Step 1: Understanding Limit State Design (LSD).
In limit state design, partial safety factors are applied to material strengths to account for variability, uncertainties, and ensure safety.
Step 2: IS 456:2000 provisions.
According to IS 456:2000, the recommended partial safety factors are:
- For concrete: \(\gamma_{m} = 1.5\)
- For steel: \(\gamma_{m} = 1.15\)
Step 3: Why not other options?
- (B) 1.67 and 1.5: These were used in working stress method, not LSD.
- (C) 3 and 1.5: Not relevant to RCC design.
- (D) 1.5 and 1.2: Incorrect values for LSD.
Step 4: Conclusion.
Thus, the partial safety factors for concrete and steel are \(\,1.5 \,\text{and}\, 1.15\).
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: