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, -39 ksi, and S, -24 ksi. (a) Determine the principal stresses (>6) and the maximum in-plane shear stress as acting at the point. (b) Find the smallest rotation angle 8, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (eg, see Figure 12.15 or Figure 12.16) Answers: 0] = 0₂2 = Imix = 9 i i ksi. ksi. ksi.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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, -39 ksi, and 5x, -24 ksi.
(a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tax acting at the point.
(b) Find the smallest rotation angle #, (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)
Answers:
i
Opl =
p2 =
free m i
0₂ =
i
O
ksi.
ksi.
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, -39 ksi, and 5x, -24 ksi. (a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tax acting at the point. (b) Find the smallest rotation angle #, (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) Answers: i Opl = p2 = free m i 0₂ = i O ksi. ksi. ksi.
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