Help drawing Mohr's circle with rotated axis

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?
33awgld.jpg
 
Last edited by a moderator:
on Phys.org
Problem Solved. I did it all by myself!
23991469.jpg
 

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