National Champion Test - GATE 2018 ME : Strength of Materials for ESE & GATE ME Exams

Question 1

If a material expands freely due to heating it will develop __________.

Question 2

A cantilever beam of rectangular cross-section is subjected to load at free end. If the depth of the beam is doubled and load is halved, deflection of the free end as compared to original will be

Question 3

A bar of Length L, area A and Young’s modulus E is subjected to a pulling force P. The strain energy stored in the bar is

Question 4

Strain energy U, in the case of axially loaded bar is expressed as, (where P is axial load, L is bar length, A is corss-section area of the bar, E is Young’s Modulus of the bar,

is axial stress,

is elongation due to axial load)

Question 5

A Mohr’s circle reduces to a point when the body is subjected to

Question 6

A cantilever beam 6 meter long as shown in figure is subjected to a linearly varying loading which has a maximum ordinate of 360 N/m at the fixed end on the right. The moment as a function of x is

Question 7

Elastic stress distribution in the cross section of a curved beam under pure bending is

Question 8

Proof resilience may be defined as _________.

Question 9

Which of the following statement is correct, in case of a curved beam?

Question 10

A hollow shaft of same cross-section area as solid shaft transmits

Question 11

A solid steel shaft transmits 40 kW of power at a speed of (75/π) Hz. The initial torque needed in the shaft is __________.

Question 12

A thick cylinder of inner dia ‘D’, wall thickness

and length ‘L’ is sealed at its both end with cap is

. Allowable tensile yield stress =

and allowable shear stress =

. A gas is pumped into the cylinder at pressure ‘p’. The cap will yield in shear at circumferences of diameter ‘D’ when the gas pressure applied is more than

Question 13

A 20 KN weight is suspended by two wires as shown in the figure. The length of each wire is 2 meter. The steel wire (E value 200 GPa) has an cross-section area of

and the aluminum wire (E value 70 GPa) has an cross-sectional area of

. The stress in aluminum wire is

Question 14

A 4 m long solid round bar is used as a column having one end fixed and the other end free. If Euler’s critical load on this column is found as 10 kN and E =210 GPa for the material of the bar, the diameter of the bar is ___________.

Question 15

A solid shaft is designed to transmit 100 kW while rotating at N r.p.m. If the diameter of the shaft is doubled and allowed to operate at 2 N r.p.m., the power that can be transmitted by the latter shaft is

Question 16

A beam ABCD 6m along, is supported at B and C, 3 m apart with overhangs AB = 2 m and CD = 1m. It carries a uniformly distributed load of 100 kN/m over its entire length:

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The maximum magnitude of bending moment and shear force are ____________.

Question 17

The magnitude of principal stresses at a point are 250 MPa tensile and 150 MP a compressive. The magnitudes of the of the shearing stress on a plane on which the normal stress is 200 MPa tensile and which the normal stress on a plane at right angle to this plane are

Question 18

A beam ABCD ,6 m along, is supported at B and C, 3 m apart with overhangs AB=2 m and CD=1m . It carries a uniformly distributed load of 100 kN/m over its entire length:
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The maximum magnitude of bending moment and shear force are

Question 19

A circular steel rod of 20

cross-sectional area and 10 m in length is heated through 50 °C with ends clamped before heating. Given, E = 200 GPa and coefficient of thermal expansion,

= 10 × 10^–6/ °C, the thrust thereby generated on the clamp is

Question 20

A bar produces a lateral strain of magnitude -60 × 10^-5 when subjected to tensile stress of magnitude 300 MPa along the axial direction. What is the elastic modulus of the material, if the Poisson ratio is 0.3?