GATE ME 2018: Strength of Materials Rapid Revision Test for ESE & GATE ME Exams

Question 1

A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by

. If the thermal coefficient of the material is

Young's modulus is E and the Poisson's ratio is

, the thermal stress developed in the cube due to heating is

Question 2

A thin plate of uniform thickness is subject to pressure as shown in the figure below
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under the assumption or plane stress, which one or the following is correct?

Question 3

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is

Question 4

A cylindrical tube under internal pressure 4MN/m² and mean radius 4 cm with the thickness of 0.12cm. What is the volumetric strain? [E=200GPa, ν=0.3]

Question 5

A column fixed at both ends has a rectangular cross-section of 10mm×20mm and a length of 1m. The slenderness ratio of the column is close to

Question 6

A steel tube of outer diameter 86mm and inner diameter 52mm is under pure torsion. The diameter of a solid steel shaft that resists the same torque at the same maximum shear stress is?

Question 7

Consider a simply supported beam of length 50h, with a rectangular cross-section of depth ‘h’ and width ‘2h’. The beam carries a uniformly distributed load of the intensity of w per metre. The ratio of the maximum bending stress to the maximum shear stress anywhere in the beam is ____.

Question 8

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 9

A bar is attached in series as shown in the figure. If the total length of the member to decrease 0.35 mm, then the total work done by the force P is ____ Nm.

Question 10

In the figure shown, the spring deflects by δ to position A (the equilibrium position) when a mass m is kept on it. During free vibration, the mass is at position B at some instant. The change in potential energy of the spring-mass system from position A to position B is

Question 11

A steel specimen 150 mm² in cross section and 50 mm gauge length subjected to an axial load of 15 KN. What is the strain energy stored in the specimen?
(take E = 100 GPa)

Question 12

Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 Gpa. The other rod is made out of cast iron having he modulus of elasticity of 100 Gpa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?

Question 13

A bar of length 2.1m and diameter 38mm is subjected to pure torsion. If the shear modulus of the material is 41GPa, calculate the torsional stiffness of the bar.

Question 14

A hollow steel bar (G = 80 GPa) is twisted by torque of magnitude T. The twisting of the bar produces a shear strain

radian on the inner surface. The bar has outside and inside diameter of 150 mm and 120 mm respectively. The maximum tensile stress in the bar is ___ MPa.

Question 15

Match the following:
List - I
P) Point of contraflexure
Q) Intensity of loading
List - II
i. Bending moment changes sign
ii. Shear force changes sign
iii. Rate of change of bending moment
iv. Change of shear force per unit length