Recent questions tagged numerical-answers

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 ...

A $1 \mathrm{~cm}^{3} \mathrm{~Si}$ cube is doped with As with a concentration of $1$ atom per $10^{9} \mathrm{~Si}$ atoms. The resistance of the doped $\mathrm{Si}$ cube...

A circular disk-shaped ceramic green body has a relative density of $50 \%$. On sintering, both the height and the diameter of the disk shrink by $20 \%$. The sintered di...

The standard electrode potential of $\mathrm{Cu}^{2+} \mid \mathrm{Cu}$ is $+0.34$ V and $\mathrm{Zn}^{2+} \mid \mathrm{Zn}$ is $-0.76$ V. For the $\mathrm{Zn}\left|\math...

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...

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 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...

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...

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...

A motorized pulley of diameter $200$ mm is used to transfer a block of mass $100$ kg from platform $1$ to platform $2$ using a ramp kept at an inclination of $30^{\circ}$...

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...

A simply supported beam of length $l=2 \mathrm{~m}$ is subjected to a concentrated moment $M=150 \mathrm{~kNm}$ at a distance $l / 2$ from the left end as shown in the fi...

In a mixing chamber hot water enters at a temperature of $80^{\circ} \mathrm{C}$ with a flowrate of $0.5 \mathrm{~kg} / \mathrm{s}$. From another entry, cold water enters...