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

Principles of Geotechnical Engineering (MindTap Course List)
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Chapter10: Stresses In A Soil Mass
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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
Transcribed Image Text: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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