4. An element is found in a stress condition as shown in figure. Then Calculate:Principal stresses and its orientation.Maximum shear stress, its orientation and corresponding normal stress.iii.Principal Strains, their planes and maximum shear strain.Draw the principal planes and plane of maximum shear on figure.Verify your answer by Mohr's circle.i.ii.Normal strains in each direction.iv.V.vi.30 Мра15 Mpa120 Мра

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4. An element is found in a stress condition as shown in figure. Then Calculate: Principal stresses and its orientation. ii. Maximum shear stress, its orientation and corresponding normal stress. iii. i. Normal strains in each direction. iv. Principal Strains, their planes and maximum shear strain. Draw the principal planes and plane of maximum shear on figure. vi. Verify your answer by Mohr's circle. V. 30 Мра 15 Mpa |20 Mpa

4. An element is found in a stress condition as shown in figure. Then Calculate: Principal stresses and its orientation. ii. Maximum shear stress, its orientation and corresponding normal stress. iii. i. Normal strains in each direction. iv. Principal Strains, their planes and maximum shear strain. Draw the principal planes and plane of maximum shear on figure. vi. Verify your answer by Mohr's circle. V. 30 Мра 15 Mpa |20 Mpa

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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Concept explainers

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

4. An element is found in a stress condition as shown in figure. Then Calculate:
Principal stresses and its orientation.
Maximum shear stress, its orientation and corresponding normal stress.
iii.
Principal Strains, their planes and maximum shear strain.
Draw the principal planes and plane of maximum shear on figure.
Verify your answer by Mohr's circle.
i.
ii.
Normal strains in each direction.
iv.
V.
vi.
30 Мра
15 Mpa
120 Мра

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Problem example Example 7-5: The state of plane stress at a point with respect to the xy- axes is shown in the figure. Using Mohr's circle, determine (a) The principal stresses and principal planes and sketch the results. (b) The maximum shear stress. (c) The state of stress with respect to the x'y'-axes. 20 MPa (+) A 16 MPa 50° X 40 MPa (+) 1. Omax 3. Op 7-42
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 10 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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