Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, - 10 ksi, S, - 23 ksi, and Sy - 25 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy Part 1 Correct. Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: 16.5 ksi R- 25.8311 ksi Part 2 Determine the principal stresses and the maximum in-plane shear stress acting at the point. Answer: Op1" ksi Op2 - i ksi Tmax in-plane ksi

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, - 10 ksi, S, - 23 ksi, and Sy - 25 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy Part 1 Correct. Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: 16.5 ksi R- 25.8311 ksi Part 2 Determine the principal stresses and the maximum in-plane shear stress acting at the point. Answer: Op1" ksi Op2 - i ksi Tmax in-plane ksi

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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Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

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Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal
and vertical planes at the point are S, - 10 ksi, S, - 23 ksi, and Sy - 25 ksi.
(a) Draw Mohr's circle for this state of stress.
(b) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).
(d) Determine the absolute maximum shear stress at the point.
Sxy
Part 1
Correct.
Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress.
Answer:
16.5
ksi
R-
25.8311
ksi
Part 2
Determine the principal stresses and the maximum in-plane shear stress acting at the point.
Answer:
Op1"
ksi
Op2 - i
ksi
Tmax in-plane
ksi

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