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ISRO ME 2019 STRENGTH OF MATERIALS 3

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Question 1

Steel bar ABC 16m long having cross-sectional area Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image100.png weigth 40 N as shown in the figure. If the modulus of elasticity for the bar material is 200 GPa. The deflction at B is
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image101.png

Question 2

In the propped cantilever beam carrying a uniformly distributed load of w kN/m, shown in the following figure, the reaction at the support B is

Question 3

A shaft circular in cross section and of length l is subjected to a variable torque given by kx2/l2 where x is the distance measured from one end of the shaft and k is a constant. What will be the angle of twist for the shaft at free end.
Modulus of rigidity of the shaft is G.

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Question 4

The maximum principal stress for the stress state shown in the figure is

Question 5

Three columns are made with same materials and are having same cross-sections. One is hinged from both ends, second is fixed from both ends and third is one end fixed and other end free. If critical load of all of the columns is same then what is the length ratio for all three?

Question 6

Autofrettage signifies _________.

Question 7

In a case of pure bending on shaft, the value of bending moment is M and its diameter is d. Calculate the ratio of principal stresses (Case1: Case 2) when the bending moment is doubled and the diameter is halved.

Question 8

The shear stress in the material at a point is given as 60N/mm2. Determine the local strain energy per unit volume stored in the material due to shear stress. Take, G= 9×104N/mm2

Question 9

The Mohr’s circle for a plane stress is a circle of radius R with its center at Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image159.png. What is the value of shear stress on the plane of pure shear stress (in MPa) _________.
[Take R=100 MPa]

Question 10

A bar of 3m length, 30 mm breadth, and 20 mm thickness is subjected to a compressive stress of 50 KN/m2. What will be the final change in volume of the bar, if Poisson’s ratio is 0.30 and modulus of rigidity is 90GN/m2 ?
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