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Design Of Foundation Design Of Foundation
for a Commercial and Residential Building for a Commercial and Residential Building
Under the Supervision of:
Dr. Mohammad Ghazal
Prepared by:
Moayad Qadarah
Raja’e OmarLu’ai Abu Sharshuh May 2011
An-Najah National University Engineering Collage
Civil Engineering Department
Project Description Project Description
Name: Eisheh Taha Oudeh Building.
Type: commercial and Residential Building.
Location: Nablus City, Rafedia Main Street, opposite to Ben Qutaiba School.
Number Of Floors: 12 floor, 2 under ground level and 10 over.
Plane Area: 550 m2 for the floor.
SCOPE OF PROJECTSCOPE OF PROJECT
Evaluation of foundations.
Selection of the proper foundations.
Design of foundations.
Literature ReviewLiterature Review
Foundations are the part of an engineered system to receive & transmit loads from superstructure to the underlying soil or rock .
There are two types of foundations : shallow & deep foundations.
Many factors should be taken into consideration in choosing foundation types such as soil properties , economic factors, engineering practice, ....etc
•
Isolated Footing.
Combined Footing.
Mat or Raft Foundations.
Strap or Cantilever Footings.
Pile Foundations.
Types of footingTypes of footing
Isolated FootingsIsolated Footings
Are used to support single columns.
This is one of the most economical types of footings and is used when columns are spaced at relatively long distances.
Its function is to spread the column load to the soil , so that the stress intensity is reduced .
Are used in the following cases:
1) When there are two columns so close to each other & in turn the two isolated footing areas would overlap.
2) When the combined stresses are more than the allowable bearing capacity of the soil.
3) When columns are placed at the property line.
Combined FoundationsCombined Foundations
Are used to spread the load from a structure over a large area, normally the entire are of the structure .
They often needed on soft or loose soils with low bearing capacity as they can spread the loads over a larger area.
They have the advantage of reducing differential settlements.
Mat or Raft FoundationsMat or Raft Foundations
Cantilever footing construction uses a strap beam to connect an eccentrically loaded column foundation to the foundation of an interior column .
Are used when the allowable soil bearing capacity is high, and the distances between the columns are large .
Strap or Cantilever FootingsStrap or Cantilever Footings
Pile FoundationsPile Foundations They are long & slender
members that are used to carry & transfer the load of the structure to deeper soil or rocks of high bearing capacity, when the upper soil layer are too weak to support the loads from the structure.
Piles costs more than shallow foundations; so the geotechnical engineer should know in depth the properties & conditions of the soil to decide whether piles are needed or not.
Bearing Capacity : is the ability of a soil to support the loads applied to the ground .
Ultimate bearing capacity is the theoretical maximum pressure which can be supported without failure;
Allowable bearing capacity is the ultimate bearing capacity qu divided by a factor of safety (F.S).
There are three modes of failure that limit bearing capacity: general shear failure, local shear failure, and punching shear failure.
Bearing CapacityBearing Capacity
When building structures on top of soils, one needs to have some knowledge of how settlement occurs & how fast settlement will occur in a given situation.
So, There are three types of settlement:
1. Initial settlement
2. Primary settlement
3. Secondary settlement
SettlementSettlement
End of Primary Consolidation
Logarithm of Time
Se
ttle
me
nt
Cα
Settlement (Cont.) Total Settlement = SI + SC + SS
The allowable bearing capacity and the type of foundations provided later are evaluated based on the settlements limits. This means that the settlement of the proposed foundation would be within the acceptable limits if the allowable bearing capacity provided is used.
Geotechnical Investigation
The studied area is approximately flat with slight difference in the three existing elevations. The general soil formation within Highly fragmented weathered limestone and marlstone of soft to medium strength with cavities filled with marl soil
The geotechnical engineer decided to drill Three boreholes trying to cover the whole construction area.
The depths of the drilled boreholes were as follows:The depths of the drilled boreholes were as follows:
Borehole No. Depth (m)
1 16.0
2 10.0
3 10.0
laboratory test results:
γ= 20 KN/m³
qall. = 3.5 kg/cm2
Taking the lowest compressive strength value of rock core specimens with test results and applying the percentage of 5%, the strength will be:
b.h1 – Qall = 5% * 75 = 3.75 kg\cm2
b.h2 – Qall = 5% * 70 = 3.5 kg\cm2
b.h3 – Qall = 5% * 78 = 3.9 kg\cm2
But considering the fact that rocks is some areas may be encountered in fragmented conditions, as well as the presence of there fracture rocks and marls, it is recommended to consider the bearing capacity value of the rock formations countered in the site of not more than 3.5 kg\cm2 within the described rock layers after the removal of all loose fill materials over the rock.
StructuralStructural designdesign Column loads are calculated using (sap program), the structure subjected to the following loads: 1) Dead Load (own weight). 2) Super imposed dead load =350 kg/m2. 3) Live load =500 kg/m2.
Using ACI code, the ultimate loads are calculated consideringload combination : Pu =1.2Dead + 1.6Live.
Material characteristics used in this project are: f’c =240kg/cm2 (B 300) Where: f’c is the compressive strength of concrete fy = 4200 kg/cm2 Where: fy is the yield strength of steel
Manual Design steps:
1) Area of footing = Total service loads on column / net soil pressure
2) Determine footing dimensions B & H .
3) Assume depth for footing.
4) Check soil pressure.
5) Check wide beam shear : Vc > Vult
6) Check punching shear : Vcp > Pult, punching
7) Determine reinforcement steel in the two directions.
8) Check development length .
IsolatedIsolated FootingFooting DesignDesign
column Footing
B(m) L(m) Area (m2 )
c1 F1 1.5 1.8 2.7
c2 F2 1.5 1.8 2.7
c3 F3 1.4 1.8 2.52
c4 F4 1.4 1.7 2.52
c5 F5 1.4 1.7 2.52
c6 F6 1.35 1.65 2.23
C15 F15 4.5 4.5 20.25
c16 F16 3.6 4.1 14.76
c19 F19 4 4.5 18
c20 F20 3.5 3.8 13.3
c28 F28 2.5 4 10
c31 F31 2.5 4 10
c34 F34 3.1 3.3 10.23
c35 F35 3 3.5 10.5
C36 F36 2.6 2.7 7.02
DIMENSIONSDIMENSIONS OFOF SINGLESINGLE
FOOTINGFOOTING
THICKNESSES OF FOOTINGS
Depth of footing will be controlled by wide beam shear (one way action) and punching shear (two way action).
Wide Beam Shear:
Shear cracks are form at distance “d” from the face of column, and extend to the compression zone, the compression zone will be fails due to combination of compression and shear stress.
Punching Shear:
Formation of inclined cracks around the perimeter of the concentrated load may cause failure of footing.Max, formation of these cracks occurred at distance “d\2” from each face of he column.
THICKNESSES OF SINGLE FOOTINGS
column Footing d(m) h(m)
c1 F1 0.32 0.4
c2 F2 0.3 0.4
c3 F3 0.32 0.4
c4 F4 0.32 0.4
c5 F5 0.32 0.4
c6 F6 0.32 0.4
C15 F15 0.9 1
c16 F16 0.9 1
c19 F19 0.9 1
c20 F20 0.9 1
c28 F28 0.9 1
c31 F31 0.9 1
c34 F34 0.7 0.8
c35 F35 0.7 0.8
C36 F36 0.5 0.6
Steel reinforcement :
Isolated footing represented as cantilever, so the max moment occurs at the face of the column:
Ultimate moment at the face of the column (Mult) =(qult*ln2)/2 Mn =Mu\Φ , where, Φ=0.9 Mn =Rnbd2 ρ = 1\m(1-( 1-2mRn\ fy ).5) WHERE ρ: Steel ratio m= fy\0.85 f′c As = ρbd
single footing reinforcement: Footing Reinforcement in short
direction/cmReinforcement in
long direction/cm
F1 1ø14/21 1ø16/27
F2 1ø14/20 1ø16/28
F3 1ø14/20 1ø16/28
F4 1ø14/21 1ø16/27
F5 1ø14/21 1ø14/27
F6 1ø14/21 1ø16/27
F15 1ø18/10 1ø18/12
F16 1ø18/12 1ø18/12
F19 1ø18/13 1ø18/13
F20 1ø16/11 1ø16/11
F28 1ø16/11 1ø18/10
F31 1ø16/11 1ø18/10
F34 1ø14/10 1ø16/12
F35 1ø14/10 1ø16/12
F36 1ø14/12 1ø14/12
DESIGN OF COMBINED FOOTING column footing
C7,C8 Fc1
C23,C24 Fc4
C26,C27 Fc5
C29,C30 Fc6
C32,C33 Fc7
SUMMARY OF DIMENSIONS
Footing B(m) L(m) d(m) h(m)
Fc1 2.5 6.8 .7 .8
Fc2 2.5 11.5 .7 .8
Fc3 4.5 6 1.4 1.5
Fc4 2 7 1.4 1.5
Fc5 2 7 1.4 1.5
Fc6 3 9 1.4 1.5
Fc7 3 9 1.4 1.5
Steel Reinforcement (Flexural)
By using sap program to get the maximum negative and positive Moment Mn =Mu\Φ , where, Φ=0.9 Mn =Rnbd2 As = ρbd
Steel reinforcement for Fc2
The figure below show bending moment in x-direction using SAP2000:
Mu =93.175ton.m Mn =93.175\.9 =103.52ton.mMn =Rnbd2Rn =21.1kg\cm2Ρ =.0054As =37.8cm2 Use 1 Φ16\12cm
The figure below show bending moment in y-direction using SAP2000:
Steel reinforcement for Fc2
Mu =144.822 ton.m Mn =144.822/ 0.9160.913ton .mMn =Rnbd2Rn=20.1kg\cm2Ρ=.005As =37.5cm2 Use 1 Φ16\12cm
Footing # Reinforcement in x direction
Reinforcement in y direction
Fc 1 1Ф16/12cm 1Ф16/12cm
Fc2 1Ф22/10cm 1Ф18/10cm
Fc 3 1Ф22/10cm 1Ф18/10cm
Fc 4 1Ф22/10cm 1Ф32/10cm
Fc 5 1Ф22/10cm 1Ф32/10cm
Steel reinforcement for Combined footing
Mat foundation Design
In this project the mat foundation was designed using Sap2000 with the following data: ( fc= 240 kg \cm2,
fy= 4200 kg\cm2 )
Calculating the Thickness for mat
The thickness of mat foundation was calculated using check for punching in the next calculation . (the most critical for determining the thickness for mat in the punching shear )To calculate the thickness , it was used the next equation:
Pu = .75*1.06(fc).5 *bo*d
Where :Pu : the load at the column bo: parameter of the bunching area d: thickness of the mat foundation
for mat foundation 1which include (col 21,22,25)
Col 21 has the critical load ,Pu = 377.29 ton377.29*1000 = .75*1.06*(240).5*(2(d+50)+(2(d+70))*dd = 80 cm
Design of mat foundation using sap 2000
Deflection shape When we do the analysis using sap 2000 it was found that the maximum settlement was equal to 0.0055 m
Reinforcement reinforcement in x directionwe take the maximum moment at the face of columnsand the maximum between the columns.Then ,the area of reinforcement will calculate by theEquation: As =p*b*d
1)at the face of column Mu =123 ton .mp= 0.0054As = 0.0054 *100*80As = 43 cm2 use 10Ф25 mm/m
2)between the columnsMu = 40 ton.mP =0.0016˂0.0033So use pmin = 0.003As=26.4 cm2 use 10Ф18 mm/m
reinforcement in y direction
1)at the face of columnMu = 75 ton.mρ= 0.0032 ˂ 0.0033
use ρ min for all the zone.
As = ρ * b * d = 0.0033 * 100 * 80 = 26.4 cm2Use 10 Ф 18 mm / m
secondary reinforcement (Negative moment) the max. moment equals to 20 ton.m
Ρ = 0.0015 ˂ 0.0033use ρ min for all the zone.As = ρ * b * d = 0.0033 * 100 * 80 = 26.4 cm2Use 10 Ф 18 mm / m
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