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Civil Engineering · Q185

Building Construction

Engineering and GATE · Civil Engineering · question 185

Q185

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
Answer

Answer: Option E

Solution

Answer: Option E
Solution:
1. Distance of C.G. of the loads from the smaller column = 3.00 m
- The center of gravity (C.G.) of the loads is calculated based on the moment balance principle considering the load distribution.

2. The length of the foundation slab = 7.00 m
- The slab length is determined by considering the center-to-center distance between columns and the permissible projection of the footing beyond the smaller column.

3. Area of footing slab = 11.00 m2
- The total area is calculated as the total load divided by the permissible bearing capacity of the soil.

4. Width of the footing = 1.57 m
- The width of the footing is derived by dividing the area of the footing by its length.

5. All the above
- All the given options satisfy the design conditions and are correct.