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GATE 2021: Strength of Materials Rapid Mini Mock (App update required to attempt this test)

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Question 1

Which assumptions are incorrect in column theory?

Question 2

A steel rod of 3 sq. cm area of cross-section and 2.588m in length is subjected to a pull of 20kN. If the modulus of rigidity is 100 GPa and poison’s ratio is 0.33 then, The strain in the rod is expressed as A X Find A _________ (Round off to 2 decimals)

Question 3

A point in a body is subjected to state of stress as What is the radius of the Mohr circle (if 1 cm = 2MPa) ________cm

Question 4

Consider the following beam loaded as shown in figure:

Net moment (in KN-m) at fixed end will be __________.

Question 5

What is the value of load ‘P’ that can be supported by the circular steel rod bracket shown in the figure. If the normal stress on the section A-B is limited to 80MPa

Value of P in kN is___________ (correct up to one decimal value).

Question 6

A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections AB and BC are 3E and E, respectively.

For the deflection at C to be zero, the ratio P/F is ____________

Question 7

A composite rod of total cross sectional area 400 mm2 is subjected to a temperature change of 400°C. If the rod is made up of Steel and Aluminium, then the magnitude of stress in aluminium section is _________MPa.

Given Asteel = 100mm2, Esteel=200GPa, αsteel=12×10-6/

Aaluminium = 300mm2, Ealuminium=70GPa, αaluminium=23×10-6/

Question 8

Compare the ratio of volumetric strain in cylindrical and spherical shell when they are subjected to same internal pressure and both have same d/t ratio, where d is the internal diameter of the vessel and t is the thickness of the vessel. It is given that poisson ratio is 0.3. Neglect the stress in radial direction.

Question 9

A thin pressure vessel of 300 mm radius and 15 mm thickness is subjected to an internal pressure of 2 MPa. then the diameter of the Mohr circle.

Question 10

A tapered shaft having diameter of 10mm at one end and 20mm at the other end is subjected to torsion which produces the maximum shear stress equal = 10MPa. The modulus of rigidity of the shaft material is 10GPa. What is the total energy stored in J in shaft per unit volume? _______kJ

Question 11

A stepped shaft shown in the figure is subjected to a torque of 10 N-m at point B. Calculate the strain energy in the shaft in N-mm. Take modulus of rigidity, G = 80GPa.

Question 12

A rectangular beam 12 m long is simply supported at its ends and is acted upon by a 15 kN/m uniformly distributed load throughout its length. Find the depth of the beam if its thickness is twice that of its width. Assume the allowable bending stress of material as 48 N/mm2.
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