Step 1: Analyze each structure.
- (A) Truss → Members mainly carry axial force → Structural behavior: Shortening (III).
- (B) Beam → Designed to resist bending → Structural behavior: Bending (I).
- (C) Column → Prone to buckling → Structural behavior: Buckling (IV).
- (D) Shaft → Transmits torque → Structural behavior: Twisting (II).
Step 2: Matching.
\[
A - III, B - I, C - IV, D - II
\]
Step 3: Conclusion.
The correct match corresponds to option (4).
For the frame shown in the figure below, the maximum moment in the left column shall be (Assuming Moment of Inertia (I) of all the members is same):
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: