Previous Years GATE Questions on Mohr’s Circle 2001-2005

Solved GATE Questions on Mohr’s Circle

Question 1. The maximum principle stress for the stress state shown in the figure is

(A) 

(B) 

(C) 

(D) 

GATE-ME-2001

Hint

Question 2. The number of components in a stress tensor defining stress at a point in three

(A) 3

(B) 4

(C) 6

(D) 9

GATE-ME-2002

Hint

Data for Q.3-4 are given below. Solve the problems and choose correct answers.

The state of stress at a point “P” in a two dimensional loading is such that the Mohr’s circle is a point located at 175 MPa on the positive normal stress axis.

Question 3. Determine the maximum and minimum principle stresses respectively from the Mohr’s circle

(A) +175 MPa, -175 MPa

(B) +175 MPa, +175 MPa

(C) 0,-175 MPa

(D) 0,0

GATE-ME-2003

Hint

Question 4. Determine the directions of maximum and minimum principle stresses at the point “P” from Mohr’s circle

(A) 0, 90°

(B) 90°,0

(C)45°, 135°

(D) All directions

GATE-ME-2003

Hint

Question 5. A shaft subjected to torsion experiences a pure shear stress  on the surface. The maximum principle stress on the surface which is at 45° to the axis will have a value

(A) 

(B) 2

(C) 

(D) 

GATE-ME-2003

Hint

Question 6. The figure shows the state of stress at certain point in a stresses body. The magnitudes of normal stresses in x and y direction are 100 MPa and 20 MPa respectively. The radius of Mohr’s stress circle representing this state of stress is

(A) 120

(B) 80

(C) 60

(D) 40

GATE-ME-2004

Hint

Question 7. The Mohr’s circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear stress theory for yielding. Then, yielding will just begin if the designer chooses a ductile material whose yield strength is

(A) 45 MPa

(B) 50 MPa

(C) 90 MPa

(D) 100 MPa

GATE-ME-2005

Hint

Answer Keys