Recent questions tagged solid-mechanics

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is$7...

A semi-circular bar of radius $\text{R m}$, in a vertical plane, is fixed at the end $G$, as shown in the figure. A horizontal load of magnitude $\text{P kN}$ is applied ...

Consider a simply supported beam $\text{PQ}$ as shown in the figure. A truck having $100$ $\text{kN}$ on the front axle and $200$ $\text{kN}$ on the rear axle, moves from...

A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is r...

A prismatic linearly elastic bar of length $L$, cross-sectional area $A$, and made up of a material with Young’s modulus $E$, is subjected to axial tensile force as shown...

The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is...

In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure.If the shear strain $\gamma_{xy}$ at this...

A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that t...

An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain isZero$0.0010$$0.0025$$0.0050$

Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of ...

The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about...

A closed thin-walled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional mom...

For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flan...

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.By how much angle $( \theta)$ in degrees the stress e...

A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...

When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long ...

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?Maximum or minimum shear force occurs where the curvat...

The figure shows a two-hinged parabolic arch of span $L$ subjected to a uniformly distributed load of intensity $q$ per unit length.The maximum bending moment in the arch...

Consider the beam ABCD shown in the figure.For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the su...

For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:$-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-ax...

Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of inter...

Consider the singly reinforced beam shown in the figure below:At cross-section $XX$, which of the following statements is TRUE at the limit state?The variation of stress ...

A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both...

The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are r...

For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________

The first moment of area about the axis of bending for a beam cross-section ismoment inertiasection modulusshape factorpolar moment of inertia

Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the correspon...

The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______

The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are$30.33$ and $20.00$$30.33$ and $25.00$$33.33$ and $20.00$$33.33$ and $...

Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the ...

The possible location of shear centre of the channel section, shown below, is$P$$Q$$R$$S$

A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a sect...

The state of $2D$-stress at a point is given by the following matrix of stresses:$$\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = ...

The ‘plane section remains plane’ assumption in bending theory impliesstrain profile is linearstress profile is linearboth strain and strain profiles are linearshear defo...

Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. Th...

Maximum possible value of Compacting Factor for fresh (green) concrete is$0.5$$1.0$$1.5$$2.0$

As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by lo...

The creep strains arecaused due to dead loads onlycaused due to live loads onlycaused due to cyclic loads onlyindependent of loads

The effective stress friction angle of a saturated, cohesionless soil is $38^{\circ}$. The ratio of shear stress to normal effective stress on the failure plane is$0.781$...

Two series of compaction tests were performed in the laboratory on an inorganic clayey soil employing two different levels of compaction energy per unit volume of soil. W...