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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122 CHAPTER 5. STRESS TRANSFORMATION AND MOHR’S CIRCLE<br />
σ ( τ )<br />
xy ' '<br />
σ =<br />
P2<br />
σ ( τ )<br />
xy ' '<br />
s<br />
σ =<br />
P3<br />
s<br />
(20,10)<br />
y-face<br />
16.97ksi<br />
10ksi<br />
(20,10)<br />
y-face<br />
τ<br />
S<br />
max<br />
τ<br />
σ =<br />
P2<br />
S<br />
max<br />
τ<br />
= 18.03ksi<br />
(35,18.03)<br />
=<br />
(35,0)<br />
(35, 18.03)<br />
τ<br />
S<br />
max<br />
16.97ksi<br />
S<br />
max<br />
2θ S<br />
18.03ksi<br />
16.85<br />
Figure 5.19:<br />
= 31.52ksi<br />
(35,18.03)<br />
(35,0)<br />
(35, 18.03)<br />
= 31.52ksi<br />
2θ S<br />
σ =<br />
P1<br />
(50,-10)<br />
x-face<br />
16.85<br />
Figure 5.20:<br />
Example 5-5<br />
σ =<br />
(50,-10)<br />
x-face<br />
σ ( σ )<br />
xx ' '<br />
53.03ksi<br />
P1<br />
xx ''<br />
n<br />
σ ( σ )<br />
53.03ksi<br />
Given the <strong>stress</strong> state below, use Mohr’s <strong>circle</strong> to find the principal planes <strong>and</strong> maximum shear<br />
n
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