GATE ME

Complex Stresses

Strength of Materials

(Past Years Questions)

Marks 1

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The state of stress at a point is $${\sigma _x} = {\sigma _y} = {\sigma _z} = {\tau _{xz}} = {\tau _{zx}} = {\tau _{yz}}...
GATE ME 2017 Set 2
The state of stress at a point on an element is shown in figure (a). The same state of stress is shownin another coordin...
GATE ME 2016 Set 3
A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the...
GATE ME 2016 Set 2
A thin plate of uniform thickness is subject to pressure as shown in the figure below Under the assumption of plane s...
GATE ME 2014 Set 2
The state of plane-stress at a point is given by $${\sigma _x}\,\, = 200$$ MPa, $${\sigma _x}\,\, = 100$$ MPa and $${\t...
GATE ME 2010
If the principal stresses in a plane stress problem are $${\sigma _1}$$ $$= 100$$ MPa, $${\sigma _2}$$ $$= 40$$ MPa, th...
GATE ME 2009
The figure shows the state of stress at a certain point in a stressed body. The magnitudes of normal stresses in the $$x...
GATE ME 2004
If the two principal strains at a point are 1000 $$ \times $$ 10-6 and -600 $$ \times $$ 10-6, then the maximum shear st...
GATE ME 1996
An elastic body is subjected to a tensile stress $$X$$ in a particular direction and a compressive stress $$Y$$ in its p...
GATE ME 1989
A cylindrical elastic body subjected to pure torsion about its axis develops:
GATE ME 1989

Marks 2

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A rectangular region in a solid is in a state of plane strain. The $$(x,y)$$ coordinates of the corners of the undeforme...
GATE ME 2017 Set 1
In a plane stress condition, the components of stress at a point are $${\sigma _x} = 20$$ MPa, $${\sigma _y} = 80$$ MPa...
GATE ME 2015 Set 2
The state of stress at a point under plane stress condition is $${\sigma _{xx}} = 40\,$$ MPa, $${\sigma _{yy}} = 100\,$...
GATE ME 2012
A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It further subjected to a torque of...
GATE ME 2008
A two dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is $$1$$ unit. Ra...
GATE ME 2008
The Mohr's circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum s...
GATE ME 2004
A shaft subjected to torsion experiences a pure shear stress $$\tau $$ on the surface. The maximum principal stress on t...
GATE ME 2003
The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 M...
GATE ME 2003
The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 M...
GATE ME 2003
At a point in a stressed body the state of stress on two planes $$45$$0 apart is as shown below. Determine the two princ...
GATE ME 1993
The three - dimensional state of stress at a point is given by: $$$\left[ \sigma \right] = \left[ {\matrix{ {30} & ...
GATE ME 1990

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