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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.

  1. Represent a Normal stress in a Mohr’s circle by

  1. Horizontal axis

  2. Vertical axis

  3. Both (a) & (b)

  4. None

ANS: (a)

lcs8JPG

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. C1A,  C1C OA=σ1, OC=σ3 Zero
2. C2A, C2B OA=σ1, OB=σ2 Zero
3. C3B, C3C OB=σ2, OC=σ3 Zero

 

 

Sr. No. Planes of maximum shear Maximum shear stress Normal stress on the plane of maximum shear
1. C1D, C1G C1D=C1G=(σ13)/2 OC1=(σ13)/2
2. C2E, C2H C3F= C3I=  (σ12)/2 OC2=(σ12)/2
3. C3F, C3I C1D=C1G=(σ23)/2 OC3=(σ23)/2
  1. Represent Shear stress in a Mohr’s circle by

  1. (a)Horizontal axis

  2. (b)Vertical axis

  3. (c)Both (a) & (b)

  4. (d) None

ANS: (b)

  1. Represent Maximum principal stress in a Mohr’s circle by

  1. Horizontal axis

  2. Vertical axis\

  3. Both (a) & (b)

  4. None

ANS: (a)

  1. Represent Maximum shear stress in a Mohr’s circle by

  1. Horizontal axis

  2. Vertical axis

  3. Both (a) & (b)

  4. None

ANS: (b)

  1. Represent Minimum principal stress in a Mohr’s circle by

  1. Horizontal axis

  2. Vertical axis

  3. Both (a) & (b)

  4. None

ANS: (a)

  1. Horizontal diameter of Mohr’s circle is

  1. Sum of principal stresses

  2. Difference of principal stresses

  3. Sum of max. principal and maximum shear stresses

  4. None

ANS: (b)

  1. The two principal stresses, σ1 and σ2 are tensile. The coordinates of the two extremities of the horizontal diameter are

  1. (0, σ1) & (0,σ2)

  2. 12) & (0, σ1)

  3. 1, 0) & (σ2, 0)

  4. None

ANS: (c)

  1. Vertical diameter of Mohr’s circle is equal to

  1. Maximum shear stress

  2. 3 times the maximum shear stress

  3. 2 times the maximum shear stress

  4. None

ANS: (c)

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

  1. First & second quadrants

  2. Second and third quadrants

  3. Third and fourth quadrants

  4. None

ANS: (d)

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

  1. First and second quadrants

  2. Second and third quadrants

  3. Third and fourth quadrants

  4. None

ANS: (b)

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

  1. First & second quadrants

  2. Second quadrant

  3. Third and fourth quadrants

  4. None

ANS: (d)

  1. Every radial line of Mohr’s circle is a

  1. Principal stress

  2. Maximum shear stress

  3. Both (a) & (b)

  4. None

ANS: (d)

  1. Every radial line of Mohr’s circle is a

  1. Principal plane

  2. Plane of maximum shear

  3. Any plane inside the stressed element

  4. None

ANS: (c)

  1. An angle ‘θ’ on stressed element appears as

  1. θ on Mohr’s circle

  2. 2θ on Mohr’s circle

  3. 3θon Mohr’s circle

  4. None

ANS: (b)

  1. Make All measurement of stresses from the

  1. Center of Mohr’s circle

  2. Pole (Origin)

  3. Both (a) & (b)

  4. None

ANS: (b)

  1. Represent Angle of obliquity by

  1. θ

  2. α

  3. β

  4. None

ANS: (b)

  1. Total angles of obliquity in a 2-dimensional stressed element is

  1. 1

  2. 2

  3. 3

  4. None

ANS: (b)

  1. Two principal stresses σ1, and σ2 are tensile. The coordinates of the center of Mohr’s circle are

  1. [0, (σ1—σ2)/2]

  2. [(σ1—σ2)/2, 0 ]

  3. [(σ12)/2, 0]

  4. None

ANS: ©

  1. Two principal stresses σ1, and σ2 are tensile. The coordinates of the two extremities of the vertical diameter are

  1. [0, (σ1—σ2)/2]

  2. [(σ1—σ2)/2, 0 ]

  3. [(σ12)/2, 0]

  4. None

ANS: (d)

  1. Two principal stresses σ1, and σ2 are tensile. The coordinates of the two extremities of the vertical diameter are

  1. [0, (σ1—σ2)/2]

  2. [(σ12)/2, (σ1—σ2)/2 ]

  3. [(σ12)/2, 0]

  4. None

ANS: (b)

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

  1. Center

  2. Pole

  3. Both (a) & (b)

  4. None

ANS: (b)

  1. In two principal stresses, σ 1 is tensile and σ 2 is compressive. Maximum shear stress is

  1. Firstly         (σ1—σ2)/2

  2. Secondly    (σ2—σ1)/2

  3. Thirdly         (σ1 + σ2)/2

  4. None

ANS: (c)

  1. Mohr’s circle is non-drawable when the two normal stresses on the stressed element are

  1. Like and equal

  2. Unlike and equal

  3. Both (a) & (b)

  4. None

ANS: (a)

  1. Obtain Mohr’ s circle from the

  1. Graphical method

  2. Analytical method

  3. Mechanical method

  4. None

ANS: (a)

  1. Mohr’s circle came from

  1. Graphical method

  2. Analytical method

  3. Mechanical method

  4. None

ANS: (b)

  1. Total Mohr’ s circles for a 3 dimensional stress-system is

  1. 3

  2. 6

  3. 9

  4. None

ANS: (a)

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

  1. 3

  2. 6

  3. 9

  4. None

ANS: (a)

28. When principal stresses are of opposite nature, Mohr’s circle lies in

  1. First and second quadrants

  2. Second & third quadrants

  3. Third & fourth quadrants

  4. None

ANS: (d)

     29. When principal stresses are of opposite nature, Mohr’s circle will le in

  1. First, second and third quadrants

  2. Second, third & fourth quadrants

  3. First to fourth quadrants

  4. None

ANS: (c)

     30. When principal stresses are of opposite nature, the maximum angle of obliquity is

  1. 600

  2. 1200

  3. 1800

  4. None

ANS: (c)

     31. In case of pure shear in the stressed element, principal stresses are

  1. Like and equal

  2. Unlike and equal

  3. Both (a) & (b)

  4. None

ANS: (b)

     32. In case of pure shear in the stressed element, maximum shear & principal stresses are

  1. Unequal

  2. Equal

  3. Can’t say

  4. None

ANS: (b)

     33. Any point on Mohr’s circle represents on any inclined plane within the stressed element as

  1. Maximum shear stress

  2. Maximum principal stress

  3. State of stress

  4. None

ANS: (c)

     34. The radius of Mohr’s circle is equal to

  1. σ x

  2. σ y

  3. τ

  4. None

ANS: (d)

     35. The radius of Mohr’s circle is equal to the

  1. Firstly Maximum principal stress

  2. Secondly Maximum shear stress

  3. Both (a) & (b)

  4. None

ANS: (b)

     36. The radius of Mohr’s circle is equal to maximum shear stress and principal stress. Then the stressed element has

  1. Firstly Only normal stresses

  2. Secondly Only shear stress

  3. Both normal & shear stress

  4. None

ANS: (b)

    37. The x-axis of Mohr’s circle represents

  1. Normal stresses

  2. Principal stresses

  3. Both (a) & (b)

  4. None

ANS: (c)

     38. The y-axis of Mohr’s circle represents

  1. Shear stresses

  2. Maximum shear stress

  3. Both (a) & (b)

  4. None

ANS: (c)

     39. The points of intersection on x-axis represents

  1. Maximum shear stresses

  2. Principal stresses

  3. Both (a) & (b)

  4. None

ANS: (b)

     40. The points of intersection on y-axis represents

  1. Maximum shear stresses

  2. Principal stresses

  3. Both (a) & (b)

  4. 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 x-axis at +50 M Pa. It represents a state of stress

  1. -50, +50 M Pa

  2. +50, +50 M Pa

  3. 0, +50 M Pa

  4. 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.

  1. 90 and 90 M Pa

  2. 45 and 45 M Pa

  3. 45 and 90 M Pa

  4. None

ANS: (c)

     43. A body is under a hydrostatic pressure of 50 M Pa. State the of  radius of Mohr’s circle.

  1.  25

  2.  50

  3.  zero

  4. None

ANS: (c)

     44. Angle of obliquity is the angle between

  1. Normal stress and shear stress

  2. Normal stress and the resultant stress

  3. Shear stress and the resultant stress

  4. 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

  1.  Minor principal stress

  2.  Major principal stress

  3. Maximum shear stress

  4. 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

  1.  Minor principal stress

  2. Major principal stress

  3. Maximum shear stress

  4. None

ANS: (a)

     47. The vertical diameter has two radii. The radius towards upwards from the center is a plane of

  1. Maximum negative shear stress

  2. Major principal stress

  3. Maximum positive shear stress

  4. 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

  1. Maximum negative shear stress

  2. Major principal stress

  3. Maximum positive shear stress

  4. None

ANS: (a)

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