Help drawing Mohr's circle with rotated axis

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SUMMARY

The discussion focuses on using Mohr's Circle to determine the transformed stress components σx1, σy1, and τx1y1 for a plane stress scenario in the xy-plane. Given the values σx = -45, σy = -15, τxy = -20, and a rotation angle θ = 100°, the user successfully calculated the center of the circle as σave = -30 and the radius R = 25. The user initially struggled with the process but ultimately solved the problem independently, confirming their understanding of the concepts involved.

PREREQUISITES
  • Understanding of Mohr's Circle for stress transformation
  • Familiarity with plane stress conditions
  • Knowledge of stress components: σx, σy, and τxy
  • Ability to perform trigonometric calculations for angle rotations
NEXT STEPS
  • Study the derivation of Mohr's Circle equations for stress transformation
  • Learn how to apply Mohr's Circle to three-dimensional stress states
  • Explore the implications of stress rotation on material failure criteria
  • Investigate the use of software tools for stress analysis, such as ANSYS or SolidWorks
USEFUL FOR

Students in engineering mechanics, structural engineers, and anyone involved in stress analysis and material failure assessment will benefit from this discussion.

Blugga
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Homework Statement



Plane stress in xy-plane. Use Mohr's Circle to find σx1 σy1 and τx1y1 if the XY axis is rotated counterclockwise θº

I want to do my HW problem myself so I'll just put some sample values. If i know how to get this one, i'll know how to do the HW problem(s).
(Units won't matter for this)

σx = -45
σy = -15
τxy = -20 which makes τyx = 20
θ = 100°

Homework Equations


τmax=R
R = √((σxy)/2)2xy2
center=σave= (σxy)/2


The Attempt at a Solution


center=σave= {[(-45)+(-15)]/2} = -30
R=25
Point A (-45,-20)
Point B (-15,20)
Using my book (Gere 8th), i was only able to get this far. Not sure if this is on the right track or not, but I'm stuck at this point. Don't know how to continue...
How can I get σx1 σy1 and τx1y1 from here?
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