The segment AB of the steel torsion bar is a cylindrical tube of constant 2-mm wall thickness. Segment BC is a square tube with a constant wall thickness of 3 mm. The outer dimensions of the cross-sections are shown in the figure. The tubes are attached to a rigid bracket at B, which is loaded by a couple formed by the forces P = 17 kN. Determine the maximum shear stress in the shaft. Take G = 75 GPa. P 1.2m C 100 mm 100 mm t = 3 mm 1.2 m 80 mm B 300 mm A t = 2 mm Important reminder: The formulas derived for thin-walled tubes are just approximations. So, for the case of hollow circular tubes with constant thickness, you should still use Tc/J and TL/JG to solve for the shear stress and angle of twist, respectively.
The segment AB of the steel torsion bar is a cylindrical tube of constant 2-mm wall thickness. Segment BC is a square tube with a constant wall thickness of 3 mm. The outer dimensions of the cross-sections are shown in the figure. The tubes are attached to a rigid bracket at B, which is loaded by a couple formed by the forces P = 17 kN. Determine the maximum shear stress in the shaft. Take G = 75 GPa. P 1.2m C 100 mm 100 mm t = 3 mm 1.2 m 80 mm B 300 mm A t = 2 mm Important reminder: The formulas derived for thin-walled tubes are just approximations. So, for the case of hollow circular tubes with constant thickness, you should still use Tc/J and TL/JG to solve for the shear stress and angle of twist, respectively.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![The segment AB of the steel torsion bar is a
cylindrical tube of constant 2-mm wall
thickness. Segment BC is a square tube with
a constant wall thickness of 3 mm. The outer
dimensions of the cross-sections are shown
in the figure. The tubes
are attached to a rigid bracket at B, which is
loaded by a couple formed by the forces P =
17 kN. Determine the maximum shear stress
in the shaft. Take G = 75 GPa.
P
1.2m
C
100 mm
100 mm
t = 3 mm
1.2m
80 mm
B
300 mm
A
-t = 2 mm
Important reminder: The formulas derived
for thin-walled tubes are just
approximations. So, for the case of hollow
circular tubes with constant thickness, you
should still use Tc/J and TL/JG to solve for
the shear stress and angle of twist,
respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F150dec7c-ce68-4ffd-92f2-3c5f3962e381%2Fce33ab9d-79ee-493e-bfac-e8fb468da146%2Fsi8yi7zc_processed.png&w=3840&q=75)
Transcribed Image Text:The segment AB of the steel torsion bar is a
cylindrical tube of constant 2-mm wall
thickness. Segment BC is a square tube with
a constant wall thickness of 3 mm. The outer
dimensions of the cross-sections are shown
in the figure. The tubes
are attached to a rigid bracket at B, which is
loaded by a couple formed by the forces P =
17 kN. Determine the maximum shear stress
in the shaft. Take G = 75 GPa.
P
1.2m
C
100 mm
100 mm
t = 3 mm
1.2m
80 mm
B
300 mm
A
-t = 2 mm
Important reminder: The formulas derived
for thin-walled tubes are just
approximations. So, for the case of hollow
circular tubes with constant thickness, you
should still use Tc/J and TL/JG to solve for
the shear stress and angle of twist,
respectively.
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