MOHR’S STRESS CIRCLE MULTIPLE CHOICE QUESTIONS (MCQ) WITH ANSWERS
MOHR’S STRESS CIRCLE
MULTIPLE CHOICE QUESTIONS
(MCQ) WITH ANSWERS
MCQ on Mohr’s circle increases
knowledge about principal
stresses. Principal stresses are
maximum and minimum normal
stresses. It also gives maximum
shear stress as difference of the
two principal stresses. Find Principal
planes and planes of maximum
shear stress from Mohr’s
stress circle. Radius represents
the value of maximum shear
stress. θ on stressed element
appears as 2θ on Mohr’s circle.
A point on the circumference
represents the state of stress on
an inclined plane within the
stressed element. Make all measurement
of stresses from the pole.
Design a beam independently
on the basis of maximum principal
stress and maximum shear stress.
Finally select a beam giving
maximum dimensions.

Represent a Normal stress in a Mohr’s circle by

Horizontal axis

Vertical axis

Both (a) & (b)

None
ANS: (a)
FIG. Mohr’s Stress Circle
Fig. ELEMENTS OF MOHR’S STRESS CIRCLE
Fig. 3 DIMENSIONAL STRESS SYSTEM
THREE DIMENSIONAL STRESS SYSTEM
3 Mohr’s Stress Circles (Circle 1, Circle 2 and Circle 3)
Zero shear stress on principal planes
There is normal stress on the plane of maximum shear
Sr. NO.  Principal
Planes 
Principal stresses  Shear stress on principal planes 
1.  C_{1}A, C_{1}C  OA=σ_{1}, OC=σ_{3}  Zero 
2.  C_{2}A, C_{2}B  OA=σ_{1}, OB=σ_{2}  Zero 
3.  C_{3}B, C_{3}C  OB=σ_{2}, OC=σ_{3}  Zero 
Sr. No.  Planes of maximum shear  Maximum shear stress  Normal stress on the plane of maximum shear 
1.  C_{1}D, C_{1}G  C1D=C1G=(σ_{1}σ_{3})/2  OC_{1}=(σ_{1}σ_{3})/2 
2.  C_{2}E, C_{2}H  C_{3}F= C_{3}I= (σ_{1}σ_{2})/2  OC_{2}=(σ_{1}σ_{2})/2 
3.  C_{3}F, C_{3}I  C1D=C1G=(σ_{2}σ_{3})/2  OC_{3}=(σ_{2}σ_{3})/2 

Represent Shear stress in a Mohr’s circle by

(a)Horizontal axis

(b)Vertical axis

(c)Both (a) & (b)

(d) None
ANS: (b)

Represent Maximum principal stress in a Mohr’s circle by

Horizontal axis

Vertical axis\

Both (a) & (b)

None
ANS: (a)

Represent Maximum shear stress in a Mohr’s circle by

Horizontal axis

Vertical axis

Both (a) & (b)

None
ANS: (b)

Represent Minimum principal stress in a Mohr’s circle by

Horizontal axis

Vertical axis

Both (a) & (b)

None
ANS: (a)

Horizontal diameter of Mohr’s circle is

Sum of principal stresses

Difference of principal stresses

Sum of max. principal and maximum shear stresses

None
ANS: (b)

The two principal stresses, σ_{1} and σ_{2} are tensile. The coordinates of the two extremities of the horizontal diameter are

(0, σ_{1}) & (0,σ_{2})

(σ_{1},σ_{2}) & (0, σ_{1})

(σ_{1}, 0) & (σ_{2}, 0)

None
ANS: (c)

Vertical diameter of Mohr’s circle is equal to

Maximum shear stress

3 times the maximum shear stress

2 times the maximum shear stress

None
ANS: (c)

The two principal stresses are tensile, Mohr’s circle will lie in

First & second quadrants

Second and third quadrants

Third and fourth quadrants

None
ANS: (d)

The two principal stresses are compressive, Mohr’s circle will lie in

First and second quadrants

Second and third quadrants

Third and fourth quadrants

None
ANS: (b)

The two principal stresses are compressive, Mohr’s circle will lie in

First & second quadrants

Second quadrant

Third and fourth quadrants

None
ANS: (d)

Every radial line of Mohr’s circle is a

Principal stress

Maximum shear stress

Both (a) & (b)

None
ANS: (d)

Every radial line of Mohr’s circle is a

Principal plane

Plane of maximum shear

Any plane inside the stressed element

None
ANS: (c)

An angle ‘θ’ on stressed element appears as

θ on Mohr’s circle

2θ on Mohr’s circle

3θon Mohr’s circle

None
ANS: (b)

Make All measurement of stresses from the

Center of Mohr’s circle

Pole (Origin)

Both (a) & (b)

None
ANS: (b)

Represent Angle of obliquity by

θ

α

β

None
ANS: (b)

Total angles of obliquity in a 2dimensional stressed element is

1

2

3

None
ANS: (b)

Two principal stresses σ_{1, }and σ_{2} are tensile. The coordinates of the center of Mohr’s circle are

[0, (σ_{1}—σ_{2})/2]

[(σ_{1}—σ_{2})/2, 0 ]

[(σ_{1}+σ_{2})/2, 0]

None
ANS: ©

Two principal stresses σ_{1, }and σ_{2} are tensile. The coordinates of the two extremities of the vertical diameter are

[0, (σ_{1}—σ_{2})/2]

[(σ_{1}—σ_{2})/2, 0 ]

[(σ_{1}+σ_{2})/2, 0]

None
ANS: (d)

Two principal stresses σ_{1, }and σ_{2} are tensile. The coordinates of the two extremities of the vertical diameter are

[0, (σ_{1}—σ_{2})/2]

[(σ_{1}+σ_{2})/2, (σ_{1}—σ_{2})/2 ]

[(σ_{1}+σ_{2})/2, 0]

None
ANS: (b)

Obtain Maximum angle of obliquity by drawing a tangent to Mohr’s circle from the

Center

Pole

Both (a) & (b)

None
ANS: (b)

In two principal stresses, σ_{ 1} is tensile and σ_{ 2} is compressive. Maximum shear stress is

Firstly (σ_{1}—σ_{2})/2

Secondly (σ_{2}—σ_{1})/2

Thirdly (σ_{1} + σ_{2})/2

None
ANS: (c)

Mohr’s circle is nondrawable when the two normal stresses on the stressed element are

Like and equal

Unlike and equal

Both (a) & (b)

None
ANS: (a)

Obtain Mohr’ s circle from the

Graphical method

Analytical method

Mechanical method

None
ANS: (a)

Mohr’s circle came from

Graphical method

Analytical method

Mechanical method

None
ANS: (b)

Total Mohr’ s circles for a 3 dimensional stresssystem is

3

6

9

None
ANS: (a)

Total number of values of maximum shear stresses in a 3 dimensional stressed body is

3

6

9

None
ANS: (a)
28. When principal stresses are of opposite nature, Mohr’s circle lies in

First and second quadrants

Second & third quadrants

Third & fourth quadrants

None
ANS: (d)
29. When principal stresses are of opposite nature, Mohr’s circle will le in

First, second and third quadrants

Second, third & fourth quadrants

First to fourth quadrants

None
ANS: (c)
30. When principal stresses are of opposite nature, the maximum angle of obliquity is

60^{0}

120^{0}

180^{0}

None
ANS: (c)
31. In case of pure shear in the stressed element, principal stresses are

Like and equal

Unlike and equal

Both (a) & (b)

None
ANS: (b)
32. In case of pure shear in the stressed element, maximum shear & principal stresses are

Unequal

Equal

Can’t say

None
ANS: (b)
33. Any point on Mohr’s circle represents on any inclined plane within the stressed element as

Maximum shear stress

Maximum principal stress

State of stress

None
ANS: (c)
34. The radius of Mohr’s circle is equal to

σ _{x}

σ _{y}

τ

None
ANS: (d)
35. The radius of Mohr’s circle is equal to the

Firstly Maximum principal stress

Secondly Maximum shear stress

Both (a) & (b)

None
ANS: (b)
36. The radius of Mohr’s circle is equal to maximum shear stress and principal stress. Then the stressed element has

Firstly Only normal stresses

Secondly Only shear stress

Both normal & shear stress

None
ANS: (b)
37. The xaxis of Mohr’s circle represents

Normal stresses

Principal stresses

Both (a) & (b)

None
ANS: (c)
38. The yaxis of Mohr’s circle represents

Shear stresses

Maximum shear stress

Both (a) & (b)

None
ANS: (c)
39. The points of intersection on xaxis represents

Maximum shear stresses

Principal stresses

Both (a) & (b)

None
ANS: (b)
40. The points of intersection on yaxis represents

Maximum shear stresses

Principal stresses

Both (a) & (b)

None
ANS: (a)
41. The state of stress in a stressed element is such that Mohr’s circle is a point circle. Its center is located on xaxis at +50 M Pa. It represents a state of stress

50, +50 M Pa

+50, +50 M Pa

0, +50 M Pa

None
ANS: (b)
42. The principal stresses from the Mohr’s circle come as 100 and 10 M Pa. Apply maximum shear stress theory. State the maximum shear stress and the yield point stress.

90 and 90 M Pa

45 and 45 M Pa

45 and 90 M Pa

None
ANS: (c)
43. A body is under a hydrostatic pressure of 50 M Pa. State the of radius of Mohr’s circle.

25

50

zero

None
ANS: (c)
44. Angle of obliquity is the angle between

Normal stress and shear stress

Normal stress and the resultant stress

Shear stress and the resultant stress

None
ANS: (b)
45. When principal stresses are tensile, the horizontal diameter has two radii. The radius towards right side of center is a plane of

Minor principal stress

Major principal stress

Maximum shear stress

None
ANS: (b)
46. When principal stresses are tensile, the horizontal diameter has two radii. The radius towards left side of center is a plane of

Minor principal stress

Major principal stress

Maximum shear stress

None
ANS: (a)
47. The vertical diameter has two radii. The radius towards upwards from the center is a plane of

Maximum negative shear stress

Major principal stress

Maximum positive shear stress

None
ANS: (c)
48. When principal stresses are tensile, the vertical diameter has two radii. The downwards radius from the center is a plane of

Maximum negative shear stress

Major principal stress

Maximum positive shear stress

None
ANS: (a)
https://www.mesubjects.net/wpadmin/post.php?post=7556&action=edit Principal stresses
https://mesubjects.net/wpadmin/post.php?post=1132&action=edit PRINCIPAL STRESSES INTROD CLASS NOTES