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GATE 2019: Strength of Material Quiz 2

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Question 1

For a cylindrical material of dia 9 mm and length 10 mm the stress applied is equaled to 100MPa and the change in diameter is 0.9 mm and change in length is 2 mm. Find the poisson’s ratio?

Question 2

A square plate of dimension L × L is subjected to a uniform pressure load p = 250 MPa on its edges as shown in the figure. Assume plane stress conditions. The Young’s modulus E = 200 GPa.

The deformed shape is a square of dimension L = 2δ. If L =2m and δ =0.001 m, the Poisson’s ratio of the plate material is ____.

Question 3

If a tensile test is done on brass item which is 20 mm in diameter having gage length of 100 mm and a tensile load T of 100 kN is applied, the gage marks distance increases by 2.345 mm. What will be the Poisson’s ratio when diameter of brass item decreases by 0.11 mm?

Question 4

The relationship between Young’s modulus (E), Bulk modulus (K) and Poisson’s ratio (v) is given by

Question 5

The state of stress at a point ‘P’ in a two dimensional loading is such that the Mohr’s circle is a point located at 175 MPa on the positive normal stress axis.

Determine the maximum and minimum principal stresses respectively from the Mohr’s circle

Question 6

The state of stress at a point in a body is given by $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image118.png$ =100 MPa and $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image198.png$ =200 MPa. One of the principal stresses σ₁=250 MPa .The magnitudes of the other principal stress and the shearing stress $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image108.png$ are respectively

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ESE & GATE ME Strength of Materials

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