy of theseinstructions shall be available at all times on the jobsite duringinstallation.

4.2 Quality Control

Quality control and inspection of shotcrete shall be inaccordance with Section 16 of ACI 506.2-95, Section 6.4 andChapter 9 of ACI 506R-90, and provisions of the applicablecode (Section 1911 for the OC4 National Bilding Cde,Section 1915 for the Standard BuildWng Code, and Section1922 for the Uniform 8uilding Code). The results shall bemade available to the local authority aving urisdictionAllowable construction tolerances shall be as noted in theSpecificatrbs tfor Sructr Cocrete for & fngs (ACt 3011.

Additional quality control and inspection requirements forshotcrete, from those outlined above, shall be determined bythe design professional (subject to approval by the tbuildingofficial), taking into account the size and character of the

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Repan Us. N- 454 Pi9* a sit

eppicadtion, A higher degree of quality control and inspetion,the extent being determined by the design professional tsubectto approval by the building offiial, shall be administered onexterior bearing, exterior nonloadbeaing, and interior beaingwalls exceeding 12 feet (3.6 ml in height between lateralsupports Additionally, in areas where the 80ACA Natiralqff#kw Code and Aifrm Uufdhg Code have been adopted,quality control and inspection shall be administered as 'speclalinspection,' in accordance with the requirements andexceptions stated in code section 170.5,4 of the 004Nat/oda K CodWY9S96 and Section 1701.5.12 o theUdmm u//din Code.

Quality control and inspection of concrete placed usingformwvork shall be in accordance with the requirements of tJleapplicable code.

5.0 IDENTIFICATION

All packaging of ICS 3-0 Wall Panels covered by this reportshall contain the name and trademark of the manufacturet andthe number of this report for field ldentification.

The face or edge of the insulation on each ICS 3-04 Wall Panelshall bear he label of an pproved agency (UnderwritersLaboratories Inc., NER-OA403, for Carpenter insulation andRADCO, NER-CA204, for Cellofoam North America and RoyalFoam Enterprises insulations) stating the manufacturer's ordistributoe's identification, model number, the foam density,the ASTM E84 test result, and the NFIPA 259 test results.

6.0 EVIDENCE SUBMITTED

6.1 Manufacturer's brochure.

6.2 Manufacturer's specifications, typical details.

6.3 Manrufacturers installation instructions, Publication 1-C, dated May 1 1997.

6.4 Test reports and analysis of test results on Insteel 3-CWall Panels, prepared by the Consulting EngineersGroup, hInc signed and sealed by Leslie Cl Martin, RE.Test reports Included are as follows:

6.4.1 Report on the aenol Tests Carided Out with Twee-Olme Tonnsi 7mss d nd th PrWsrn lieWith Thre-Dimesw/v 7us We Pan/& pro-paredby Graz Technical University, Reference 66.343/85and 56.475185, dated October 14, 1985, signed byH. Geymayer.

6.4.2 Report on flexural tests, prepared and signed byThomas 0. Pruitt, RE., dated October 6, 1989.

6.4.3 Report on flexural tests, prepared and signed byThomas Q Pruitt, RE,, dated May 11, 1990.

6.4.4 Report on compression testing of Insteel 3-D WallPanels in accordance with ASTM EU, prepared byLaw Engineering, Inc., Lw Engineering Job No.1460021700, dated August 23, 1990, signed byRichard S Stranahan.

6.5 Structural Engineering Handbook: Structural Analysisof Insteel 3-D0 Wall Panels, prepared by theConsulting Engineers Group, Inc*., dated February,1991, signed and sealed by Leslie fl Martin, RE.

6.6 Calculation of fire resistance of Insteel 3-0D WallPanels, prepared by the Consulting Engineers Group,Inc, signed and sealed by Armand H. Gustafero, P.RE,

6.7 Report on tets in accordance with ASTM E108Modified, prepared by Southwest Research Institute,

$wRl Project No. 01-2601407, dated January 6,1990, signed by Carl A. Hafer, P.E.

6.8 Letter from the Consulting Engineers Groupconcerning testing and analysis of insteel 3D' WallPanels, dated December 4, 1990, signed by Leslie D.Martin,

6.9 Results of tests conducted in accordance with NFIPA259:

6.9.1 Prepared by United States Testing Company, In onCarpenter expanded polystyrene, Report No EN90-0041, dated Muach 20, 1990, signed by Robert C.Smith, RE.

6.9.2 Preared by Underwriters Laboratories Inc. onCellofoern expended polystyrene, File No. R7503,dated February 16,1983, signed by JE. WaIt

6,9.3 Prepared by SGS Unibed States Testing Company, Inc.on Royal Foam Enterprises expanded polystyrene,Report No. FT97-0066, dated August 8, 1997, signedby Dale E. Holloway.

6.10 QualIy control of EPS insulation:

6.10.1 OA manrual for Cellofoam North America, Inc.,prepared by RADC0, issued April, 1994, signed by R.F. ucker, RE. and Robert Gregory.

6.10.2 Follow-up procedures for Carpenter InsulationCompany, prepared by Underwriters Laboratories,Inc., File PR11056, Vol. 1, issued August 13, 1984,revised June 7, 1994, signed by Robert H. Levine.

6.10.3 GA manual for Royal Foam Enterprises, prepared byRADCO, issued July, 1997, signed by FL F. Tucker,PE. and Nikolay Paly.

6.11 Letter prepared by Pruitt & Purcell, P.C., datedNovember 3, 1997, signed and gealed by Thomnas D.Pruitt, P.E.

7.0 CONDITIONS OF USE

The National Evaluation Service Committee finds that the ICS3-DC Wall Panels shall be described in tis report are anacceptable alternative material, product or method ofconstruction to that specified in the 80C4 NfatIonat &BungCode/1996, the 1997 Standard iding Code, and the 1994Unifom Bud//ag Code with 1996 Accumulative Supplement,subject to the following conditions:

7.1 The IC$ 3-D Wall Paneis shall be delivered, storedend handled in such manner that the insulation isnot punctured and the welded-wired fabric is not bent

72 Applications for a permit utilizing ICS 3-D" WallPanels shall be ccomparnied by plans, specifications,and structural calculations verifying compliance withthe provisions of tis report. Such documents shallbe signed and sealed by a registered professionalwhen required by state statutes or the authorityhaving iurisdiction.

7.3 The scope of this report s limited to an evaluationpanel strength and fire performance only, informationconcerning code conformance of other aspects of thebuilding design (such as connections, weatherprotection, etcr.) shall be submitted to the authorityhaving jurisdiction for approval.

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7.4 Cuts in pnel wythes. holes or other oening inpandals, etc, shall not be permitted unless shown onapproved plans.

75 The IC 3- WaN Panes shall be instaled inaccodne With this report and the manufactuersinstllation instructiorn a noted in Section 4.0 of t$report.

7.6 in areas using the Stwn d Oukg Co*, Insteel 3-0wall pnels used on buildings containing woodconstruction shall be Installed such that the foamplastic insultion met the ruiremens of Section2304.1.4of the Stadard Budng Cod.

7.7 Thi report is subject to re-mination every 2 years.For current status consult the istnO of one of thethree partlpaing members of the NES.

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Page 77: Design and Analysis of a Concrete Modular Housing System

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