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ESE ME 2019: Strength of Materials Quiz-1

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Question 1

Mohr’s circle is drawn for the shear stress developed because of torque applied over a shaft, then the maximum shear developed will be equal to

Question 2

Consider a cantilever beam with a point load at the end. If the area of cross-section of a circular section beam is made four times, keeping the loads, length, support conditions and materials of the beam unchanged, then the quantities (List-I) will change through different factors (List-II). Match the List-I and List-II and select the correct answer using the code given below the lists:
Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image284.png

Question 3

Two shafts, one solid and the other hollow, made of the same material, will have the same strength and stiffness, if both are of the same

Question 4

The maximum shearing stress induced in the beam section at any layer at any position along the beam length (shown in the figure) is equal to

Question 5

A simply supported beam of rectangular cross-section is under transverse loading. Regarding the shear stress distribution across any section, the ratio of maximum shear stress to mean shear stress is

Question 6

Direction: The following items consists of two statement: one labelled as ‘Assertion’ A. and the other as ‘Reason’(R). You are to examine these two statements carefully and select the answers to these items using codes given below:
Assertion (A): A plane state of stress always results in a plane state of strain.
Reason (R): A uni-axial state of stress results in a three dimensional state of strain.

Question 7

If the ratio G/E (G = Rigidity modulus, E = Young’s modulus of elasticity) is 0.4, then what is value of the Poisson ratio?

Question 8

Assertion (A): Mohr’s construction is possible for stresses, strain and area moment of inertia.
Reason (R): Mohr’s circle represents the transformation of second-order tensor.

Question 9

A system under biaxial loading induces principal stress of 100 N/Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image192.png tensile and 50 N/Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image192.png compressive at a point. The normal stress at that point on the maximum shear stress plane is

Question 10

A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be
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Aug 15ESE & GATE ME