Principal Stress & Principal Strain PYQs, Solid Mechanics-Strength of Materials PYQs, GPSC Civil Engineering Previous Year Asked Questions

If the ratio of two principal stresses is ½, what is the ratio of minimum principal stress to maximum shear stress?

A) 1/2

B) 1

C) 2

D) 4

C) 2


If an element is subjected to a tensile stress of 60 MPa in horizontal direction, a tensile stress of 20 MPa in vertical direction and shear stress of 30 MPa which tends to rotate the element in anticlockwise direction, then the Radius of Mohr’s Circle will be

A) 30 MPa

B) 40 MPa

C) 50 MPa

D) None of the above

D) None of the above


State true or false :
1. Any two orthogonal surfaces are sufficient to completely specify the principal stresses for a biaxial state of stress.
2. Only one surface is required to specify the maximum shear stress completely.

A) 1 is true but 2 is false

B) 1 is false, but 2 is true

C) both 1 and 2 are true

D) both 1 and 2 are false

C) both 1 and 2 are true


A sudden change in shear stress distribution diagram at the cross section shows

A) Sudden change in depth of the section

B) Sudden change in width of beam

C) Both (A) and (B)

D) None of the above

B) Sudden change in width of beam


Complimentary shear stresses are the shear stresses acting on a set of planes which are

A) having zero normal stress

B) having maximum normal stress

C) at an angle of 45° to each other

D) orthogonal to each other

D) orthogonal to each other


For a cube in three dimensions X, Y and Z, with plane of reference being X-Y, which of the following denotes that the problem is a plane strain condition?

A) Stress in Z direction is zero

B) Strain in Z direction is non-zero

C) Shear stresses in XZ and YZ planes are zero

D) Shear stress in XY plane is zero

C) Shear stresses in XZ and YZ planes are zero


The radius of Mohr’s circle is zero when the state of stress is such that

A) Shear stress is zero

B) There is pure shear

C) There is no shear stress but identical direct stresses in two mutually perpendicular directions

D) There is no shear stress but equal direct stresses, opposite in nature, in two mutually perpendicular directions.

C) There is no shear stress but identical direct stresses in two mutually perpendicular directions


If a body is acted upon by pure shear stresses on two perpendicular planes, the planes inclined at 45° are subjected to no _____ stress.

A) tensile

B) compressive

C) shear

D) bending

C) shear


In three dimensions, Mohr’s stress plane in general has three circles. What happens to it when all the principal stress components become equal?

A) It reduces to a point

B) It has two non-overlapping circles

C) One of the circles become an ellipse

D) It has three overlapping circles

A) It reduces to a point


The plane stresses on x and y faces are 4.2 N/mm2 and 9.6 N/mm2 respectively. The value of normal stress at point where shear stress is maximum, would be

A) 6.9 N/mm2

B) 2.7 N/mm2

C) 5.4 N/mm2

D) 13.8 N/mm2

A) 6.9 N/mm2


Practice Test On Principal Stress & Principal Strain PYQs, Solid Mechanics/Strength of Materials PYQs (Section 1-1)

GPSC Civil Engineering Previous Year Asked Questions

1 / 10

If a body is acted upon by pure shear stresses on two perpendicular planes, the planes inclined at 45° are subjected to no _____ stress.

2 / 10

In three dimensions, Mohr’s stress plane in general has three circles. What happens to it when all the principal stress components become equal?

3 / 10

A sudden change in shear stress distribution diagram at the cross section shows

4 / 10

The plane stresses on x and y faces are 4.2 N/mm2 and 9.6 N/mm2 respectively. The value of normal stress at point where shear stress is maximum, would be

5 / 10

If an element is subjected to a tensile stress of 60 MPa in horizontal direction, a tensile stress of 20 MPa in vertical direction and shear stress of 30 MPa which tends to rotate the element in anticlockwise direction, then the Radius of Mohr’s Circle will be

6 / 10

Complimentary shear stresses are the shear stresses acting on a set of planes which are

7 / 10

State true or false :
1. Any two orthogonal surfaces are sufficient to completely specify the principal stresses for a biaxial state of stress.
2. Only one surface is required to specify the maximum shear stress completely.

8 / 10

For a cube in three dimensions X, Y and Z, with plane of reference being X-Y, which of the following denotes that the problem is a plane strain condition?

9 / 10

The radius of Mohr’s circle is zero when the state of stress is such that

10 / 10

If the ratio of two principal stresses is ½, what is the ratio of minimum principal stress to maximum shear stress?

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