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

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Marks 1

GATE CE 2024 Set 1
The three-dimensional state of stress at a point is given by $$\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{pmatrix} \text{ MPa...
GATE CE 2022 Set 2
Stresses acting on an infinitesimal soil element are shown in the figure (with $$\sigma$$z > $$\sigma$$x). The major and minor principal stresses a...
GATE CE 2015 Set 1
Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $${\sigma _n}$$ is _____$$MPa.$$...
GATE CE 2015 Set 2
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: ...
GATE CE 2012
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $$p,$$ then the maximum ...
GATE CE 2010
The major and minor principal stresses at a point are $$3MPa$$ and $$-3MPa$$ respectively. The maximum shear stress at the point is
GATE CE 2009
Consider the following statements: $$1.$$ On a principal plane, only normal stress acts $$2.$$ On a principal plane, both normal and shear stresses ac...
GATE CE 2007
An axially loaded bar is subjected to a normal stress of $$173$$ $$MPa.$$ The maximum shear stress in the bar is
GATE CE 2006
Mohr's cicle for the state of stress defined by $$\left[ {\matrix{ {30} & 0 \cr 0 & {30} \cr } } \right]$$ $$MPa$$ is a circle wit...
GATE CE 2005
The symmetry of stress tensor at a point in the body under equilibrium is obtained from
GATE CE 2005
The components of strain tensor at a point in the plane strain case can be obtained by measuring longitudinal strain in following directions.
GATE CE 1997
A small element at the critical section of component is in a state of stress with the two principal stresses being $$360$$ $$MPa$$ and $$140$$ $$MPa...

Marks 2

GATE CE 2024 Set 1
Find the correct match between the plane stress states and the Mohr’s circles....
GATE CE 2023 Set 2
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...
GATE CE 2023 Set 2
A 2D thin plate with modulus of elasticity, 𝐸 = 1.0 N/m2, and Poisson’s ratio, πœ‡ = 0.5, is in plane stress condition. The displacement field in the ...
GATE CE 2023 Set 1
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...
GATE CE 2016 Set 2
For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa. The shear stress $$\tau $$ is ...
GATE CE 2014 Set 2
For the state of plane stress (in $$MPa$$) shown in the figure below, the maximum shear stress (in $$MPa$$) is ___________ ...
GATE CE 2013
The state of $$2D$$-stress at a point is given by the following matrix of stresses: $$$\left[ {\matrix{ {{\sigma _{xx}}} & {{\sigma _{xy}}} \...
GATE CE 2004
If principle stresses in two-dimensional case are $$\left( - \right)\,\,10\,MPa$$ and $$20$$ $$MPa$$ respectively, then maximum shear stress at th...
GATE CE 2004
In a two dimensional analysis, the state of stress at a point is shown below. If $$\sigma = 120\,\,MPa$$ and $${\tau _{xy}} = 70\,\,MPa,\,\,{\sigm...
GATE CE 1994
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...
GATE CE 1993
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...
GATE CE 1990
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...
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