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GATE2020 SOM Rapid Mini Mock (App update required to attempt this test)

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Question 1

Calculate the change in volume of the metal block whose Young’s modulus and Poisson’s ratio of material are 800 GPa and 0.2 and its structural proportions are 400x200x100 mm. It is being exposed to a hydrostatic pressure of 30 MPa.

Question 2

Wall thickness of a thin cylinder shell of 800 mm internal diameter is 10 mm. length of the cylinder is 2m. if the shell is subjected to an internal pressure of 1.5 MPa, determine the maximum shear stress.

Question 3

If the length of the column is increased 5 times, the critical load becomes

Question 4

The slope at point B is

Question 5

A 20 mm diameter shaft of length 500 mm is fixed at one end. A torque, T is applied at its free end. The linear strain at surface of an angle of 45

from the axis is 4.0 x 10^-3 calculate the torque. Take E =2.0

10¹¹ and G =8.0X10¹⁰.

Question 6

A compound beam is formed by joining two bars, one of brass and the other of steel each 40 mm wide and 10 mm deep. This beam is supported over a span of 1 m with the brass bar placed over the steel as shown below. Assume equal radius of curvature for both the materials.

Determine the maximum point load which can be applied at the centre of the beam, when the bars are separate and can bend independently.
[Take E_steel = 200 GPa, E_brass = 80 GPa, σ_steel = 112.5 MPa]

Question 7

A steel bar 12 cm in diameter is completely encased in an aluminium tube of 18 cm outer diameter and 12 cm inner diameter so as to make a composite beam. The composite beam is subjected to a bending moment of 12 kNm, then the maximum stress (in N/mm²) developed due to bending in aluminium is
[Take E_steel = 3 E_aluminium]

Question 8

For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.

The shear stress τ is

Question 9

From an equilateral triangular cross-section of side ‘a’, a square cross-section has to be cut such that its strength in bending is maximum, then the side of such a square cross-section is

Question 10

A hollow circular shaft has an outer diameter of 100 mm and the inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is_____

Question 11

The shear force resisted by one glue junction per mm length inside if the shear force at the section is 2000 N is _________ N/mm [rounded to two decimal places]

Question 12

The value of slope at A in the given beam is ______________× 10^-3. ( up to 1 decimal place)

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ESE & GATE CE Strength of Materials

Sep 28ESE & GATE CE