Complex Stress · Strength of Materials Or Solid Mechanics · GATE CE

The three-dimensional state of stress at a point is given by $$\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{pmatrix} \text{ MPa...

Stresses acting on an infinitesimal soil element are shown in the figure (with $$\sigma$$z > $$\sigma$$x). The major and minor principal stresses a...

Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $${\sigma _n}$$ is _____$$MPa.$$...

For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: ...

If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $$p,$$ then the maximum ...

The major and minor principal stresses at a point are $$3MPa$$ and $$-3MPa$$ respectively. The maximum shear stress at the point is

Consider the following statements: $$1.$$ On a principal plane, only normal stress acts $$2.$$ On a principal plane, both normal and shear stresses ac...

An axially loaded bar is subjected to a normal stress of $$173$$ $$MPa.$$ The maximum shear stress in the bar is

Mohr's cicle for the state of stress defined by $$\left[ {\matrix{ {30} & 0 \cr 0 & {30} \cr } } \right]$$ $$MPa$$ is a circle wit...

The components of strain tensor at a point in the plane strain case can be obtained by measuring longitudinal strain in following directions.

The symmetry of stress tensor at a point in the body under equilibrium is obtained from

A small element at the critical section of component is in a state of stress with the two principal stresses being $$360$$ $$MPa$$ and $$140$$ $$MPa...

Find the correct match between the plane stress states and the Mohr’s circles....

In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5 un...

A 2D thin plate with modulus of elasticity, 𝐸 = 1.0 N/m2, and Poisson’s ratio, 𝜇 = 0.5, is in plane stress condition. The displacement field in the ...

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum...

For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa. The shear stress $$\tau $$ is ...

For the state of plane stress (in $$MPa$$) shown in the figure below, the maximum shear stress (in $$MPa$$) is ___________ ...

The state of $$2D$$-stress at a point is given by the following matrix of stresses: $$$\left[ {\matrix{ {{\sigma _{xx}}} & {{\sigma _{xy}}} \...

In a two dimensional analysis, the state of stress at a point is shown below. If $$\sigma = 120\,\,MPa$$ and $${\tau _{xy}} = 70\,\,MPa,\,\,{\sigm...

If principle stresses in two-dimensional case are $$\left( - \right)\,\,10\,MPa$$ and $$20$$ $$MPa$$ respectively, then maximum shear stress at th...

The state of two dimensional stresses acting on a concrete lamina consists of a direct tensile stress, $${\sigma _x} = 1.5\,\,N/m{m^2},$$ and shear s...

Which of the following Mohr's circles shown below qualitatively and correctly represents the state of plane stress at a point in a beam above the neut...

The magnitude of the only shear stresses acting at a point in plane stress situation is $$7.5\,N/n{m^2}.$$ The magnitudes of the principle stresses wi...