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Task 2.1

Geotechnics: The bearing Capacity of the shallow foundation is calculated by using the Terzaghi equation of soil mechanics which is given by the following expression(Chenglieu,2008):

Geotechnics: Using the table for the value of   ,,  for clayey soil where c>0 and ɸ = 0(Chenglieu,2008 & Bowels,2010) the vaues are

= 5.14

= 1.0

= 0

For Shallow Foundation Case

For Soil Zone A (Development Area 1)

Geotechnics:

Load Data  = 400 to 800 kN

Average Load = 600 kN

Wall load = 65 to 80 kN/m

Average Wall load = 72.5 kN/m

Cu = 65 to 90 kN/m2 (For Firm Clay Soil)

Cu avg =77.5 kN/m2      (For Firm Clay Soil)

Cu  = 125 to 200 kN/m2 (For Stiff to very Stiff  Clay Soil)

Cu avg =162.5 kN/m2      (For Stiff to very Stiff Clay Soil)

γ = 18.86 kN/m3 (For Clayey Soil)

Depth of Foundation = D = 2 m

Area of Foundation = A = Required

Factor of Safety = FS = 3

By substituting the given values in the above equation we get:

C =                                                     (1-2)

By substituting the given values in the above equation we get:

q = 2C

qult Firm Clay  = 2*77.5 = 155 kN/m2

q = Q/A

A = Q/q

A1 = 600/155 = 3.87 = 4

Length of Footing = 2m

Breadth of Footing = 2m

qall Firm Clay = 77.5*5.14 + 18.86*2*1.0 = 436.07/3 = 145.36 kN/m2

 

qult Stiff to very Stiff Clay  = 2*162.5 = 325 kN/m2

Geotechnics

A2 = 600/325 = 1.85m2  = 2

For Zone A Average Area of Footing =  = 3m X 3m

qall Stiff to very Stiff Clay   = 162.5*5.14 + 18.86*2*1 = 872.97/3 = 291 kN/m

Average allowable  Bearing Capacity for Zone A = (145.36 +291)/2 = 218 kN/m2

 

For Soil Zone A (Development Area 2)

Load Data  = 1000 to 2500 kN

Maximum Load = 2500 kN

Cu = 65 to 90 kN/m2 (For Firm Clay Soil)

Cu avg =77.5 kN/m2      (For Firm Clay Soil)

Cu  = 125 to 200 kN/m2 (For Stiff to very Stiff  Clay Soil)

Cu avg =162.5 kN/m2      (For Stiff to very Stiff Clay Soil)

γ = 18.86 kN/m3 (For Clayey Soil)

Depth of Foundation = D = 2 m

Area of Foundation = A =  Required

Factor of Safety = FS = 3

By substituting the given values in the above equation we get:

C =                                                     (1-2)

By substituting the given values in the above equation we get:

q = 2C

qult Firm Clay  = 2*77.5 = 155 kN/m2

q = Q/A

A = Q/q

A1 = 2500/155 = 16m2

Length of Footing = 4m

Breadth of Footing = 4m

qall Firm Clay = 77.5*5.14 + 18.86*2*1.0 = 436.07/3 = 145.36 kN/m2

 

qult Stiff to very Stiff Clay  = 2*162.5 = 325 kN/m2

 

A2 = 2500/325 = 9m2

For Zone A Average Area of Footing =  = 4m X 4m

qall Stiff to very Stiff Clay   = 162.5*5.14 + 18.86*2*1 = 872.97/3 = 291 kN/m

Average allowable  Bearing Capacity for Zone A = (145.36 +291)/2 = 218 kN/m2

 

For Soil Zone A (Development Area 3)

 

Wall load = 30 to 50 kN/m

Average Wall load = 40 kN/m

Cu = 65 to 90 kN/m2 (For Firm Clay Soil)

Cu avg =77.5 kN/m2      (For Firm Clay Soil)

Cu  = 65 to 90 kN/m2 (For Stiff to very Stiff  Clay Soil)

Cu avg =77.5 kN/m2      (For Stiff to very Stiff Clay Soil)

γ = 18.86 kN/m3 (For Clayey Soil)

Depth of Foundation = D = 2 m

Average Area of Foundation  = 2m X 2m