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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.4.21P: -18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see...
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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.
Transcribed Image Text: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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