Two columns 50 cm × 50 cm and 60 cm × 60 cm carry 80 tonnes and 120 tonnes of loads respectively. The centre to centre distance between columns is 5.00 metres. The permissible bearing capacity of the soil is 20 t/m2. If the footing is not to project more than 25 cm beyond the outside of the smaller column, pick up the correct design parameters of the footing from the following: A. Distance of C.G. of the loads from the smaller column = 3.00 m B. The length of the foundation slab = 7.00 m C. Area of footing slab = 11.00 m2 D. Width of the footing = 1.57 m E. All the above

Distance of C.G. of the loads from the smaller column = 3.00 m
The length of the foundation slab = 7.00 m
Area of footing slab = 11.00 m2
Width of the footing = 1.57 m E. All the above

The correct answer is E. All the above.

The distance of the C.G. of the loads from the smaller column is 3.00 m. This can be calculated by taking the average of the two column centers, which is 2.50 m, and then adding half of the column width, which is 0.25 m.

The length of the foundation slab is 7.00 m. This can be calculated by taking the center-to-center distance between the columns, which is 5.00 m, and then adding twice the width of the footing, which is 0.50 m.

The area of the footing slab is 11.00 m2. This can be calculated by multiplying the length of the foundation slab by its width, which is 7.00 m by 1.57 m.

The width of the footing is 1.57 m. This can be calculated by dividing the area of the footing slab by its length, which is 11.00 m2 by 7.00 m.

The following is a brief explanation of each option:

  • Option A: The distance of C.G. of the loads from the smaller column is 3.00 m. This can be calculated by taking the average of the two column centers, which is 2.50 m, and then adding half of the column width, which is 0.25 m.
  • Option B: The length of the foundation slab is 7.00 m. This can be calculated by taking the center-to-center distance between the columns, which is 5.00 m, and then adding twice the width of the footing, which is 0.50 m.
  • Option C: The area of the footing slab is 11.00 m2. This can be calculated by multiplying the length of the foundation slab by its width, which is 7.00 m by 1.57 m.
  • Option D: The width of the footing is 1.57 m. This can be calculated by dividing the area of the footing slab by its length, which is 11.00 m2 by 7.00 m.

I hope this helps!