(a) What do values (each point) on Mohr's Circle represent? (b) Why is Mohr's Circle a useful tool? (c) In your own words, explain the engineering importance of solving for principal stresses and max shear stresses.

(a) What do values (each point) on Mohr's Circle represent? (b) Why is Mohr's Circle a useful tool? (c) In your own words, explain the engineering importance of solving for principal stresses and max shear stresses.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Please help! Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 4 MPa in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 2 ksi in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
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Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 8 MPa in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).
Why should an element subjected to maximum shear stress be oriented?
Please provide solution with explanation in detail
Two dimensional stress tensor at a point is given by a matrix *][* [100 30 30 20 The maximum shear stress is MPa MPa.