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GATE ME: Strength of Materials Champion Quiz 5

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Question 1

A steel rod, 2 m long, is held between two walls and heated from 20 °C to 60 °C. Young’s modulus and coefficient are 200×103 MPa and the 10×10-6 °C respectively. The stress induced in the rod, if walls yield by 0.2 mm, is

Question 2

A metal rod is rigidity fixed at its both ends. The temperature of the rod is increased by 100 °C. If the coefficient of linear expansion and elastic modulus of the metal rod 10×10-6/ °C and 200Gpa respectively, then what is the stress produced in the rod?

Question 3

The main purpose of Universal Testing Machine is to:

Question 4

Diamond Pyramid Hardness is related to __________.

Question 5

A stepped steel shaft shown below is subjected to 10 Nm torque. If the rigidity is 80 GPa and θ1 = 0.33 × 10–3 ,the strain energy in the shaft in N mm is
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Question 6

Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is

Question 7

If a thin-walled cylinder with closed hemispherical ends with thickness 12 mm and inside diameter of 1250 mm is to withstand a pressure of 1.5 MPa, then the maximum shear stress induced is

Question 8

The buckling load for a column hinged at both ends is 10 kN. If the ends are fixed, the buckling load changes to

Question 9

The stress-strain behaviour of a material is shown in figure. Its resilience and toughness, in Nm/m3, are respectively

Question 10

Consider a simply supported beam of length, 50h, with a rectangular cross-section of depth, h, and width, 2h. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is
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