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6.16
A compound steel [
G
= 80 GPa] shaft
(Fig. P6.16) consists of a solid 55mm
diameter segment (1) and a solid 40mm
diameter segment (2). The allowable shear
stress of the steel is 70 MPa, and the
maximum rotation angle at the free end of
the compound shaft must be limited to
φ
C
≤
3°. Determine the magnitude of the largest
torque
T
C
that may be applied at
C
.
Fig. P6.16
Solution
Section properties
:
44
1
(55 mm)
898,360.5 mm
32
J
π
==
2
(40 mm)
251,327.4 mm
32
J
Consider shear stress:
The larger shear stress will occur in the smaller diameter segment; that
is, segment (2).
24
max
(70 N/mm )(251,327.4 mm )
879,646 Nmm
40 mm/2
J
T
c
τ
≤=
=
Consider angle of twist:
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This note was uploaded on 02/09/2012 for the course MECHANICAL EM217 taught by Professor Joyce during the Spring '11 term at Naval Academy.
 Spring '11
 Joyce
 Shear, Stress

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