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-17 MPa, S, - 60 MPa, and Swy- 29 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (ơp > op2) 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) Say Answers: MPa. Opl = MPa. MPa. Tmax = 0, =
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-17 MPa, S, - 60 MPa, and Swy- 29 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (ơp > op2) 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) Say Answers: MPa. Opl = MPa. MPa. Tmax = 0, =
Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter8: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...
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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-17 MPa, S, - 60 MPa, and Swy- 29 MPa.
(a) Draw Mohr's circle for this state of stress.
(b) Determine the principal stresses (ơp > op2) 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)
Say
Answers:
MPa.
Opl =
MPa.
MPa.
Tmax =
0, =
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