sm8 73

_______________________________________________________________________
PROBLEM (8.73) Using Mohr's circle, solve Prob. 8.47.
SOLUTION
22
max 10 20 22.4R
τ == + =
50 30
'4
20
M
Pa σ
+
=− =−
120
2tan
10
p
θ
−
=o 4.63=
31.7o
p
θ =
140 22.4 17.6
M
Pa
σ
=− + =−
240 22.4 62.4
M
Pa
σ
=− − =−
Sketches of results are as shown in solution of Prob. 8.47.
τ (MPa)
(−50, 20
)
O
2p
θ
10
20
σ2
1
σ
R
C
MPa)
σ(
40
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or
instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other
reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States
Copyright Act without the permission of the copyright owner is unlawful.