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# GATE 2020: Strength of Material Quiz 4

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Question 1

A system under biaxial loading induces principal stress of 100 N/ tensile and 50 N/ compressive at a point. The normal stress at that point on the maximum shear stress plane is

Question 2

In Mohr’s circle, the radius of the circle is taken as

Question 3

Principal strains at a point are +100×10 and -200×10⁶. What is the maximum shear strain at the point?

Question 4

Two principal tensile stresses of magnitude 40 MPa and 20 MPa are acting at a point across two perpendicular planes. An oblique plane makes an angle of 30 ° with the major principal plane. The normal stress on the oblique plane is

Question 5

The Principal stresses at a point in two–dimensional stress system are σ1 and σ2 and corresponding principal strain are 1 and 2. If E and μ denote Young’s modulus and Poisson’s ratio, respectively, then which one of the following is correct?

Question 6

The Mohr’s circle for a plane stress is a circle of radius R with its center at . What is the value of shear stress on the plane of pure shear stress (in MPa) _________.
[Take R=100 MPa]
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