Stress and Strain — Prelims Questions

A steel wire of length $L$ and cross-sectional area $A$ is stretched by a force $F$. If the length of the wire increases by $Delta L$, what is the longitudinal strain developed in the wire?

A metallic cube of side $10,\text{cm}$ has its lower face fixed. A tangential force of $100,\text{N}$ is applied to the upper face, causing it to displace by $0.1,\text{mm}$ relative to the lower face. Calculate the shear stress developed in the cube.

Which of the following statements about strain is INCORRECT?

A wire of length $3,\text{m}$ and radius $0.5,\text{mm}$ is subjected to a tensile force of $50,\text{N}$. Calculate the normal stress in the wire.

A solid sphere of volume $V$ is subjected to a uniform pressure $P$. If its volume decreases by $Delta V$, what is the volumetric strain?

A rectangular block of material has dimensions $L \times W \times H$. Its lower face is fixed, and a tangential force $F$ is applied to the upper face, causing it to displace by $Delta x$. Which expression correctly represents the shear strain?