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ESE(IES) 2016-Strength of Materials Test

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Question 1

A cantilever beam of 2 m length supports a triangular distributed load over its entire length, the maximum of which is at the free end. The total load is 37.5 kN. What is the bending moment at the fixed end?

Question 2

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

Question 3

A beam of length L simply supported at its end carrying a total load W uniformly distributed over its entire length deflects at the centre by $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image502.png$ and has a maximum bending stress $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image503.png$ .If the load is substituted by a concentrated load $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image504.png$ at mid-span such that the deflection at the centre remains unchanged, the magnitude of the load $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image505.png$ and the maximum bending stress will be

Question 4

Four vertical columns of same material, height and weight have the same end conditions .Which cross-section will carry the maximum load?

Question 5

For a general two dimensional stress system, what are the coordinate of the centre of Mohr’s circle?

Question 6

The shearing force diagram for a beam is shown in the figure below.
$Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image270.jpg$
The bending moment diagram is represented by which one of the following?

Question 7

A steel rod, 2 m long, is held between two walls and heated from 20 °C to 60 °C. Young’s modulus and coefficient are 200×10³ MPa and the 10×10^-6 °C respectively. The stress induced in the rod, if walls yield by 0.2 mm, is

Question 8

A copper rod 400mm long is pulled in tension to a length of 401.2 mm by applying a tensile stress of 330 MPa. Then Young’s modulus of copper is

Question 9

What is the safe working pressure for a spherical pressure vessel 1.5m internal diameter and 1.5 cm wall thickness? If the maximum allowable tensile stress is 45 MPa?

Question 10

The diameter of a solid shaft is D. the inside and outside diameters of a hollow shaft of same material and length are $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image373.png$ and $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image374.png$ respectively. What is the ration of the weight of the hollow shaft to the solid shaft?

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ESE & GATE ME Strength of Materials

Sep 15ESE & GATE ME