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1
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The three-dimensional state of stress at a point is given by

$$\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{pmatrix} \text{ MPa.}$$

The maximum shear stress at the point is

A

20 MPa

B

15 MPa

C

5 MPa

D

25 MPa

2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Stresses acting on an infinitesimal soil element are shown in the figure (with $$\sigma$$z > $$\sigma$$x). The major and minor principal stresses are $$\sigma$$1 and $$\sigma$$3, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?

GATE CE 2022 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 7 English

A
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _1} + {\sigma _3}}}} \right)$$
B
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _3} - {\sigma _x}}}} \right)$$
C
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _1} - {\sigma _x}}}} \right)$$
D
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _1} + {\sigma _x}}}} \right)$$
3
GATE CE 2015 Set 1
Numerical
+1
-0
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 1 Strength of Materials Or Solid Mechanics - Complex Stress Question 17 English
Your input ____
4
GATE CE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: GATE CE 2015 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 16 English
A
$$-50$$ $$MPa$$, on a plane $${45^ \circ }$$ clockwise $$w.r.t.x$$-axis
B
$$-50$$ $$MPa$$, on a plane $${45^ \circ }$$ anti-clockwise $$w.r.t.x$$-axis
C
$$50$$ $$MPa$$, at all orientations
D
zero, at all orientations
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