A strip footing 8m wide is designed for a total settlement of 40 mm.th...
To determine the size of the strip footing required, we can use the formula:
Settlement = (q x L^2) / (8 x E x B)
where:
Settlement = 40 mm = 0.04 m
q = SBC (Safe Bearing Capacity) = 150 kN/m^2 = 150,000 N/m^2
L = length of the footing
E = modulus of elasticity of the soil
B = width of the footing
We need to solve for L, so we can rearrange the formula as follows:
L^2 = (Settlement x 8 x E x B) / q
L^2 = (0.04 x 8 x E x 8) / 150,000
L^2 = (0.256 x E x B) / 150,000
Now, let's assume a typical value for the modulus of elasticity of soil, E, is 20,000 kN/m^2, which is equivalent to 20,000,000 N/m^2. Also, B = 8m (given).
L^2 = (0.256 x 20,000,000 x 8) / 150,000
L^2 = 2.048 x 160,000 / 150,000
L^2 = 2.184
Taking the square root of both sides:
L = √2.184
L ≈ 1.48 m
Therefore, the length of the strip footing required is approximately 1.48 meters.