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ESE ME 2018: Strength of Materials Achievers National Test

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Question 1

A solid shaft is to transmit 20 kW at 200 r.p.m. The ultimate shear stress for the shaft material is 360 MPa and the factor of safety is 8. The diameter of the solid shaft shall be

Question 2

A shaft subjected to combined twisting moment T and bending moment M. What is the equivalent bending moment?

Question 3

For a rectangular section beam, if the depth of beam is doubled, keeping the width, length, and loading same, the bending stress is decreased by a factor __________.

Question 4

Maximum deflection of a cantilever beam of length L carrying uniformly distributed load ‘w’ per unit length will be
[Where E=modulus of elasticity of beam material and I=moment of inertia of beam cross-section]

Question 5

For a material following Hooke’s law, the values of elastic and shear moduli are 3 × 10⁵ MPa and 1.2 × 10⁵ MPa respectively. The value for bulk modulus is

Question 6

At point in two-dimensional stress system $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image100.png$ . What is the radius of the Mohr circle for stress drawn with a scale of 1cm = 10N/mm² ?

Question 7

The part of the shear force diagram for a beam is shown in the figure
$Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image264.jpg$
If the bending moment at B is -9kN m, then the bending moment at C is

Question 8

A steel specimen 150 mm² in cross-section stretches by 0.05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen?
(Take E = 200 GPa)

Question 9

While transmitting the same power by a shaft, if its speed is doubled, what should be its new diameter if the maximum shear stress induced in the shaft remains same?

Question 10

A water main of 1 m diameter contains water at a pressure head of 100 meters. The permissible tensile stress in the material of the water main is 25 MPa. What is the minimum thickness of the water main? (Take g = 10 m/s²)

Question 11

Two Tapering bars of the same material are subjected to a tensile load P. The lengths of both bars are the same. The larger diameter of each of the bars id D. The diameter of the bar A at its smaller end is D/2 and that of the bar B is D/3. What is the ratio of elongation of the bar A to that of the bar B?

Question 12

A metal rod is rigidity fixed at its both ends. The temperature of the rod is increased by 100 °C. If the coefficient of linear expansion and elastic modulus of the metal rod 10×10^-6/ °C and 200Gpa respectively, then what is the stress produced in the rod?

Question 13

An overhanging beam ABC is supported at points A and B, as shown in the figure below.
$Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image250.jpg$
Find the maximum bending moment and the point where it occurs __________.

Question 14

A body is subjected to a pure tensile stress of 100 units. What is the maximum shear produced in the body at some oblique plane due to the above?

Question 15

Where does the maximum hoop stress in a thick cylinder under external pressure occur?

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ESE & GATE ME Strength of Materials

Sep 15ESE & GATE ME