GATE ME
Strength of Materials
Complex Stresses
Previous Years Questions

## Marks 1

The state of stress at a point is $${\sigma _x} = {\sigma _y} = {\sigma _z} = {\tau _{xz}} = {\tau _{zx}} = {\tau _{yz}} = {\tau _{zy}} = 0$$ and $${\... The state of stress at a point on an element is shown in figure (a). The same state of stress is shownin another coordinate system in figure (b). ... A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is A thin plate of uniform thickness is subject to pressure as shown in the figure below Under the assumption of plane stress, which one of the follow... The state of plane-stress at a point is given by$${\sigma _x}\,\, = 200$$MPa,$${\sigma _x}\,\, = 100$$MPa and$${\tau _{xy}} = 100$$MPa. The max... If the principal stresses in a plane stress problem are$${\sigma _1}= 100$$MPa,$${\sigma _2}= 40$$MPa, the magnitude of the maximum she... The figure shows the state of stress at a certain point in a stressed body. The magnitudes of normal stresses in the$$x$$and$$y$$directions are$$...
If the two principal strains at a point are 1000 $$\times$$ 10-6 and -600 $$\times$$ 10-6, then the maximum shear strain is
A cylindrical elastic body subjected to pure torsion about its axis develops:
An elastic body is subjected to a tensile stress $$X$$ in a particular direction and a compressive stress $$Y$$ in its perpendicular direction. $$X$$ ...

## Marks 2

A rectangular region in a solid is in a state of plane strain. The $$(x,y)$$ coordinates of the corners of the undeformed rectangle are given by $$P(0... In a plane stress condition, the components of stress at a point are$${\sigma _x} = 20$$MPa,$${\sigma _y} = 80$$MPa and$${\tau _{xy}} = 40$$MPa,... The state of stress at a point under plane stress condition is$${\sigma _{xx}} = 40\,$$MPa,$${\sigma _{yy}} = 100\,$$MPa &$${\tau _{xy}} = 4...
A two dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is $$1$$ unit. Radius of the Mohr's circle, cha...
A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It further subjected to a torque of 10 KN-m. The maximum principa...
The Mohr's circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear stress theory for yieldin...
A shaft subjected to torsion experiences a pure shear stress $$\tau$$ on the surface. The maximum principal stress on the surface which is at $$45$$0...
The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 MPa on the positive normal stre...
The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 MPa on the positive normal stre...
At a point in a stressed body the state of stress on two planes $$45$$0 apart is as shown below. Determine the two principal stresses ...
The three - dimensional state of stress at a point is given by: \$\left[ \sigma \right] = \left[ {\matrix{ {30} & {10} & { - 10} \cr ...
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