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GATE (CE) : STRENGTH OF MATERIAL #7 (App update required to attempt this test)

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Question 1

A body is subjected to stresses 145 MPa in x direction, 65 MPa in y direction both tensile. If the yield strength of the material is 235 MPa, what can be the maximum shear stress the rod can be subjected to as per maximum principle stress theory?

Assume FOS to be 1.5 .

Question 2

What would be the equivalent stress (MPa) in simple tension according to maximum principal strain theory. If At a point in a structure there are two mutually perpendicular tensile stresses of 600 MPa and 200MPa at failure. poisson’s ratio is 0.25.

Question 3

A solid circular shaft is required to carry a torque of 60 kNm and a bending moment of 30 kNm, then the size of shaft using Tresca's theory is __________ mm.
[Take E = 2 x 105 N/mm2, μ = 0.3, fy = 250 N/mm2, FOS = 3]

Question 4

The Mohr’s circle of a plane stress for a point in a body is as shown below. Consider μ = 0.25

As per the maximum strain energy theory, the yielding will just begin if the designer chooses a ductile material whose yield strength is _____ MPa [rounded to one decimal places]

Question 5

A steel is subjected to principal stresses of 90 N/mm2, 50 N/mm2 and 30 N/mm2. If the F.O.S. is 2 and Poisson’s ratio is 0.3, then the yield stress as per maximum strain energy theory is

Question 6

A material ‘P’ is subjected to following stresses: = 220 MPa, = 0 MPa and = 110 MPa. Another material ‘Q’ is subjected to = 200 MPa, = 110 MPa and = 0 MPa. If factor of safety is 1.7 then the difference between yield stress of material ‘P’ and material ‘Q’ is (use Von Mises theory)
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Jul 14ESE & GATE CE