Recent questions in Mechanics of deformable bodies

\begin{tabular}{l|l}Q.69 & The state of strain at a point in a machine component is given as \\$\varepsilon_{x x}=2.5 \times 10^{-4}, \varepsilon_{y y}=2.0 \times 10^{-4}...

\begin{tabular}{|l|l|}\hline Q.70 & A thin walled, closed cylindrical vessel of inside diameter $d$ and wall thickness $t$ \\contains a fluid under pressure $p$. The figu...

\[\text { Q. } 74\]For a plane stress problem, the principal stresses are $100 \mathrm{MPa}$ and $50 \mathrm{MPa}$. The magnitude of maximum shear stress (in $\mathrm{MPa...

\begin{tabular}{|l|l|}\hline Q.76 & A cylinder made of rubber (length $=L$ and diameter $=d)$ is inserted in a rigid \\container as shown in the figure. The rubber cylind...

\begin{tabular}{|c|}\hline \begin{tabular}{l}The state of stress at the critical location in a structure is $\sigma_{x x}=420 \mathrm{MPa}$, \\$\sigma_{y y}=100 \mathrm{M...

Q. 78The figure shows a column of rectangular cross section $100 \mathrm{~mm} \times 80 \mathrm{~mm}$. Itcarries a load of $60 \mathrm{kN}$ at a point $30 \mathrm{~mm}$ f...

\begin{tabular}{|l|l}Q.79 & Consider an electric pole with dimensions as shown in the figure. Let the end $R$ be \\subjected to a vertical force $F$. The flexural rigidit...

Q.80 A uniform cantilever beam has flexural rigidity $E I$ and length $L$. It is subjected toa concentrated force $F$ and moment $M=2 F L$ at the free end as shown. Thede...

Q. 84A thin steel plate is loaded in the $x$-y plane as shown in the figure. Take thePoisson's ratio of steel to be 0.3 and the modulus of elasticity of steel to be 200$\...

Q. 86 A slender uniform elastic rod of length $1 \mathrm{~m}$ and of solid circular cross-section of diameter $50 \mathrm{~mm}$ is originally straight. It is then loaded ...

Q. 87 Consider a solid cylindrical shaft and a hollow cylindrical shaft. Both shafts are axisymmetric and elastic, and have the same cross-sectional area. The hollow shaf...

\begin{tabular}{|l|l|}Q. 111 & \begin{tabular}{l}A copper wire upon loading instantaneously increases in length to $l$, and then \\continues to elongate gradually. Upon u...

Vickers microhardness $\text{(HV)}$ of a ductile material $\text{A}$ is higher than another ductile material $\text{B}$. Which of the following is/are true? Young's modul...

Which one of the following samples of high-purity aluminium (Al) single crystal will plastically yield at the lowest applied load under ambient conditions? Loading axis i...

Refer to the schematic shown. Two dog-bone samples, labelled 1 and 2 , of a Cualloy are tested under tension at room temperature to points "E" and "P", respectively. Subs...