Consider a polnt 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,- 15 ksi, S, - 19 ksi, and Sy (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (o,1 > o,2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle (0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses In an appropriate sketch (e.g. see Figure 12.15 or Figure 12.16) -14 ksl. So
Consider a polnt 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,- 15 ksi, S, - 19 ksi, and Sy (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (o,1 > o,2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle (0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses In an appropriate sketch (e.g. see Figure 12.15 or Figure 12.16) -14 ksl. So
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Consider a polnt 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- 15 ksi, S, - 19 ksi, and Sy 14 ksl.
(a) Draw Mohr's circle for this state of stress.
(b) Determine the principal stresses (o > o2) and the maximum in-plane shear stress Tinax acting at the point.
(c) Find the smallest rotation angle (0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then
show these stresses in an appropriate sketch (e.g, see Figure 12.15 or Figure 12.16)
So
Answers:
ksi.
Opl =
ksl.
Op2 =
ksi.
Tmax=
0,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c881d9-b7c3-4764-a5c8-4c1ff64969a9%2F4b2a4b53-5dd6-41a9-805e-8b975736388e%2Fj4n1tc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a polnt 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- 15 ksi, S, - 19 ksi, and Sy 14 ksl.
(a) Draw Mohr's circle for this state of stress.
(b) Determine the principal stresses (o > o2) and the maximum in-plane shear stress Tinax acting at the point.
(c) Find the smallest rotation angle (0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then
show these stresses in an appropriate sketch (e.g, see Figure 12.15 or Figure 12.16)
So
Answers:
ksi.
Opl =
ksl.
Op2 =
ksi.
Tmax=
0,
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