Recent questions tagged mechanics-of-deformable-bodies

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 ...

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 $\text{2D}$ 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).

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 $\text{2D}$ 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 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...

A rectangular plastic specimen with a cross-sectional area of $240 \mathrm{~mm}^{2}$ is subjected to tension with a force of $15000$ $\mathrm{N}$ resulting in elastic def...

In an $\textsf{FCC}$ crystal with lattice parameter $a$, consider the reaction of two leading partial dislocations, $\text{AB}$ and $\text{CD}$, at the line of intersecti...

Consider a spring-mass system with mass $m$ and spring stiffness $k$ as shown in the illustration. At time $t=0$, the mass is displaced by $P$ units and the velocity of t...

​​​​The Mohr's circle corresponding to an infinitesimal element is shown in the figure. The plane $\text{PQ}$ in the infinitesimal element, at an angle of $\theta$ from t...

The two-dimensional state of stress, in an infinitesimal element, is given by$\sigma_{x x}=800 \mathrm{MPa}, \sigma_{x y}=300 \mathrm{MPa}$ and $\sigma_{y y}=0 \mathrm{MP...

The natural frequency of a spring-mass system is $10 \: \mathrm{rad} / \mathrm{s}$.Which of the following statements is/are $\textsf{CORRECT}$?The mass is $100 \:\mathrm{...

Consider a beam with a square box cross-section as shown in the figure. The outer square has a length of $10 \: \mathrm{mm}$. The thickness of the section is $1 \: \mathr...