Q1: Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by O.) (2023)
(a) M1
(b) M2
(c) M3
(d) M4
Ans: (a,c)
Sol: Mohr's circle is a graphical representation of plane stress and shear stress.
Mohr's circle is always symmetrical about the xaxis.
Q2: A linear elastic structure under plane stress condition is subjected to two sets of loading, I and II. The resulting states of stress at a point corresponding to these two loadings are as shown in the figure below. If these two sets of loading are applied simultaneously, then the net normal component of stress σ_{xx} is ________. (2022 Set  2)
(a)
(b)
(c)
(d)
Ans: (a)
Sol:
Q3: The stress state at a point in a material under plane stress condition is equibiaxial tension with a magnitude of 10 MPa. If one unit on the σ−τ plane is 1 MPa, the Mohr's circle representation of the stateofstress is given by (2020 Set 1)
(a) a circle with a radius equal to principal stress and its center at the origin of the σ−τ plane
(b) a point on the σ axis at a distance of 10 units from the origin
(c) a circle with a radius of 10 units on the στ plane.
(d) a point on the τ axis at a distance of 10 units from the origin
Ans: (b)
Sol:
The given state of stress is represented by a point on σ−τ graph which is located on σaxis at a distance of 10 units from origin.
Q4: The state of stress at a point in a component is represented by a Mohr's circle of radius 100MPa centered at 200 MPa on the normal stress axis. On a plane passing through the same point, the normal stress is 260 MPa. The magnitude of the shear stress on the same plane at the same point is ______ MPa. (2019 Set 2)
(a) 48
(b) 63
(c) 96
(d) 80
Ans: (d)
Sol:
EF→Represents shear stress at the same point =EF=τ=80MPa
Q5: The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is 10 kPa, then the normal stress σ_{y} (in kPa) is (2018 Set  1)
(a) 9.45
(b) 18.88
(c) 37.78
(d) 75.5
Ans: (c)
Sol:
Q6: If σ_{1} and σ_{3} are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is
(a)
(b)
(c)
(d)
Ans: (b)
Sol:
Maximum shear stress is
Q7: The state of stress at a point is
The maximum normal stress (in MPa) at that point is_____. (2017 Set 2)
(a) 49
(b) 50
(c) 55
(d) 60
Ans: (b)
Sol: Given state of stress condition indicates pure shear state of stress.
For pure shear state of stress,
Max. tensile stress = Max. comp. stress = Max. Shear stress = τ_{XY} =50MPa
Hence, Max. normal stress =50MPa
Q8: In a plane stress condition, the components of stress at a point are σ_{x} = 20 M Pa, σ_{y} = 80M Pa and τ_{xy}=40MPa . The maximum shear stress (in MPa) at the point is (2015 Set  2)
(a) 20
(b) 25
(c) 50
(d) 100
Ans: (c)
Sol:
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37 videos39 docs45 tests

1. What is Mohr's Circle used for in mechanical engineering? 
2. How is Mohr's Circle constructed for a given stress state? 
3. What is the significance of Mohr's Circle in material analysis? 
4. How can Mohr's Circle be used to determine the principal stresses of a material? 
5. Can Mohr's Circle be used for strain analysis in addition to stress analysis? 

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