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GATE ME 2019: Strength of Materials Rapid Quiz-1

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Question 1

The number of independent components in a stress tensor defining stress at a point in three dimensions is

Question 2

The state of plane-stress at a point is given by σ_x = −200MPa, σ_y = 100MPa and τ_xy = 100MPa. the maximum shear stress in MPa is

Question 3

Variation of shear force in a cantilever carrying a load the intensity of which varies uniformly from zero at the free end to w per unit run at the fixed end is by

Question 4

Two beams, one having square cross section and another circular cross-section, are subjected to the same amount of bending moment. If the cross sectional area as well as the material of both the beams are the same then

Question 5

What are the normal and shear stresses on the $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image005.png$ planes show

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Question 6

A cylindrical bar is 4 cm in diameter and 100 cm long. During a tensile test it is found that the magnitude of longitudinal strain is 5 times the magnitude of lateral strain and its elastic modulus is 200 GPa. What is the change in volume, when the bar is subjected to a hydrostatic pressure of 100 MPa?

Question 7

Given, for a material of Poisson's ratio of 0.48, the modulus of rigidity equals to 9 MPa. Find the value bulk modulus for the same _________?

Question 8

A circular rod of length ‘L’ and area of cross-section ‘A’ has a modulus of elasticity ‘E’ and coefficient of thermal expansion ‘α’. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then

Question 9

The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in mm⁴) of this cross-section about its base is ______

Question 10

A solid aluminum shaft, 5 cm diameter and 1 m long, is to be replaced by a tubular steel shaft of the same length and the same outside diameter (i.e. 5 cm), such that each of the two shaft could have the same angle of twist per unit torsional moment over the total length. Modulus of rigidity of steel is three times that of aluminium. The inner diameter of the tubular shaft is

Question 11

A cantilever beam has the square cross section of 10 mm× 10 mm. It carries a transverse load of 10 N. considering only the bottom fibres of the beam, the correct representation of the longitudinal variation of the bending stress is
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Question 12

A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are
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ESE & GATE ME Strength of Materials

Apr 8ESE & GATE ME