Pevious Years GATE Questions on Mohr’s Circle 2007-2012

Solved GATE Questions on Mohr’s Circle

Linked Answer question: Q.1-Q.2. Carry two marks Each.
A machine frame shown in the figure below is subjected to a horizontal force of 600 N parallel to Z-direction.

Question 1. The normal and the shear stresses in MPa at the point P are respectively

(A) 67.9 and 56.6

(B) 56.6 and 67.9
(C) 67.9 and 0.0
(D) 0.0 and 56.6

GATE-ME-2007

Hint

Hint 1. (Ans A)

 

Question 2. The maximum principle stress in MPa and the orientation of the corresponding principle plane in degrees are respectively

(A) -32.0 and -29.52
(B) 100.0 and 60.48
(C) -32.0 and 60.48
(D) 100.0 and -29.52

GATE-ME-2007

Hint

Question 3. A two dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is 1 unit. Radius of the Mohr’s circle, characterizing the state of stress at the point, is

(A) 0.5 unit
(B) 0 unit
(C) 1 unit
(D)2 unit

GATE-ME-2008

Hint

Hint 3. (Ans B)
Since the pressure in fluid is hydrodynamic typeNormal stress in all directions is same and shear stress on any plane is zero.Hence radius of Mohr’s circle is zero.

 

Question 4. A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further subjected to a torque of 10 kNm. The maximum principle stress experienced on the shaft is closest to

(A) 41 MPa

(B) 82 MPa

(C) 164 MPa

(D) 204 MPa

GATE-ME-2008

Hint

Hint 4. (Ans B)

Question 5. A solid circular shaft of diameter d is subjected to a combined bending moment M and torque T. The material property to be used for designing the shaft using the relation is

(A) Ultimate tensile strength(Su)

(B) Tensile yield strength (Sy)

(C) Torsional yields strength (Ssy)

(D) Endurance strength (Se)

GATE-ME-2009

Hint

Question 6. If the principle stresses in a plane stress problem, are the magnitude of the maximum shear stress (MPa) will be

(A) 60

(B) 50

(C) 30

(D) 20

GATE-ME-2009

Hint

Hint 6.(Ans C)
Maximum shear stress,

Question 7. The state of plane stress at a point is given by and . The maximum shear stress (in MPa) is

(A) 111.8

(B) 150.1

(C) 180.3

(D) 223.6

GATE-ME-2010

Hint

Hint 7.(Ans C)

Question 8. The state of stress at a point under the plane stress condition is=40 MPa, =100 MPa, and =40 MPa. The radius of the Mohr’s circle representing the given state of stress in MPa is

(A) 40

(B) 50

(C) 60

(D) 100

GATE-ME-2012

Hint

Hint 8. (Ans B)

Answer Keys