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Chapter 6: Torsion
M6.23: Shafts With Specified Rotation Angle
Solve for T
1
and T
2
State the Problem
Plan the Solution
Table of Contents
Review Sign Conventions
Equilibrium
Geometry of Deformation
Torque-Twist Relationships
Section Properties
Solve for T
1
and T
2
Compute Shear Stresses
Finished
scene
9
of
11
For bronze shaft
(2)
:
L
2
=
800
mm
G
2
=
38
GPa
=
38,000
N/mm
2
J
2
=
3
,
106
,
311
mm
4
Rearrange the torque-twist relationship for shaft
(2)
to solve for
T
2
:
T
2
=
ϕ
2
J
2
G
2
L
2
=
(-3
˚)
(
π
rad
180
˚
)
×
(
3,106,311
mm
4
)
(
38,000
N/mm
2
)
800
mm
=
-7,725,688
N-m
=
-7.73
kN-m