_______________________________________________________________________
PROBLEM (9.31) A solid shaft of diameter d = 40 mm is subjected to a bending moment of M =
200π N⋅m. Determine the torque T that can also act if all
σ
= 120 MPa and all
τ
= 80 MPa.
SOLUTION
3
3
16 79.577 10
TTMPa
d
τ
π
−
== ×
33
32 32(200 ) 100
(0.04)
xM
M
Pa
d
π
σππ
== =
Equation (9.1):
23
100 100
120 ( ) (79.577 10 )
22 T
−
=+ + × 2
mNTT ⋅=×+= −616,10633325004900 26
Equation (9.3):
mNTT ⋅=×+= −785,106333250080 26
Thus,
mNTall ⋅= 616
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