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GATE 2018: Strength of Materials Rapid Revision Quiz

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Question 1

A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is

Question 2

A solid round bar 6 cm in diameter and 250 cm long is used as a strut. One end of the strut is fixed while its other end is hinged. The safe compressive load for strut using Euler’s formula, assuming E = 200 GPa and factor of safety = 2 is

Question 3

A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear)

Question 4

A steel bar(α= 11x10-6) is held by two fixed supports as shown in the figure and is subjected to an increase of temperature ∆T=100 °C and young's modulus 200GPa respectively, the magnitude of thermal stress (in MPa) induced in the bar is _____

Question 5

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 6

In a two dimensional stress analysis, the state of stress at a point is as shown below,
4.jpg
The magnitude of ‘’ is

Question 7

A steel bar of 4 m length and uniform cross-sectional area of 1200 mm2 is suspended vertically and loaded as shown in figure. The elongation of the bar will be
[Take, ]
30.jpg

Question 8

A column of square section 40 mm × 40 mm, fixed to the ground carries an eccentric load of P Newton as shown in the figure.

If the stresses developed along the edge CD and AB is –1.2 N/mm2 and –0.8 N/mm2 respectively.
The eccentricity (e) is ______ mm.

Question 9

A helical compression spring made of wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPA. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is _______

Question 10

What is the maximum axial stress at constrained end of the component?
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Oct 13ESE & GATE CE