_______________________________________________________________________
PROBLEM (9.2) A hollow outboard motor propeller shaft with an outer diameter D and inner
diameter d is simultaneously acted upon by a torque T and an axial thrust P (Fig. P9.1) . What is the
maximum shearing stress in the shaft?
Given: D = 8 in. d = 4 in. T = 400 kip
⋅
in. P = 250 kips
SOLUTION
22 2 44
(8 4 ) 37.7 . (8 4 ) 377 .
432
AinJ 4
in
π
π
=−= = −=
250 6.63
37.7
xPksi
A
σ
=− =− =−
x
y
τ
x
σ
400(4) 4.24
377
xy Tr ksi
J
τ
== =
Thus
22
max ()
2x
x
y
σ
τ
τ
=+
22
( 3.315) (4.24)=− + 5.38 ksi
=
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