Upload
hanguyet
View
243
Download
5
Embed Size (px)
Citation preview
• A DIVISION OF •
Truss Bridge Design
Innovator’s Notebook
Prepared by:
Polar 3D
Student’s Name: _________________________________
Teacher’s Name: _________________________________
Truss Bridge Design | 1
Table of Contents
ProjectDesignBrief.....................................................................................................2CourseOverview..................................................................................................................3
TheDesignProcess....................................................................................................................................3Evaluation..................................................................................................................................................3Documentation.........................................................................................................................................4
TheDesignProcess......................................................................................................5DefinetheProblem..............................................................................................................7
SettheStage.............................................................................................................................................7IdentifytheProblem...............................................................................................................................16IdentifytheCriteria&Constraints..........................................................................................................19Discuss&Guide.......................................................................................................................................21Research&Explore.................................................................................................................................23DevelopaSolution.............................................................................................................27
IdeaGeneration......................................................................................................................................27Debate&Decide.....................................................................................................................................32Model&Prototype..................................................................................................................................35Justify......................................................................................................................................................353DPrint(1/2)...........................................................................................................................................35TesttheDesign..................................................................................................................36
TestSetup................................................................................................................................................36Analyze&Communicate.........................................................................................................................37Self&GroupEvaluation..........................................................................................................................39ImprovetheDesign............................................................................................................40
Redesign&Model...................................................................................................................................40Defend.....................................................................................................................................................403DPrint(2/2)...........................................................................................................................................41FinalBridgeCompetition.........................................................................................................................41Write&Wrap-Up....................................................................................................................................41
Evaluation..................................................................................................................43Bibliography...............................................................................................................44
Truss Bridge Design | 2
Project Design Brief
Project Name Truss Bridge Design
Authored By Dr. David Thornburg, Ph. D., David A. Parrott, MDes
Subject Area(s) Physical Science, Engineering, Mathematics
Main Grade Level High School (9-12)
Design Software BlocksCAD
Design Time 1 hour
Print Time 1 hour
Tools Caliper for measuring the diameter of the skewers, glue gun, dental picks
Extra Materials Bamboo skewers, weight sets (optional)
Standards Disciplinary Core Ideas: Physical Sciences
Crosscutting concepts: Mathematics
NGSS Standards related to this activity:
K-PS2-1 Motion and Stability: Forces and Interactions K-2-ETS1-2 Engineering Design MS-PS2 Motion and Stability: Forces and Interactions HS-PS2 Motion and Stability: Forces and Interactions K.Forces and Interactions: Pushes and Pulls MS.Forces and Interactions HS.Forces and Interactions
STEAMtrax URL: build.steamtrax.com
STEAMtrax User Name: _________________________
STEAMtrax Password: _________________________
Truss Bridge Design | 3
Course Overview
During the course of this project, you and your team will be challenged to
design a model truss bridge. You will be provided with certain resources (e.g. calipers,
dowels, etc.), and you will be challenged to design a proof-of-concept prototype of a
truss bridge and then improve its performance by designing, prototyping and testing new
geometries using the Engineering Design Process described below.
The Design Process
Your project will follow the STEAMtraxPLUS Engineering Design Process. This is
a powerful, iterative process for problem solving. Many versions of this process are used
in the professional world to solve complex challenges in every industry, including New
Product Development (NPD), process improvement, and many others. Examples of these
include the Phase Gate Model, Stage-Gate, User-Centered Design, IDEO’s Design
Thinking, Agile Development, Systems Engineering, Knowledge-Based Development,
Spiral Development, and many, many others. New and improved models for this process
are being developed and tested every day. The process outlined in STEAMtraxPLUS is a
distillation of these processed meant to familiarize you with the rudiments of this
powerful problem-solving methodology.
During the course of this and other STEAMtrax modules, you will work
collaboratively with other team members to define the problem you intend to solve,
develop a solution, test your Design, and improve your Design.
Evaluation
Just like in the real world, this project is self-directed and collaborative. You and
your team will be working collaboratively toward a goal — checking in with your
instructor for review and guidance. In addition to these frequent check-ins, this project
includes four discrete check-in points during which you will be presenting your work
using a number of methods — verbal and written. These include two informal verbal
presentations: Justify (Phase 2) and Defend (Phase 4). There are two short written reports
due in phases 3 & 4. You and your group will be performing self-evaluations following
each written report. Your instructor will evaluate your performance at the end of the
project.
Truss Bridge Design | 4
Documentation
Whether its science, mathematics, engineering or design, in the technical fields
documentation is everything. Good documentation is critical to the advancement of
science and industry, because without it, there is no proof of your solution — nor will it be
repeatable. “In a research environment, good research records are essential for a
number of reasons—including for assisting the institution in meeting its progress-
reporting requirements to research sponsors, for documenting expenditures, and for
promoting research integrity.”
In the innovation space, the need for documentation is perhaps even more
important for the inventor, because in “the United States, unlike virtually every other
country, priority of invention is established by the first-to-invent rule… To comply with
patent law, the first party to conceive a patentable invention must carry out certain
activities to proceed with reasonable diligence toward the development and patenting of
an invention… Therefore, an inability to prove who is the first to conceive, or a lack of
evidence to refute a charge that an inventor was not diligent in pursuing an invention,
can lead to the loss of valuable patent rights to which the inventor and institution may
otherwise have been entitled.” (Crowell)
At every step of this project, you will be documenting your findings using this
Innovator’s Notebook. This is intended to introduce you to the habit of documenting all
of your ideas and thought processes as you move through every step of your project.
Truss Bridge Design | 5
The Design Process
Design is an iterative process involving research & exploration, innovation &
execution, testing & analysis and documentation. It is rare for a concept to be turned into
a working project on the first try. Most projects require several loops of this iterative
process — each generating enhancements that move the project closer to its goal. This
project and all STEAMtraxPLUS modules follow a distilled version of this iterative
problem-solving process, as outlined on the following page.
The design process is based on constraints. The very act of design reflects a
creative friction between creative options and constraints. For example, there are many
ways to design a simple device, like a hinge. The strength requirements of every part are
a few constraints; cost is another one; as might be the ease of manufacturing. Designing
without constraints is a lot like playing tennis without a net. Sure, you might get the ball
to the other side, but the addition of a net raises the skill required and suits the design to
its context and purpose. Without constraints, a project has no purpose and the designer
has no metric against which to measure the performance of his/her design.
Elegance is another important factor in design. While the American architect Louis
Sullivan famously said that “Form ever follows function,” this principle grew from a core
idea first expressed by Marcus Vitruvius Pollio, the Roman architect, engineer, and
author. Pollio first asserted in his book, De Architectura, that a structure must exhibit the
three qualities of firmitas, utilitas, venustas ― that is, it must be solid, useful, and
beautiful. Just because a design is functional does not mean it can't also be elegant. We
all have visceral reactions to designs ― even if we aren't aware of them. You might be
attracted to one design, while others prefer something different. There are some kinds of
designs that are appealing to a large number of people ― designs based on the Golden
Mean, for example, which show up in everything from ancient Greek temples to the
design of Apple's laptop computers.
As this design project unfolds, consider how you might leverage the powerful
problem-solving methodology outlined below to create a functional and elegant solution
within the constraints of the design challenge.
Truss Bridge Design | 6
Truss Bridge Design | 7
Define the Problem
Set the Stage
A bridge is simply a structure intended to span an obstacle. A bridge can be as
simple as a log crossing a stream or as innovative as the Gateshead Millenium Bridge, a
mechanized, tilting bridge over the River Tyne.
In nearly all cases, however, bridges are some of the most beautiful and elegant
structures created by man. Because they must support their own weight in addition to
their designed load (traffic, wind, et al.), bridges meant for large spans are necessarily
created to be as efficient as possible. The result is a fusion of form and function in which
materials, construction and form must all be balanced cleverly in the mind of the designer
to create a structure that is more than the sum of its parts. When done beautifully, the
results include world-renowned bridges like the Golden Gate Bridge, the Millau Viaduct,
or the Alcántara Bridge. Though these designs span centuries, all are iconic for their
combination of beauty and utility.
This project focuses on a specific kind of bridge ― the truss bridge ― often used
for fairly short spans carrying heavy loads like trains. The truss bridge represents a
unique structural solution that combines simplicity of design and economy of material in
a way that prior bridge designs did not. Before we explore the truss bridge, let’s take a
look at other types of bridge to see how engineers use basic geometric principles to
span distances — large and small — with bridges.
Truss Bridge Design | 8
Types of Bridges
What follows is a short description of a number of general bridge types, including:
beam, arch, cantilever, suspension, cable-stayed and truss. There are many more types
of bridge and many that are hybrids of several of the types mentioned below.
Beam
A beam bridge is the simplest form of
bridge. It is one in which horizontal beams
are supported at each end by substructure
units, called piers. “Under load, the beam's
top surface is pushed down
or compressed while the bottom edge is
stretched or placed under tension.” (Beam
Bridges) The strength of a beam bridge is a
function of its material and the height of its
section (if you were to cut the bridge along
its center, the height of the resulting cross
section). A log can be a beam bridge; as are
those you see over most highway overpasses.
Arch
The arch bridge is an ancient
innovation that has been used for centuries
to create what are arguably some of the
most elegant structures made by man.
An arch bridge is a bridge with a curved span
used to transfer vertical loads to abutments
on either side. The oldest surviving arch
bridge dates to the Greek Bronze Age. Built
using traditional masonry techniques in stone
and brick —materials that are strong in
compression but weak under tension — the
An example of a typical beam bridge. The next time you drive along a highway, note the difference in beam height of the bridges you pass under. Those with extra tall beams are likely designed for trains, while those with shorter beams may be meant for cars or even pedestrians.
Built in the early 14th century, the Pont du Diable in Ceret, France is a beautiful example of a traditional stone arch bridge. This type of construction takes advantage of the compressive strength of stone to achieve spans that would otherwise be impossible.
Truss Bridge Design | 9
arch bridge allowed engineers to create long and elegant spans without the use of
modern high tension materials like steel cable.
Cantilever (and cantilever truss)
The cantilever bridge is a type of bridge
that uses two opposing arms balanced along
their centers on piers with the far end of each
arm anchored to an abutment and the end
over the center of the span cantilevering out
into space and connected to the opposing
arm. To reduce the weight of the bridge itself,
large cantilever bridges are made of steel
trusses.
Suspension
The suspension bridge is one of the
most recognizable and iconic bridge types.
Suspension bridges “suspend the roadway by
cables, ropes or chains from two tall towers.
These towers support the majority of the
weight as compression pushes down on the
suspension bridge's deck and then travels up
the cables, ropes or chains to transfer
compression to the towers... The supporting
cables, on the other hand, receive the bridge's
tension forces. These cables run horizontally
between the two far-flung anchorages…
essentially solid rock or massive concrete
blocks in which the bridge is grounded.” (How
Bridges Work)
The design of a bridge over the Firth of Forth was originally proposed by Sir Thomas Bouch. After the tragic failure of his Tay Bridge in 1879, the project was awarded to English engineers Sir John Fowler and Sir Benjamin Baker.
The Roebling suspension bridge between Covington, Kentucky and Cincinnati, Ohio opened to traffic on January 1, 1867. A prototype for the Brooklyn Bridge, its central span of 1057 feet was, at the time, the longest in the world.
Truss Bridge Design | 10
Cable-Stayed
Though they look a lot like suspension
bridges, “cable-stayed bridges differ from their
suspension predecessors in that they don't
require anchorages, nor do they need two
towers. Instead, the cables run from the
roadway up to a single tower that alone bears
the weight… Cable-stayed bridges are a
popular choice as they offer all the advantages
of a suspension bridge but at a lesser cost for
spans of 500 to 2,800 feet (152 to 853
meters). They require less steel cable, are
faster to build and incorporate more precast
concrete sections.” (How Bridges Work)
Truss
A truss bridge is a type of
bridge whose main element is a truss
which is a structure of connected
elements that form triangular units. The
truss bridge is essentially an advanced
form of beam bridge that uses a
framework of members to increase the
section height of the beam with a truss distributes stress through the entire structure,
permitting the bridge to support not only its own weight but also that of its designed load. “While arch bridges provide support from beneath and suspension bridges provide
The Union Pacific truss bridge over Garcitas Creek in Inez, Texas is an example of a quintessential truss bridge. Its design leverages trigonometric principles to provide massive load-bearing capability with minimum weight.
The Assut de l’Or Bridge in Valencia, Spain is a beautiful example of a cable-stayed bridge. It was designed by Santiago Calatrava and completed in 2008.
Truss Bridge Design | 11
support from above, a truss bridge strengthens the road itself.” (How Does a Truss Bridge Work?)
The Truss Bridge
The earliest known documentation of a truss bridge dates to 1570 and is found in
Andrea Palladio’s Four Books on Architecture. (Hayden) Before the Industrial Revolution,
most bridges were made of stone like the one pictured here, which dates to the 16th
century. Stone bridges are amazing structures. They utilize many of the same geometric
and structural principles that underpin truss and suspension bridges, but they are limited
in span due to the high weight of stone and its relatively poor mechanical properties in
tension.
Even within the category of Truss Bridge, there are many, many sub-categories of
truss bridge designs, including the following:
Allan Baltimore Burr Arch K Long
Bailey Bollman Howe Truss Lenticular Parker
Pratt Vierendeel Pegram Warren Bowstring
Take some time to research a few of these truss designs on-line. Select 3 trusses
from the list above and provide a brief description and a sketch in the space provided on
the following page.
Truss Bridge Design | 12
As you can see, truss bridges come in many different designs. The one thing they
have in common is the use of triangles to bring stability to the structure.
Truss Bridge Design | 13
The Strongest Polygon
You may have already learned that a triangle is a
stable polygon. Once put together, the shape can't be
changed by pushing or pulling on the sides. Triangles
are unique in that sense. The angle between two
structural members is based on the length of the
opposite member. The angle “a” is fixed based on the
relative length of side “A.” Just like the angle “b” is
fixed based on the relative length of “B” and “c” based
on “C.”
“Triangles are strong because of their inherent structural characteristics. The
corner angles of a triangle cannot change without an accompanying change in the length
of the edge. Therefore, in order to change a triangle’s shape, an edge must collapse.”
(Why are triangles so strong?)
For a quick demonstration of this, consider the diagram below. If each of these
beams was of infinite strength (i.e. they cannot be made to buckle) the only way to
deform each shape would be by changing the angle at each joint. What would happen if
you were to apply a load of infinite force and the vector shown to each of the shapes
below? Draw the deformed shape on your page using a dotted line.
Truss Bridge Design | 14
In developing a truss bridge, our goal is to create a rigid structure, but our
structure is composed of joints which provide a certain degree of freedom to the
members of our structure. If you think of our truss shapes as a mechanism — a system or
structure of moving parts intended to perform a function (Collins English Dictionary) —
then our goal for this project is to develop a poor (non-moving) mechanism.
If you think of the shapes above as planar mechanisms with motion possible only
at their joints, you see that their structure is inversely related to their “mobility” at each
joint. (For the purpose of this discussion, mobility is defined as the internal relative
motions of these joints, neglecting the movability (in six degrees of freedom) of the
structure as a whole.) That is, to the extent that each joint can move, these shapes may
serve as a great mechanism (e.g. a four bar linkage), but they would also serve as a poor
structure (e.g. a bridge).
This phenomenon is described handily by the Kutzbach criterion, which shows us
that it is possible to determine the mobility of a mechanism simply by counting the
number of links and the number and types of joints included in that mechanism.
“Consider that before they are connected together, each link of a planar mechanism has
three degrees of freedom when moving relative to the fixed link. Not counting the fixed
link, therefore, an n-link planar mechanism has 3(n - 1) degrees of freedom before any of
the joints are connected. Connecting a joint that has one degree of freedom, such as a
revolute pair, has the effect of providing two constraints between the connected links. If
a two-degree-of-freedom pair is connected, it provides one constraint. When the
constraints for all joints are subtracted from the total freedoms of the unconnected links,
we find the resulting mobility of the connected system.” (Uicker, Pennock and Edward)
Truss Bridge Design | 15
𝒎 = 𝟑 𝒏 − 𝟏 − 𝟐𝒋𝟏 − 𝒋𝟐 where:
m = mobility of the system
n = number of links
j1= number of joints with 1 degree of motionj2= number of joints with 2 degrees of motion
Using this criterion, in a mechanism in which m = 0, motion is impossible and the
mechanism remains rigid. If the equation yields m = 1, then constrained motion can be
generated using a single input motion (a good mechanism but a poor structure). If m = 2,
then two input motions are required (a loose mechanism and even poorer structure). If m
= -1, then the mechanism has redundancy. For our purposes, we are seeking rigid
structures —mechanisms in which m = 0.
Consider the graphic below. using the equation on the previous page, calculate
the mobility of each of the following planar mechanisms. (Because we are only
considering structures with pinned joints, all the mechanisms in this example will use j2 =
0.) Which provides the highest mobility? Which provide(s) the greatest rigidity? Which
does so with the fewest possible members?
This project uses 3D printing to explore the strength of triangles in the
development of a 3D printed truss bridge. In the first part of this project, your team will
explore just how stable triangles are by creating three dimensional versions of the
structures above. In the second part of the lesson, your team will create truss bridges
that apply the knowledge you’ve learned.
Truss Bridge Design | 16
Identify the Problem
What is the problem you’re trying to solve? This first, critical question forms the
foundation for all the work to follow. The answer to this question is known as the
Problem Statement.
In the professional world, the audience for this statement can be the owners or
manufacturers of a product, a client, or an end-user, among others. It is essential that this
statement be phrased in such a way that it can be understood by each of these very
different stakeholders. To provide this clarity, a problem statement is often conveyed in
the following format:
To design a ___________ for _____________ that _________________.
In this section, you will develop a problem statement in this format, using a
worksheet in the following pages. There are six critical questions that must be answered
with every design project: Who? What? Where? When? Why? And How? As depicted in
the chart below, the Problem Statement answers 4 of them.
The Questions of Design Question Answer
Who?
Who is the intended end user of this device? (This is important for identifying
constraints and criteria for this user’s needs.)
Problem Statement
What?
What is the intended function of the device? What may also be used to describe the device (e.g. a toy car), but don’t let that
description limit you.
Problem Statement
Where? Where is the device intended to be used? (e.g. will it be used on a smooth table? In a
sandbox?) Problem Statement
When? When will the device be used? (e.g. is it something that requires daylight?) Problem Statement
Why? Why is this device being created? (e.g. why is it important that this device exist?) Set the Stage
How? How will you solve the problem? Design Process
Truss Bridge Design | 17
Based on the knowledge you gained during the Set the Stage phase, think about
the project and the challenge you’ve been presented. You have been asked to design a
small model of a truss bridge. What is your goal for this model?
_____________________________________________________________
With this as your overarching goal, use the Problem Statement Worksheet below
to determine the inputs for your problem statement. Some answers have been provided
for you. (For this project, you will be creating a model of the device described in the
chart below, rather than the real thing.)
Question Answer
Who? (e.g. a person
traveling on foot)
What? A (model) bridge
Where? (e.g. spanning San Francisco Harbor)
When? (e.g. for the opening
of the America’s Cup)
This model will be designed to span an area in the classroom defined by your instructor.
Why? (e.g. as a means to allow fans to view
the race from above)
Truss Bridge Design | 18
Now use the answers from the worksheet on the previous page to frame a
concise problem statement using the format provided below. (Though it will be critical to
the development of your product requirements, the why need not be included in a
problem statement.)
Collaboration is critical to success in engineering as it is in many fields. Once
you have documented your idea for the goal for the project, confer briefly with your
team to discuss. Compare each other’s problem statements and come to a consensus
on a problem statement that you believe your team has the knowledge and resources to
attempt. For example, if your problem statement reads “To design a truss bridge capable
of spanning the English Channel,” your team may not have the requisite knowledge with
which to design or test the bridge. In this scenario, you would be wise to take on a lesser
challenge. In the space below, document the revised problem statement of your group.
Problem Statement (first draft):
To design a ___________ for _____________ that __________________. (What?) (Who?) (What? When?)
Where?)
Problem Statement (group consensus):
To design a ___________ for _____________ that __________________.
(What?) (Who?) (What? When? Where?)
Truss Bridge Design | 19
Identify the Criteria & Constraints
Criteria (the plural of criterion) are requirements or characteristics that define
success in a new project or device. Constraints are limitations or restrictions that limit the
possible implementations by which you achieve that success.
In starting any new design project, you might perform a number of studies to
determine the criteria and constraints of your project. For the design of a bridge, these
might begin with a feasibility study comprising: a topographical survey; an environmental
impact assessment (EIA); a social impact assessment (SIA); traffic, hydrological and
geotechnical investigations; and bathymetric surveys as well as financial analyses. The
results of these analyses would provide constraints and criteria for your project, including
the type (movable, fixed) and subtype (truss, cable-stayed, et al.) of your bridge design.
For an historical example of a feasibility study for the construction of a new bridge,
please take a moment to review the 2012 Northgate Pedestrian Bridge Feasibility Study
Report, prepared by the King County Department of Transportation. You can skim
through this original feasibility study by downloading it from the Student Resources tab in
your STEAMtrax dashboard.
Criteria and constraints provide the framework within which you will design a
solution to your problem statement. In any new project, it is important that you define
these before you begin generating solutions. If you begin innovating before defining this
critical framework, you may invent a solution that doesn’t meet the requirements of your
project. The output of this phase of the project is a Product Requirements Document
(PRD) that outlines the requirements for your project based on the criteria for its success
and the constraints that limit that success.
criterion n. a principle or standard by which something may be judged or
decided (source: Oxford English Dictionary)
constraint n. a limitation or restriction (source: Oxford English Dictionary)
Truss Bridge Design | 20
Requirements = criteria - constraints
Determining Criteria
Now that you have completed your problem statement, consider how different
aspects of the problem statement (answer column) will affect the criteria for your design.
During this short exercise, you will meet with your group to create a list of the criteria for
your project’s success. By using the answers provided previously (who, what, where, etc.)
as a foundation for this exercise, you will ensure that your criteria align with the problem
statement above. For example, if you are designing this model truss bridge (what) for
use in a classroom (where), you will need to ensure that the model can be readily
mounted to a water source.
Using the space below (or an attached sheet of paper), list the criteria that your
model turbine must meet to be successful. Some answers have been provided.
Answer Criteria
Who?
What?
Where?
A span defined by your teacher (e.g. between two tables of known distance
apart).
When?
Why?
Truss Bridge Design | 21
Constraints
What limitations will restrict your solution to the problem? What materials do you
have to work with? What capabilities do you and your team have to help the project
succeed? Take a moment, with your team, to list several of these constraints in the space
provided below or on an attached sheet of paper. A few constraints related to the
content of this project have been provided, below.
Constraints
Discuss & Guide
During this section, you will outline the requirements for your device. It is
important to have a robust list of design requirements, because design requirements
form the structure around which all future design decisions are made. If you add a design
feature that prevents you from meeting one of these requirements, the design may be a
failure. Most complex engineering projects include a list of hundreds of design
requirements and specifications. For this project, we will start with just five.
Meet with your group to determine and document at least five (5) requirements for
your bridge model. Build on your prior work to be sure that these requirements reflect
your knowledge of the criteria and constraints that drive your project. To ensure that you
meet the foundational goals for the project, consider the who, what, where, when and
Truss Bridge Design | 22
why that you outlined previously. Be sure that your group can justify, logically, the
incorporation of design requirements based on answers to those questions.
Not all requirements are created equal. Consider a real bridge. It is very important
that it be safe and survive all forces of traffic and elements that are applied to it. The
aesthetic of the bridge, while important, is not as important as safety and longevity. As
you begin to outline your requirements, be sure to weight their relative importance, using
the scale below. Because not every requirement can be critical, you may only use each
number three (2) times in your ranking.
Once you have completed a list of five requirements for the new device, outline
them in the space provided, including a name for the requirement, its ranking, and a brief
description written to read in the following format “the device shall ______________.”
Number Weighting (1, 3, or 5) Title (Description) The device shall….
1
2
3
4
5
1 = least important or “nice to have”
3 = important or “must have to be competitive”
5 = critical or “without this, the device will fail”
Truss Bridge Design | 23
Research & Explore
Now that you have explored and created the structure of your design project and
outlined a series of design requirements, it’s time to do some hands-on exploration of
some of the constraints that will challenge
your abilities to execute on those
requirements. Hands-on research and
exploration allows you and your team to
develop a firsthand understanding of
these constraints from which you can
innovate. One of the quickest and most
powerful ways to get firsthand experience
is to develop a prototype.
There are many types of prototype. A number of them are listed in the box at right.
During this phase of the project you and your team will construct and experiment with a
proof of concept (POC) prototype that demonstrates that basic function of your device.
This prototype will utilize many of the same components and principles that will be
included in your final design, but it will provide only basic performance. You will use this
prototype as a learning tool from which to improve your design as you move through the
next phases of the iterative engineering design process.
Images: www.Dyson.com
proof of concept n. evidence, typically deriving from an experiment or
pilot project, which demonstrates that a design project, business proposal, etc. is
feasible. (source: Oxford English Dictionary)
TYPES OF MECHANICAL PROTOTYPE
Visual (or “looks like”)
Proof-of-Concept (or “breadboard”)
Presentation (or “looks like/works like”)
Pre-Production (or “factory sample”)
Truss Bridge Design | 24
During this initial prototyping exercise, your
team will develop two sets of components — a set
of flexible struts to reinforce the lessons in
Setting the Stage, and a model truss bridge using
a simple, 3D-printed connector. Using the first
output of this phase — the struts —you and your
team will be able to evaluate how the elements
you explored in Setting the Stage contribute to
the performance of your model. Using the second
component — the truss bridge model — you will
see these principles in action.
Take note of how this version of the device performs and begin thinking about
areas for improvement. Your goal in the later phases of this project is to improve on this
basic design by designing and testing your own truss bridge based on what you learn
from this proof of concept prototype.
Use the step-by-step BlocksCAD instructions found in your STEAMtrax dashboard
under Classroom Guide > 3D Printing Files to create this POC prototype, using
BlocksCAD.
Truss Bridge Design | 25
CAD (Computer Aided Design) is the use of computer systems to aid in the
creation, modification, analysis, or optimization of a design. In the engineering
professions, CAD is most often used to design three dimensional (3D) models that are
used for the communication, analysis and manufacture of mechanical parts and
assemblies. There are many
powerful CAD modeling tools
available with which to create
the 3D models. The software
used for this module is
BlocksCAD. BlocksCAD is a simple-to-use, cloud-based 3D modeling tool that
incorporates “complex programming and mathematical functions.” Unlike traditional
CAD modeling tools that rely on graphically modeling new shapes in 3D, BlocksCAD
uses a modeling technique based on computer programming to transform your code into
three dimensional objects. This means that, during the course of this project, you will not
only learn about 3D modeling, you will be introduced to the rudiments of computer
programming.
Refer to BlocksCAD instructions found in your STEAMtrax
dashboard under Classroom Guide > 3D Printing Files to create
this POC prototype, using BlocksCAD.
Things to do and notice
Activity 1 > The first activity is open-ended and intended to explore the stability of
triangular structure. Experiment with this structure using 3, 4 and 5 members. See
how you can stabilize the shape by adding members. Try to predict how these
shapes will behave. (This is a good time to use your trigonometry skills to
calculate the forces on each strut. A hint to get you started: all the struts are the
same length, making the shapes equilateral triangles.)
Activity 2 > Working with the bridge model, you and your team will put some
weight on the roadway and see how well your bridge holds up. If you increase the
load enough, the bridge will break. Can you anticipate where the break will likely
occur?
Truss Bridge Design | 26
Set the bridge up between two books or similarly rectilinear support such that it
spans a measured distance. Apply weight slowly until the bridge collapses.
Document how much weight your bridge held just before it collapsed in the space
provided below. Collect the same data from other groups and document the
average performance of this POC design, in the space provided. (If dowels
break off in your connector pieces, you can pry out the broken struts with a dental
pick and replace them.)
GROUP 1 2 3 4 5 6
Span (cm) AVERAGE
(SUM / 6)
WEI
GH
T A
T FA
ILU
RE
(kg)
Proof of Concept (POC) Model
Truss Bridge Design | 27
Develop a Solution
Idea Generation
During this task, you will be generating ideas to improve upon the proof-of-
concept prototype you generated in the previous phase and incorporating
requirements you identified earlier. For this lesson, you’ll be learning an interesting idea
generation technique — the SCAMPER method.
SCAMPER
SCAMPER is “a creative thinking technique that helps students imagine the world
in a completely new way.” (Eberle) Initially coined by creative thinking pioneer Alex
Osborne, this methodology was “fleshed out” by educator Bob Eberle, in his 1971 book
Scamper: Creative Games and Activities for Imagination Development. (SCAMPER - The
Key to Innovation and Entrepreneurial Success!) This tool “helps you generate ideas for
new products and services by encouraging you to think about how you could improve
existing ones.” (SCAMPER) SCAMPER is a mnemonic to help you remember the process
involved in this method. It stands for: Substitute, Combine, Adapt, Modify, Put to another
use, Eliminate, Reverse.
A delicious example of the SCAMPER method. (Image Source: Creative Universe)
Truss Bridge Design | 28
During this phase, you will use SCAMPER to improve upon your proof of
concept by substituting, combining, adapting, modify, putting to another use,
eliminating, or reversing element of its design. Your goal is to improve on your earlier
design by creating a truss bridge model that will support more weight than the proof of
concept prototype. Some of the elements below will be more applicable to this project
than others.
(S) Substitute Remove some part of the accepted situation, thing, or concept and
replace it with something else. Look at the elements of your POC and ask: Can
any components of this be replaced? Can I change their shape? Can I use other
materials? Can the rules be changed?
(C) Combine Join two or more elements of your device and consider ways that
such a combination might move you toward a solution. Ask: What components
could be combined? Can I merge this device with something else? Can I include
different materials or components?
(A) Adapt Change some high level attribute of your device. Ask: What else is this
like? What could it emulate? What can I incorporate from other industries or
applications? (e.g. biomimicry)
(M) Modify Consider multiple aspects of the device, including: size, shape, other
dimensions, texture, color, attitude, position, history, and so on. What can be
modified to improve function? Ask: Can elements be made larger or smaller? Can
other elements or strategies be added to or eliminated from the design?
(P) Put to other use Modify the intention of the subject. Think about why it exists,
what it is used for, what it's supposed to do. Challenge all of these assumptions
and suggest new and unusual purposes. Ask: Why does this exist? Could this
device or its technology be applied to a new need?
(E) Eliminate Remove components, simplify, reduce to core functionality. Ask:
How can this be simplified? What features can be minimized or eliminated without
ruining the function of the device? Does this elimination improve function?
(R) Reverse/Rearrange Change the direction or orientation. Turn it upside-down,
inside-out, or make it go backwards. Ask: If the device were assembled in a
different way, would it be better, worse, or changed entirely?
Truss Bridge Design | 29
Meet with your team to SCAMPER around the current implementation of your
project (the POC) to improve its performance. Document your output using a web
diagram formatted like the one shown here. It is recommended that you use large format
paper or a whiteboard for this process and copy your work to this page or a similarly
formatted copy.
Truss Bridge Design | 30
Concept Sketching
The output of any ideation session is ideas. These can be documented in a
number of ways. The output of
some brainstorms are simply
lists. Others include photos,
magazine clippings, objects or
sketches. By far the most
popular and effective output of
a brainstorm is a concept
sketch. An example of a
professional concept sketch is
pictured here.
For this project, you will be documenting your concepts using a concept sketch
and a brief description of your design.
Step 1 > Divide and conquer. Divide your concepts such that each team member
has an equal number of concepts. Each team member will sketch at least one
concept in their notebook, using the page that follows.
Step 2 > Describe your design. You will document each concept on a single
sheet of paper, including a brief description and a rough concept sketch. To
begin, describe your concept in a sentence or two.
Step 3 > Create a sketch. Add a rough concept sketch to your page. (Attach
additional sheets, as needed.) Show the design from multiple views and be sure to
highlight specific features of the sketch using callouts, as needed. Each page
should follow the format outlined on the page that follows, including: Concept
number, Concept name, features list, and sketch.
Step 4 > Sign it! Be sure to sign and date your concept in the spaces provided.
Inventors mark their ideas in this way — using dates and signatures — to prove that they
were the first to invent a new idea.
Truss Bridge Design | 31
Date: _____ Signature: ___________________________
sketch area
Concept #: _____ Concept Name: ___________________________
Description:
Truss Bridge Design | 32
Debate & Decide
This is one of the most critical steps in any design project. During this task, your
team will select a single design for advancement to the prototyping stage of the project
using a powerful decision-making tool — the criteria-based matrix.
Employing a rigorous decision-making methodology is extremely important to
effective design, because a great solution to the wrong problem is an even more costly
failure than a poor solution to the right one. It’s up to your team to make sure you’re
solving the right problem. This step ensures that the concept with the best chance of
meeting the goals of the project gets the benefit of this powerful design process.
Begin the process by laying out your concept sketches on a flat surface. Take a
moment to list the pros and cons of each concept on a separate sheet.
Once this step is complete, it’s time to formalize your evaluation and select a
direction for advancement. Because the process of selecting a single concept from so
many good ideas can be difficult, is it often necessary to provide a formal structure for
evaluation. To make this problem simpler, this module utilizes a tool called a Criteria-
Based (or Pugh) Matrix. This matrix is a powerful decision making tool that can be used to
make high level decisions even early in the design process, when very little data is
available on which to make decisions. On a complex project, matrices like these will
often include dozens of concepts and potentially hundreds of requirements on which
each concept is will be judged.
As you determined earlier, in the Discuss & Guide phase of the project, not every
requirement is of equal importance. The Pugh matrix is where the requirement weights
you provided earlier finally come into play. By calculating the estimated performance of
each concept against a requirement and then against the relative importance of the
requirement, you can get a sense of the overall potential of the concept.
criteria-based matrix n. a scoring matrix used for concept selection in
which options are assigned scores relative to criteria. The selection is made based
on the consolidated scores. Before starting a detailed design, there are many
options – this tool helps with selecting the best option. (source: iSixSigma)
Truss Bridge Design | 33
To use the Pugh Matrix on the following page, please meet with your group and follow
the steps outlined below. Complete the steps below for each of your concepts,
including the POC prototype. This data will be used in the testing phase to follow. (Attach
a separate sheet of paper, as needed, to document your results.)
Step 1 > Input your concepts. Match the concept number with the space provided
in the matrix. In the description box, jot down a brief description of each concept.
Step 2 > Input your requirement weights. Copy the requirement weights you
provided earlier (in the Discuss & Guide phase) into the corresponding boxes.
Step 3 > Rank your concepts. Take some time to go through your concepts one-
by-one and estimate their performance against each of the five requirements on a
scale of 1 – 4. (For example, if one of your requirement is for child safety, then a
design with a number of small choke hazards might receive a 1. A design with
fewer small parts might receive a 2 or 3. A design with no small parts might
receive a 4.)
Step 4 > Calculate the weighted performance of your concepts. To calculate the
weighted performance of each concept, multiply the score in each box by the
weighting of the corresponding column and add up each of these new scores.
If score = S and Weighting = W, then your total weighted performance (TWP)
can be calculated using the formula below.
TWP = (S1 • W1) + (S2 • W2) + (S3 • W3) + (S4 • W4) + (S5 • W5).
Once you have completed your concept ranking, you will have all the information
needed to select a few concepts for advancement into the next phase — prototyping. For
this project, you will select several top-performing concepts to prototype in the next
phase, using the skills you’ve learned in BlocksCAD. Many innovators advance one or
more concepts into the prototyping phase to test multiple design paths, in parallel. This
provides an opportunity to use the testing phase to experiment with multiple potential
designs.
Truss Bridge Design | 34
Total Weighted
Performance
Total
Req
uire
men
ts
5
4
3
2
1
W
eigh
ting
Des
crip
tion
The
proo
f of c
once
pt
prot
otyp
e yo
u de
velo
ped
earl
ier.
Con
cept
PO
C
1 2 3 4
5
6
Truss Bridge Design | 35
Model & Prototype
Once you have completed the evaluation of your concepts, as single concept
should emerge as a clear winner. To advance this concept into a prototype, you will
divide the design into its sub-components and model these components for 3D printing.
Your model will be based on the learnings you gained during the development of your
Proof-of-Concept prototype and may share many of the same components.
Meet with your group to divide up the 3D modeling tasks and begin to model
these components using BlocksCAD. Be sure to meet frequently with your team
members to check dimensions and ensure that all the components will fit nicely into your
assembly.
Justify
Once you have a three dimensional model of your design created in BlocksCAD,
be prepared to justify your design in an informal presentation to your classmates that
outlines the benefits of your new design. Your presentation should last no more than five
minutes. Use your CAD model as a visual aid to support your assertions.
During your presentation, take your classmates through the process you used
being sure to cite the requirements around which your design is based and the solutions
you’ve developed to solve for those requirements. Be prepared to incorporate creative
feedback from your teacher and classmates during a brief question and answer period to
follow your presentation. Document that feedback in the space provided below. (Attach
additional sheets, as needed.)
3D Print (1/2)
With your models finalized, upload your .STL files to your local 3D printer and print
a copy of each new rotor design. Assemble your new design.
Feedback:
_______________________________________________________
_______________________________________________________
_______________________________________________________
Truss Bridge Design | 36
Test the Design
Now that you have a 3D printed versions of your new bridge model, it’s time to
test it. In assessing the performance of any new device, it is important to benchmark it
against a known standard. In this case, we will use your evaluation of the POC prototype
to determine how successful your group was in improving over that design. The testing
methodology in this module is called “destructive testing.” Destructive testing tests a
material or design until failure. Destructive tests are easier to carry out than non-
destructive tests and infinitely more exciting.
Test Setup
You have already tested and documented the performance of the POC bridge
earlier in this lesson. During this task, you will test the performance of your new design
using the same methods.
Step 1 > Copy the data from your earlier (POC) tests into the chart on the following
page.
Step 2 > Assemble your bridge model over the span identified by your teacher.
For consistency, this should be the
same span as that of the earlier POC
tests.
Step 3 > Begin to apply weights to the center of your bridge model. Apply weight
in small increments until failure occurs.
Step 4 > Document the point of failure. This is the amount of weight that your
bridge could hold directly preceding the point at which it failed.
Step 5 > Document the points of failure for the other bridges in your class.
Step 6 > Average the performance of the new designs and compare to that of the
POC.
Truss Bridge Design | 37
GROUP 1 2 3 4 5 6
Span (cm) AVERAGE
(SUM / 6)
WEI
GH
T A
T FA
ILU
RE
(kg
) POC
NEW DESIGN
Analyze & Communicate
In a brief summary report, please describe the performance of your new design
against that of the POC prototype using the data you’ve collected. Also, compare your
design to that of the other groups in your class. What methods did you employ that they
did not (and vice versa)? What methods were the most successful? Why? Please prepare
your summary using the format on the following page.
Truss Bridge Design | 38
Summary (One paragraph summary of your process and findings to date, including a description of the development of your prototypes)
.
Test Setup (One paragraph description and a sketch of your bridge as well as a vector diagram of the forces applied to your model)
Test Results (Provide the results of your tests and those of the other groups in the chart below.)
GROUP 1 2 3 4 5 6
Span (cm) AVERAGE
(SUM / 6)
WE
IGH
T A
T
FAIL
UR
E
(kg
)
POC
NEW DESIGN
Conclusions & Next Steps (One paragraph providing a conclusion regarding your findings and outlining next steps)
Project Name: Truss Bridge
Team Members: ___________________________________________
Teacher’s Name: _____________________
Date: _________
Performance Testing Report
Truss Bridge Design | 39
Self & Group Evaluation
Please complete the evaluation rubric below and reflect briefly on your
experience with this project so far. Detach this sheet by cutting along the dotted line
below and submit it to your instructor. (Use additional sheets, as needed.)
Project Name Date:
Student Name
Team Members’ Names
Attribute 1 2 3 4 Score
I understand the core concepts of this module
I understand and am effectively applying the design process
I am contributing equally to the success of my group project
My group is working well together
I understand what I will do next
Total
Reflection (Reflect on and describe what you’ve learned so far. Describe what improvements you could make to
enhance your personal and group performance in the weeks to come.)
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
Self & Group Evaluation (Preliminary)
Truss Bridge Design | 40
Improve the Design
Redesign & Model
Most projects require several small modifications following every round of
prototyping. During this phase, your team will be implementing small tweaks to improve
the performance of your bridge. Consider what you learned from the performance of
your bridge compared to the POC. Consider its performance against that of the other
groups. Where did your bridge fail? At what load? What elements could you substitute,
combine, adapt, modify, put to another use, eliminate, or reverse to improve its
performance?
The CAD modifications required at this point should be minimal. Assign one or
more team member(s) per component to implement modifications to CAD geometry, as
needed, using BlocksCAD. Be sure to save the new file under a different name with a
suffix indicating its revision number. For example, if the original part was named (R0)
truss_bridge (CONNECTOR).stl, your new part might be named (R1) truss_bridge
(CONNECTOR).stl.
Original File Name Revision 1 (R1) Revision n (Rn)
(R0) truss_bridge (CONNECTOR).stl
(R1) truss_bridge (CONNECTOR).stl
(Rn) truss_bridge (CONNECTOR).stl
Getting into the habit of naming files using an easy-to-understand system for
tracking revisions is critical to every innovator working with computer files — particularly
in a collaborative environment. The format above allows files to be easily grouped with
respect to their revision (rev) number when viewing a folder.
Defend
As you did before — during the Justify phase — you must defend your new design
direction before implementing a new 3D-printed prototype. This phase is particularly
important, because it is the culmination of all your past findings and the final prototype
output of this project. You will present the modifications you’ve made to your design in
Truss Bridge Design | 41
an informal presentation to your classmates that outlines the benefits of these
modifications.
Present your case in a short (no more than five minute) verbal presentation using
visualizations of your CAD model and the results of your testing to support your new
direction.
3D Print (2/2)
With your model finalized, upload your .STL files to your local 3D printer and print
the revised components that make up your assembly.
Final Bridge Competition
This module is unique in that includes a final, explosive finish. During this task,
you and your classmates will once more test your bridge designs head-to-head to the
point of failure. Perform this test as you did previously and document your results below.
GROUP 1 2 3 4 5 6
Span (cm) AVERAGE
(SUM / 6)
WEI
GH
T A
T FA
ILU
RE
(kg
) POC
DESIGN 1
DESIGN 2
Write & Wrap-Up
Complete the documentation of your project by filling in any missing items in your
Innovator’s Notebook. Use the following page to reflect on the project and summarize
your experience.
Truss Bridge Design | 42
Project Name: Truss Bridge
Your Name: ____________________
Teacher’s Name: _____________________
Summary (Briefly summarize the problem you solved, including a description of your group’s solution)
.
Process (Briefly describe the process you followed to solve the problem)
Data (Copy your test data in the space below.)
GROUP 1 2 3 4 5 6
Span (cm) AVERAGE
(SUM / 6)
WE
IGH
T A
T
FAIL
UR
E (k
g) POC
DESIGN 1
DESIGN 2
Conclusions (Describe what you learned during the course of the project and how you applied those learnings to solve the problem.)
Date: _________
Project Final Reflection & Report
Truss Bridge Design | 43
Evaluation
Please complete the evaluation rubric and below and reflect briefly on your
experience over the course of this project. Detach this sheet by cutting along the dotted
line below and submit it to your instructor for further evaluation. (Use additional sheets,
as needed.)
Project Name Date:
Student Name
Team Members’ Names
Attribute 1 2 3 4 Score
I understand the core concepts of this module
I understand and effectively applied the design process
I contributed equally to the success of my group project
My group worked well together
Our concept was successful
Total
Reflection:
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
Self & Group Evaluation (Final)
Truss Bridge Design | 44
Bibliography
Beam Bridges. n.d. 30 12 2016. <http://www.design-technology.org/beambridges.htm>.
Crowell, Mark. Intellectual Property Management in Health and Agricultural Innovation: A
Handbook of Best Practices. Oxford: MIHR, 2007.
Eberle, Bob. Scamper: creative games and activities for imagination development. Waco:
Prufrock Press, 2008.
Hayden, Martin. Book of Bridges. New York: Galahad Books, 1976.
How Bridges Work. n.d. 30 12 2016.
<http://science.howstuffworks.com/engineering/civil/bridge6.htm>.
How Does a Truss Bridge Work? n.d. 30 12 2016.
<https://www.reference.com/science/truss-bridge-work-904e746c81e1146a>.
SCAMPER. n.d. 30 12 2016. <https://www.mindtools.com/pages/article/newCT_02.htm>.
SCAMPER - The Key to Innovation and Entrepreneurial Success! 11 2016. 30 12 2016.
<https://steemit.com/innovation/@steemint/scamper-the-key-to-innovation-and-
entrepreneurial-success>.
Why are triangles so strong? n.d. 30 12 2016. <https://www.reference.com/math/triangles-
strong-7ae25bf47214a972>.