Recent questions in Solid Mechanics

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...

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...

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

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 $...

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

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} = ...

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...

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

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...

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

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

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...

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$0.781$...

The ratio of the theoretical critical buckling load for a column with fixed ends to that of another column with the same dimensions and material, but with pinned ends, is...

The following statements are related to bending of beams:The slope of the bending moment diagram is equal to the shear force.The slope of the shear force diagram is equal...

The total horizontal and vertical stresses at a point X in a saturated sandy medium are $170$ kPa and $300$ kPa, respectively. The static pore-water pressure is $30$ kPa....

A fillet weld is simultaneously subjected to factored normal and shear stresses of $120$ MPa and $50$ MPa, respectively. As per $\text{ IS }800:2007$, the equivalent stre...

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure.The Young'...

In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa,...