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Foundations: 
 The foundations of houses must carry 
the dead loads (weight of the 
structure) of the walls, roof and floors 
etc 
 Introduction to foundation types: 
strip foundation: 
 The strip foundation is basically a 
strip, or ribbon, of in situ concrete running 
under all the load bearing walls. 
 
The foundation size can be determined by 
referring to the Building Regulations
Piled foundations 
In clay and other cohesive soils piles can be 
used to distribute the loads into the ground 
through the friction forces along the length of the 
pile sides 
Piles are usually made from insitu or 
precast concrete but can also be steel and 
timber 
Raft foundations 
Rafts are an expensive form of 
construction, probably the most expensive of 
the three, and are used where only a very 
low load can be applied, for example, on soft 
or variable ground
Concrete: 
House foundations are invariably 
formed in concrete. It is available in a 
range of strengths and is usually brought 
onto site ready-mixed as, and when, 
required. 
It is a mixture of several constituents 
which behaves as a single material. In its 
simplest form concrete comprises cement, 
aggregate and water
 The major constituent by weight in 
concrete is aggregate - stone with a range 
of particle size from 40mm down to 
0.1mm. The aggregate is a mixture of: 
 coarse aggregate - naturally occurring 
gravel or crushed rock 
 fine aggregate - sand or crushed rock. 
 The aggregate is bound together by 
cement paste, a mixture of cement and 
water
 Properties 
 The properties of the cement paste are 
extremely important and largely 
determine the properties of the concrete: 
 it must be fluid enough for some time 
after mixing to allow the concrete to be 
placed and
 it must then set and gain strength so that it 
binds the aggregates together to make a 
strong material 
 The mechanism by which cement sets and 
hardens depends on the type of cement, 
usually due to a chemical reaction 
between the cement and the mixing water 
(eg Portland cement)
Reinforced concrete contains steel 
reinforcing rods, usually 20-30mm in 
diameter. These rods are positioned where 
the principal tensile stresses will occur in 
the structure, and then the concrete is 
poured and compacted around the 
reinforcement. Reinforced concrete is 
therefore a composite material, where the 
concrete takes the compressive forces and 
the reinforcing steel takes the tensile forces.
 Strip Foundations
 Strip foundations, the most common 
form, can either be 'traditional' or trench-fill 
(see below). They are usually 500 to 
700mm wide and as deep as necessary 
for the type of ground 
 In weaker ground the foundation has to 
be wider than 700mm to spread the 
building load over an adequate area of 
ground.
 Reasons for choosing traditional strip 
foundations: 
 Proven method, most builders are familiar with 
traditional strip foundations 
 Mistakes (eg, setting out) are not too 
expensive to rectify once concrete is poured 
 Builder may want work to keep bricklayer 
occupied 
 Services will mostly cross the wall above the 
concrete - so not an immediate problem 
 Cheaper than trench fill for wider foundations
4.1DESIGN OF FOOTING FOR FOUNDATION 
 Load on the column ()= 171.975 KN 
= 171.975 x 103 N 
 Self wt. of footing = 15% of column load 
= 15/100 x 171.975 
= 25.79KN 
Factored load = 25.79 x 1.5 
= 38.685 KN 
 Total load =171.975+38.685 
=210.66KN
[Assume the soil] 
 Red soil 
Safe bearing capacity of the soil = 
200KN/m2 
Area of the footing req. = 210.66/200 = 1.053 
m2
Assuming Square footing = B = A = 
1.053 
= 1.026m 
Say = 1.2m 
Hence provide size of footing = 1.2 x 1.2m
Up word pressure intensity (P)
P =load on the column/area of footing
 Depth of footing from b.m consideration: 
 Critical section B.M. = B-b/2 
 Here l = 1.2m 
 B = 0.23m 
 B.M = 1.2 – 0.23/2 = 0.485 m (or) 485mm
B.m = 119.42 x 103 x 1.2 x 0.4852/2 
= 16.854 x 103 N-m 
= 16.854 x 106 N-m
Using working stress method: 
Qbd2 = B.m 
Use m20 grade concrete = Q = 0.88 
Fe 415 grade steel = st = 230 N/mm2 
B = 0.23m = 230 mm
 d = 288.566 mm 
 Let provide 10mm  bars 
 In the form of mesh with a clear 40mm
Effective cover = 40 + 10 + 10/2 = 55mm 
 Overall depth of footing: 
 = Effective depth + effective cover 
 = 288.566 + 55 = 343.566mm 
 Hence provided overall depth of footing = 
360mm 
 Actual effective depth = 360 – 55 = 305 
mm 
 d = overall depth – effective cover 
 d = 305 mm
 Check for shear: 
 Depth for punching shear consideration 
 Punching load = column load – upward 
pressure intensity on column area 
 = 171.975 x 103 – 119.42 x 103 x (0.23 x 
0.23) 
 = 171975 – 6317.318 
 = 165.65 x 103 N 
 Ast = 2654.47 N 
 = 265.47/78.53 = 3.380 No. Say 4 No. 
  provide 4 No. of 10 mm  bars in both 
directions
Check for shear force:
 Check for one way shear: 
 The critical section for one way shear is 
taken at a distance equal to the effective 
depth from the column face (i.e. let depth 
of footing at edge = 200mm) 
 The overall depth at critical section 
= 278.247
 The effective depth at critical section 
 d1 = 278.247 – 55 (effective cover) 
 d1 = 223.247mm 
 Shear force at critical section = S1 
 S1 = Upward pressure x length of 
footing x shear constant 
 (Where shear constant = 0.144 as per 
code) 
 S1 = 119.42 x 103 x 1.2 x 0.144 
 S1 = 20.635 x 103 N
Breadth of the footing at the top of the 
vertical section is:
 485 – 305 = 180mm 
 Cover = 20mm 
 b1 = 230 – 20 – 20 = 190mm
Shear Areas q1 = 
q1= 0.486 
Shear stress is less than 1.0 
So section is safe.
 Check for two way shear: 
 The critical section for two ways Shear at the 
distance of half of the effective depth from the 
force of the column all around overall depth of the 
footing at a distance d/2. 
 d/2 = 305/2 = 152.5 mm from the column face. 
 Permissible punching shear stress is 1 N/mm2 
 Equating the punching resistance to the punching 
load 
4 x 230 x D x l = 165.65 7 x 103N
Hence provide overall depth of 360mm 
B.M Consideration for steel required: 
Where B.m = 16.854 x 106 N-mm 
J = 0.905 
St = 230 N/mm2 
d=305mm [Actual effective depth]
Ast = 265.47mm2 
Provide 10mm  bars 
No. of bars = Ast / A 
l1 = d/2 + 180 = 305/2 + 180 = 332.5mm 
= 332.5/2 x 160 = 109.69mm 
x=x1 + 200 = 109.69 + 200 = 309.69mm 
effective depth of the critical section 
d1 = x – effective cover 
d1 = 309.69 – 55 = 254.69mm
Critical perimeter: 
= 4 x (dimension of column + effective depth) 
b1=4 x (230 + 305) 
b1=2140 mm 
shear force at critical section = S1 
S1= upward pressure x (l2 – dimension of column2) 
S1= 119.42 x 103 x (1.22 – 0.232) 
S1= 165.64 x 103N 
Ks = 0.5 + Bc = 0.5 + 1 = 1.5 
Ks = should not be taken greater than 1.0
So  Ks = 1.0 
1 = Ks x qc 
Permissible Shear Stress = qc 
= 1.0 x 0.44 = 0.44 N/mm2 
q1 = 0.44 N/mm2 
c 
shear stress at critical section 
q= S1/b1 x d1 = 165.64 x 103 /2140 x 254.69 
v q= 0.30 N/mm2 
v q> qc v 
0.44 > 0.30 
Hence the section is safe.
DESIGN OF FOOTING

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footing design

  • 1. Foundations:  The foundations of houses must carry the dead loads (weight of the structure) of the walls, roof and floors etc  Introduction to foundation types: strip foundation:  The strip foundation is basically a strip, or ribbon, of in situ concrete running under all the load bearing walls.  The foundation size can be determined by referring to the Building Regulations
  • 2. Piled foundations In clay and other cohesive soils piles can be used to distribute the loads into the ground through the friction forces along the length of the pile sides Piles are usually made from insitu or precast concrete but can also be steel and timber Raft foundations Rafts are an expensive form of construction, probably the most expensive of the three, and are used where only a very low load can be applied, for example, on soft or variable ground
  • 3. Concrete: House foundations are invariably formed in concrete. It is available in a range of strengths and is usually brought onto site ready-mixed as, and when, required. It is a mixture of several constituents which behaves as a single material. In its simplest form concrete comprises cement, aggregate and water
  • 4.  The major constituent by weight in concrete is aggregate - stone with a range of particle size from 40mm down to 0.1mm. The aggregate is a mixture of:  coarse aggregate - naturally occurring gravel or crushed rock  fine aggregate - sand or crushed rock.  The aggregate is bound together by cement paste, a mixture of cement and water
  • 5.  Properties  The properties of the cement paste are extremely important and largely determine the properties of the concrete:  it must be fluid enough for some time after mixing to allow the concrete to be placed and
  • 6.  it must then set and gain strength so that it binds the aggregates together to make a strong material  The mechanism by which cement sets and hardens depends on the type of cement, usually due to a chemical reaction between the cement and the mixing water (eg Portland cement)
  • 7.
  • 8. Reinforced concrete contains steel reinforcing rods, usually 20-30mm in diameter. These rods are positioned where the principal tensile stresses will occur in the structure, and then the concrete is poured and compacted around the reinforcement. Reinforced concrete is therefore a composite material, where the concrete takes the compressive forces and the reinforcing steel takes the tensile forces.
  • 10.
  • 11.  Strip foundations, the most common form, can either be 'traditional' or trench-fill (see below). They are usually 500 to 700mm wide and as deep as necessary for the type of ground  In weaker ground the foundation has to be wider than 700mm to spread the building load over an adequate area of ground.
  • 12.  Reasons for choosing traditional strip foundations:  Proven method, most builders are familiar with traditional strip foundations  Mistakes (eg, setting out) are not too expensive to rectify once concrete is poured  Builder may want work to keep bricklayer occupied  Services will mostly cross the wall above the concrete - so not an immediate problem  Cheaper than trench fill for wider foundations
  • 13. 4.1DESIGN OF FOOTING FOR FOUNDATION  Load on the column ()= 171.975 KN = 171.975 x 103 N  Self wt. of footing = 15% of column load = 15/100 x 171.975 = 25.79KN Factored load = 25.79 x 1.5 = 38.685 KN  Total load =171.975+38.685 =210.66KN
  • 14. [Assume the soil]  Red soil Safe bearing capacity of the soil = 200KN/m2 Area of the footing req. = 210.66/200 = 1.053 m2
  • 15. Assuming Square footing = B = A = 1.053 = 1.026m Say = 1.2m Hence provide size of footing = 1.2 x 1.2m
  • 16. Up word pressure intensity (P)
  • 17. P =load on the column/area of footing
  • 18.  Depth of footing from b.m consideration:  Critical section B.M. = B-b/2  Here l = 1.2m  B = 0.23m  B.M = 1.2 – 0.23/2 = 0.485 m (or) 485mm
  • 19.
  • 20. B.m = 119.42 x 103 x 1.2 x 0.4852/2 = 16.854 x 103 N-m = 16.854 x 106 N-m
  • 21. Using working stress method: Qbd2 = B.m Use m20 grade concrete = Q = 0.88 Fe 415 grade steel = st = 230 N/mm2 B = 0.23m = 230 mm
  • 22.  d = 288.566 mm  Let provide 10mm  bars  In the form of mesh with a clear 40mm
  • 23.
  • 24. Effective cover = 40 + 10 + 10/2 = 55mm  Overall depth of footing:  = Effective depth + effective cover  = 288.566 + 55 = 343.566mm  Hence provided overall depth of footing = 360mm  Actual effective depth = 360 – 55 = 305 mm  d = overall depth – effective cover  d = 305 mm
  • 25.  Check for shear:  Depth for punching shear consideration  Punching load = column load – upward pressure intensity on column area  = 171.975 x 103 – 119.42 x 103 x (0.23 x 0.23)  = 171975 – 6317.318  = 165.65 x 103 N  Ast = 2654.47 N  = 265.47/78.53 = 3.380 No. Say 4 No.   provide 4 No. of 10 mm  bars in both directions
  • 26. Check for shear force:
  • 27.  Check for one way shear:  The critical section for one way shear is taken at a distance equal to the effective depth from the column face (i.e. let depth of footing at edge = 200mm)  The overall depth at critical section = 278.247
  • 28.
  • 29.  The effective depth at critical section  d1 = 278.247 – 55 (effective cover)  d1 = 223.247mm  Shear force at critical section = S1  S1 = Upward pressure x length of footing x shear constant  (Where shear constant = 0.144 as per code)  S1 = 119.42 x 103 x 1.2 x 0.144  S1 = 20.635 x 103 N
  • 30.
  • 31. Breadth of the footing at the top of the vertical section is:
  • 32.  485 – 305 = 180mm  Cover = 20mm  b1 = 230 – 20 – 20 = 190mm
  • 33. Shear Areas q1 = q1= 0.486 Shear stress is less than 1.0 So section is safe.
  • 34.  Check for two way shear:  The critical section for two ways Shear at the distance of half of the effective depth from the force of the column all around overall depth of the footing at a distance d/2.  d/2 = 305/2 = 152.5 mm from the column face.  Permissible punching shear stress is 1 N/mm2  Equating the punching resistance to the punching load 4 x 230 x D x l = 165.65 7 x 103N
  • 35. Hence provide overall depth of 360mm B.M Consideration for steel required: Where B.m = 16.854 x 106 N-mm J = 0.905 St = 230 N/mm2 d=305mm [Actual effective depth]
  • 36. Ast = 265.47mm2 Provide 10mm  bars No. of bars = Ast / A 
  • 37.
  • 38. l1 = d/2 + 180 = 305/2 + 180 = 332.5mm = 332.5/2 x 160 = 109.69mm x=x1 + 200 = 109.69 + 200 = 309.69mm effective depth of the critical section d1 = x – effective cover d1 = 309.69 – 55 = 254.69mm
  • 39. Critical perimeter: = 4 x (dimension of column + effective depth) b1=4 x (230 + 305) b1=2140 mm shear force at critical section = S1 S1= upward pressure x (l2 – dimension of column2) S1= 119.42 x 103 x (1.22 – 0.232) S1= 165.64 x 103N Ks = 0.5 + Bc = 0.5 + 1 = 1.5 Ks = should not be taken greater than 1.0
  • 40. So  Ks = 1.0 1 = Ks x qc Permissible Shear Stress = qc = 1.0 x 0.44 = 0.44 N/mm2 q1 = 0.44 N/mm2 c shear stress at critical section q= S1/b1 x d1 = 165.64 x 103 /2140 x 254.69 v q= 0.30 N/mm2 v q> qc v 0.44 > 0.30 Hence the section is safe.
  翻译: