Problem 9.67 Solution: Stress Analysis with Zero Vertical Load

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PROBLEM (9.67) Redo Prob. 9.66 for the case in which the vertically applied load R is zero.
SOLUTION
Refer to solution of Prob. 9.66
(a)
Therefore,
22
1,2 61.44 61.44
( ) (20.48)
22
σ =− ± − +
92.3672.30 ±−=
MPaMPa 6.672.6 21 −==
σ
σ
MPa9.36
max =
τ
2 2(20.48)
tan2 ' , ' 16.9
61.44 o
pp
x
τ
θθ
σ
== =−
−
Continued on next slide
A
x
61.44
x
M
Pa
σ
=
20.48
Tc
M
Pa
J
τ ==
36.9 MPa 6.2 MPa
16.9o
67.6 MPa
x
A

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instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other
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(b) See solution of Prob. 9.66:
Thus,
MPaMPa 3.2133.21 21max
=
−
=
=
σ
σ
τ
21.3 ksi
B
21.3 ksi
21.3 ksi
B
0
x
σ
=
21.33
M
Pa
τ
=
τ
σ
max
τ
1
σ
2
σ
O