GATE 2019 Strength of Materials Day 5 Quiz

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Question 1

An axially loaded bar is subjected to a normal stress of 173 MPa. The maximum shear stress in the bar is

• A75MPa
• B86.5MPa
• C100MPa
• D122.3MPa

Question 2

Consider a small length of a beam subjected to simple bending. It has two sections AB and CD normal to the axis of the beam N-N. The amount by which the layer increases or decreases in length,

• Adepends on position of top layer w.r.t. bottom layer
• Bdepends on position of bottom layer w.r.t. top layer
• Cdepends on position of that layer w.r.t. to neutral axis
• Ddepends on position of top layer w.r.t. to axis N-N

Question 3

The maximum tensile stress at the section X–X shown in the figure below is

• A
• B
• C
• D

Question 4

A steel rod of circular cross-section is to carry a tensile load P = 150 kN. The allowable working stress in shear for the rod is τ_allowable = 55 MPA. The required diameter for the rod is

• A2.08 cm
• B4.17 cm
• C8.34 cm
• D16.68 cm

Question 5

A column of square section 40 mm × 40 mm, fixed to the ground carries an eccentric load P of 1200 N as shown in figure. If the stress developed along the edge CD is –1.2 MPa, the stress along the edge AB is ______ MPa.

• A-0.3
• B-0.5
• C-0.7
• D-0.8

Question 6

Consider a simply supported beam of length, 50h, with a rectangular cross-section of depth, h, and width, 2h. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is

• A0.02
• B0.10
• C0.05
• D0.01

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