Q-2 In an elastic material under load, two planes AB and BC are perpendicular to each other. The stresses on these planes are as follows: 1. on AB, 30 MN/m² compression stress and 60 MN/m² counterclockwise shear. 2. on BC, 60 MN/m² clockwise shear. Find (a) the principal stresses and directions of the principal planes. (b) the normal and tangential stresses on a plane inclined at 75 counterclockwise to the BC plane. Confirm your answer by means of Mohr's stress circle diagram

Q-2 In an elastic material under load, two planes AB and BC are perpendicular to each other. The stresses on these planes are as follows: 1. on AB, 30 MN/m² compression stress and 60 MN/m² counterclockwise shear. 2. on BC, 60 MN/m² clockwise shear. Find (a) the principal stresses and directions of the principal planes. (b) the normal and tangential stresses on a plane inclined at 75 counterclockwise to the BC plane. Confirm your answer by means of Mohr's stress circle diagram

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q-2
In an elastic material under load, two planes AB and BC are perpendicular
to each other. The stresses on these planes are as follows:
1. on AB, 30 MN/m² compression stress and 60 MN/m² counterclockwise shear.
2. on BC, 60 MN/m² clockwise shear.
Find (a) the principal stresses and directions of the principal planes. (b) the normal and
tangential stresses on a plane inclined at 75" counterclockwise to the BC plane. Confirm
your answer by means of Mohr's stress circle diagram.

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Step 2: Finding principal stresses

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Step 3: Finding principal plane direction

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Step 4: Finding normal stress & shear stress at an angle of 75 degree (CCW)

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Step 5: Drawing Mohr's circle

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Step 6: Verifying value from Mohr's circle

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