Which of the following statements are correct?
A. Malleability is the ability of a material to absorb strain energy till the elastic limit.
B. Toughness is the ability of a material to absorb energy till the rupture.
C. Resilience is the area under the load deformation curve within the elastic limit.
D. Stress-strain diagram of highly brittle material has no plastic zone.
Choose the most appropriate answer from the options given below:
Step 1: Evaluate each statement.
- (A) Incorrect: Malleability is the ability to withstand plastic deformation under compression (hammering into sheets), not limited to elastic energy.
- (B) Correct: Toughness is the capacity to absorb energy up to fracture (entire stress-strain area).
- (C) Correct: Resilience is the elastic energy stored, i.e., the area under the stress-strain curve up to the elastic limit.
- (D) Correct: Brittle materials fracture almost immediately after the elastic limit, showing negligible/no plastic zone.
Step 2: Conclusion.
Correct set of statements = (B, C, D).
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:
The degree of static indeterminacy of the beam (as shown below) for general case of loading is:
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:
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):