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ESE ME Strength of Materials : National Champion Test

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Question 1

A timber beam is 100 mm wide and 150 mm deep. The beam is simply supported and carries a central concentrated load W. If the maximum stress in shear is 2 N/mm2, what would be the corresponding load W on the beam?

Question 2

A horizontal beam shown in the figure given below is subjected to transverse loading. Which one of the following diagrams represent the distribution of shear force along the cross-section?

Question 3

Assertion (A) : A rectangular element is subjected to pure shear. This will result in cracks along one diagonal and crushing along the other diagonal.
Reason (R) : Pure shear on a rectangular element results in tension along one diagonal and compression along the other diagonal.
A. both A and R are ture and R is the correct explanation of

Question 4

Statement (|): There are two independent elastic constants for a homogenous and isotropic material.
Statement (||) : All metals at micro-level are isotropic.

Question 5

A rectangular beam of width 100 mm is subjected to a maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is 4 N/mm2. The depth of the beam should be

Question 6

Assertion (A) : The failure occurs of an axially loaded mild steel tension specimen of circular cross-section is along a plane at 450 to the axis of the specimen.
Reason (R) : The failure occurs an a plane of the specimen subjected to maximum shear stress and mild steel is relatively weak in shear.

Question 7

Shear span is defined as the zone where

Question 8

A solid shaft transmits 150 kW at a shear stress of 70 MPa running at a frequency of 3 Hz. What will be the shear stress when the frequency is 1.5 Hz?

Question 9

Match List-I (Strain Energy) with List-II (Gradually applied load) and select the correct answer using the codes given below the lists (σ= direct stress, τ= shear stress, Mx= Bending moment, E = Modulus of elasticity, G = Modulus of rigidity, I = Area moment of inertia, V = Volume).
List-I
A)
B)
C)
D)
List-II
1) Axial load
2) Bending load
3) Shear load
4) Torsional load

Question 10

The spring constant of a helical compression spring DOES NOT depend on

Question 11

A chalk stick is twisted to failure by applying opposite torques T at the two ends. which of the option is showing correct variation of torsional shear stress with the diameter of chalk.

Question 12

For a power transmission shaft transmitting power P at N rpm, its diameter is proportional to

Question 13

The state of stress at a point is given by σx = –6 MPa, σy = 4 MPa, and τxy = –8 MPa. The maximum tensile stress (in MPa) at the point is __________.

Question 14

A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stress in the segment QR is:

Question 15

A solid circular cross-section cantilever beam of diameter Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image333.png= 100 mm carries a sheer force of 10 kN at the free end. The maximum shear stress is

Question 16

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.pngand 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.pngand the maximum bending stress will be

Question 17

Which among the following is the correct formula for measuring critical axial concentric load which causes column to point of collapse when hinged at both sides?

Question 18

In a strained material, normal stresses on two mutually perpendicular planes are σx and σy (both alike) accompanied by a shear stress τxy. One of the principal stresses will be zero, only when __________.

Question 19

When a bar is  cooled  to -15 0C, it will develop

Question 20

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 21

A solid transmitting torque T. the allowable shearing stress is Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image296.png.what is the diameter of the shaft?

Question 22

The second moment of a circular area about the diameter is given by (D is the diameter).

Question 23

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 24

Statement (I): A circular cross section column with diameter’s is to be axially loaded in compression. For this the core of the section is considered to be a concentric circular area of diameter’s/4
Statement (II): we can drill and take out a cylindrical volume of material with diameter ‘d/4’ in order to make the column lighter and still maintaining the same buckling ( crippling ) load carrying capacity.

Question 25

Determine the ratio of the buckling strength of a solid column to that of a hollow column of the same material having the same area of cross section. The internal diameter of the column is half of the external diameter. Both columns are identical length and are pinned or hinged at the ends:

Question 26

The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load P and bending moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is  __________.

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image119.jpg

Question 27

A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A' is equal to zero?

Question 28

A steel cube, with all faces free to deform, has Young's modulus, E, Poisson's ratio, v, and coefficient of thermal expansion,Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image036.png. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature ΔT, is given by

Question 29

The figure below shows a steel rod of 25 mm2 cross sectional area. It is loaded at four points, K, L, M and N. Assume Esteel =200GPa.The total change in length of the rod due to loading is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image157.png

Question 30

What is the strain energy stored in a body of volume V due to gradually applied load? (E is young's modulus of elasticity)
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