Question

In: Civil Engineering

A rectangular footing 2.0 m by 3.0 m is built in a homogeneous bed of sand...

A rectangular footing 2.0 m by 3.0 m is built in a homogeneous bed of sand of having bulk unit weight 20 kN/m3 and saturated unit weight 21 kN/m3 with an angle of shearing resistance of (30+Y)o. The depth of the base of footing is 1.8 m below the ground surface and water table is located at a depth of 1.0m below the base of the foundation. Consider the factor of safety of 3. Use Terzaghi’s Analysis

  1. Justify the adequacy of the footing if the proposed design load on the foundation is 1500 kN.                                                                                                                             
  1. Calculate the safe load can be carried by the footing if the water table is located at a depth 1.0 m below the ground Level.                                                                               

     y=2

Solutions

Expert Solution

Answer a) To check the adequacy of the given footing for design load lets us draw the diagram from the given data as shown below.

Calculation of safe bearing capacity to compare with the load for adequacy is shown below

Answer b ) safe load that the footing can carry when the water table is present above the base of the footing is given by

= safe bearing capacity * area of the footing

= 308.92*2*3

=1853.52KN


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