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: Statement Assessment.
- (A) Incorrect: Malleability refers to plastic deformation under compression, not solely elastic energy.
- (B) Correct: Toughness is the energy absorbed until fracture, represented by the entire stress-strain area.
- (C) Correct: Resilience is the elastic energy stored, indicated by the area under the stress-strain curve up to the elastic limit.
- (D) Correct: Brittle materials fracture with minimal or no plastic deformation after exceeding the elastic limit.
Step 2: Determination.
Statements B, C, and D are correct.
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: