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GATE ME 2019: Strength of Materials Rapid Quiz-2 (App update required to attempt this test)

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Question 1

Two similar rectangular sections have been superimposed. Z1 is the Elastic section modulus when beams are without shearing connections and Z2 is the elastic section modulus when beams have rigid shearing connection. Z1 : Z2 is?

Question 2

For the diagram given find the location at which the maximum deflection occurs. [L is the length of the beam]

Question 3

A circular shaft (Diameter 0.5 m) is under torsional load. Mohr’s circle radius of an element on the outer surface of the shaft is 50 MPa. What is the value of the torsional load in KN-m?

Question 4

For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?

Question 5

A horizontal bar, fixed at one end (x = 0), has a length of 1 m, and cross-sectional area of . Its elastic modulus varies along its length as given by , Where x is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 kN is applied at the free end (x=1). The axial displacement of the free end is _______ mm.

Question 6

For a deformable engineering material, the ratio of elastic modulus E and bulk modulus K is 0.8. What will be the ratio of Youngs modulus E and rigidity modulus G?

Question 7

A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2 kN normal to the top surface as shown in the figure. The Young’s modulus of elasticity or the material of the beam is 210 GPa. Find the magnitude of slope (in radians) at Q (20 mm from the fixed end) is__________.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image065.jpg

Question 8

A point mass of 100 kg is dropped onto a massless elastic bar (cross-sectional area length = 1m, Young’s moduls = 100 GPa) from a height H of 10mm as shown (Figure is not to scale). If , the maximum compression of the elastic bar is _______ mm.

Question 9

In the diagram shown bending moment (in kN-m) at fixed end is
8.jpg

Question 10

A cantilever of length 2.5 m is subjected to a couple Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.

Question 11

A cantilever beam carries the anti-symmetric load shown, where wo is the peak intensity of the distributed load. Qualitatively, the correct bending moment diagram for this beam is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image132.jpg

Question 12

A copper bar of 25 cm length is fixed by means of supports at its ends. Supports can yield (total) by 0.01 cm. If the temperature of the bar is raised by 100 °C, then the stress induced in the bar for if αc = 20×10-6C and Ec = 0.5×105 MPa will be
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