Questions without an upvoted answer in Solid Mechanics

At the peak (also denoted as UTS) of an engineering stress vs. engineering strain curve for ductile metal, the engineering strain is $0.2$. The corresponding true stress ...

Two axial members, namely $\text{OP}$ and $\text{OQ}$, are pin joined at $\text{O}$ as shown in the figure. A force $F$ acts at point $\text{P}$ along the positive $x$ di...

Two smooth drums each weighing $W$ and radius, $r$ are connected by a stiff rope of length, $h$ as shown in the figure. Force $F$ is applied using a massless lever (RS) o...

A rigid block of mass $m$ on a horizontal surface is connected to three springs each having spring constant $k$ as shown in the figure.Which one of the following is the C...

Which among the following options is/are CORRECT unit(s) of stress?$\mathrm{Nm}^{2}$$\text{Pa}$$\text{Nm}$$\mathrm{N} / \mathrm{m}^{2}$

A car is moving on a horizontal surface in a straight line with a constant velocity of $3 \mathrm{~m} / \mathrm{s}$. A ball is thrown vertically upwards at time $t=0$ fro...

A cart of weight $(W) 5 \mathrm{kN}$, stands on an inclined smooth surface at an angle $(\theta)$ of $45^{\circ}$ as shown in the figure. The cart is maintained in equili...

A $\text{2D}$ state of stress at a point in a body is given by $\sigma_{x x}=-40 \mathrm{~MPa}$, $\sigma_{y y}=100 \mathrm{~MPa}$ and $\tau_{x y}=50 \mathrm{~MPa}$.The ra...

Sum of the principal stresses of a $\text{2D}$ stress state $\left[\begin{array}{cc}11 & 4 \\ 4 & 5\end{array}\right]$ is $\_\_\_\_$ (in integer).

The force $(F)$ acting on the block, as shown in the figure is $2\text{N}$. The stiffness of the spring ( $k$ ) is $100 \mathrm{~N} / \mathrm{m}$.Assume that the block is...

Which one of the following options is the CORRECT absolute value of the bending moment at $\text{R}$ in the frame as shown in the figure?$0$$\mathrm{Fl}$$2 \text{Fl}$$3 \...

One column with square cross section of side $r$ and another column with rectangular cross section of breadth $p$ and width $q(<p)$ are made from the same material. Both ...

Two prismatic rods of identical lengths are designed for the same strain energy density when subjected to the same axial load. One of the rods is made of steel (Young's m...

A spring of stiffness $k$ is connected to the center of a homogeneous right circular cylinder of radius $r$ placed on a horizontal surface as shown in the figure. The cyl...

A $\text{2D}$ stress state of pure shear is shown in the figure.Which one of the following options is equivalent to the given stress state?Figures are not to scale.

The point $\text{Q}$ of a thin rigid equilateral triangular plate $\text{PQR}$ is constrained to move in a horizontal channel. Point $\text{P}$ of the same plate is const...

The bending moment diagram for a simply supported beam is piecewise linear as shown in the figure. The bending moment $M(\mathrm{x})$ at $\mathrm{x}=0.5 \mathrm{~m}$ is $...

A thin walled cylindrical container of diameter $2$ $\mathrm{m}$ and wall thickness of $2.5$ $\mathrm{cm}$ is made of steel whose Young's modulus is $200$ $\mathrm{GPa}$ ...

A solid axial bar made of steel with Young's modulus, $200$ $\mathrm{GPa}$ and Poisson's ratio, $0.3$, is subjected to uniaxial stress of $50$ $\mathrm{MPa}$.The absolute...

$\text{EFGH}$ (solid lines) is the initial configuration and $\mathrm{E}^{\prime} \mathrm{F}^{\prime} \mathrm{G}^{\prime} \mathrm{H}^{\prime}$ (dashed lines) is the defor...