stress transformation and mohr's circle - Foundation Coalition
stress transformation and mohr's circle - Foundation Coalition
stress transformation and mohr's circle - Foundation Coalition
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112 CHAPTER 5. STRESS TRANSFORMATION AND MOHR’S CIRCLE<br />
σ ( τ )<br />
xy ' '<br />
s<br />
(20,10)<br />
y-face<br />
50 ksi<br />
10 ksi<br />
(35,0)<br />
20 ksi<br />
20 ksi<br />
Figure 5.8:<br />
Figure 5.9:<br />
5. Compute principal <strong>stress</strong>es <strong>and</strong> max shear <strong>stress</strong>.<br />
r =<br />
�<br />
�σxx<br />
�2 − σyy<br />
+ σ2 xy =<br />
2<br />
10 ksi<br />
50 ksi<br />
(50,-10)<br />
x-face<br />
� �50 − 20<br />
2<br />
� 2<br />
σP = σA ± r =35± 18.03<br />
∴ σP 1 =35+18.03 =53.03 ksi<br />
σ ( τ )<br />
xx ' '<br />
n<br />
+10 2 =18.03 ksi
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