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-51 MPa, Sy- 10 MPa, and Sy-33 MPa. (a) Determine the principal stresses (o > o2) and the maximum in-plane shear stress fmax acting at the point. (b) Find the smallest rotation angle 0, (counterdockwise 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: Ppl 3= MPa. 2 = MPa. max MPa.

Principles of Foundation Engineering (MindTap Course List)
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Chapter8: Vertical Stress Increase In Soil
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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 Sy-51 MPa, Sy- 10 MPa, and Sy 33 MPa.
(a) Determine the principal stresses (o > o2) and the maximum in-plane shear stress fmax acting at the point.
(b) Find the smallest rotation angle 0, (countercockwise 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:
Opl =
MPa.
Op2 =
MPa.
Tmax =
MPa.
0, =
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 Sy-51 MPa, Sy- 10 MPa, and Sy 33 MPa. (a) Determine the principal stresses (o > o2) and the maximum in-plane shear stress fmax acting at the point. (b) Find the smallest rotation angle 0, (countercockwise 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: Opl = MPa. Op2 = MPa. Tmax = MPa. 0, =
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