Problem 4 : For the shown Mohr circle: a) What is the state of stress at the reference point A. Sketch the element at A. (b) Determine the principal normal stresses and their orientation. Show the results on a properly oriented element (c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly oriented element

Problem 4 : For the shown Mohr circle: a) What is the state of stress at the reference point A. Sketch the element at A. (b) Determine the principal normal stresses and their orientation. Show the results on a properly oriented element (c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly oriented element

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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Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

Problem 4 : For the shown Mohr circle:
(a) What is the state of stress at the reference point A. Sketch the element at A.
(b) Determine the principal normal stresses and their orientation. Show the results on a properly
oriented element
(c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly
oriented element
A
20
40
60
80
100
Ở, ksi
20
40
-60

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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).
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n=8