Answer / Ravindra Kumar Yadav

a) To design a cantilever slab with an overhang of 1.2 m, you can use the Rankine-Grashof method. First, determine the length of the slab (L), which is the sum of the actual slab width and the overhang:
L = 4.75 m + 1.2 m = 5.95 m

Now, calculate the total load per unit length (W):
W = Live load + Self-weight
W = 2000 N/m^2 + 2400 kg/m^2 * 9.81 m/s^2 / 1000 kg/kg = 2000 N/m^2 + 23.73 kN/m
W = 25.73 kN/m

Next, determine the moment at the free end (M):
M = W * (L^2) / 8
M = 25.73 kN/m * (5.95 m)^2 / 8 = 106.6 kNm

Now, choose a suitable section for the cantilever slab and check if it can resist the moment calculated above.

b) To design the slab over a room with dimensions 4.75 m x 4.75 m, follow these steps:
1. Calculate the total load per unit area (W):
W = Live load + Self-weight
W = 300 kg/m^2 + 2400 kg/m^2 * 9.81 m/s^2 / 1000 kg/kg = 337.3 kN/m^2
2. Use the Rankine-Grashof method to determine the moment at any point along the slab:
M = W * (L - x)^2 / 8
where L is the total length of the slab and x is the distance from the support.
The maximum moment occurs at the support, so calculate it as follows:
M_max = W * (L - 0)^2 / 8
M_max = 337.3 kN/m^2 * (4.75 m)^2 / 8 = 128.6 kNm

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