A concentric shaft AB made of hollow bronze (OD = 100 mm, ID = 80 mm, G = 41 GPa) and solid steel (D = 80 mm, G = 80 GPa) is attached by a flanged bolt coupling at B to a solid aluminum shaft BC (D=90 mm, G = 28 GPa) which is then attached to a hollow brass shaft CD (OD = 100 mm, ID = 80 mm, G = 40 GPa). The whole shaft is fixed at ends A and D. The bolt coupling has a mismatch of 0.5 degree. Torque T is applied at C while a torque of 0.3T is being removed at B at the right flange plate. The bolt coupling has a bolt circle diameter of 120 mm and uses 15 bolts in which 3/5 are 50-mm in diameter and 2/5 are 25 mm in diameter. Determine the maximum permissible torque T that can be applied given the following allowable shear stresses: Thronze = 70 MPa, Usteel = 110 MPa, Taluminum = 60 MPa, Thrass = 55 Mpa, and Tbolts = 75 MP. A LAB = 2 m B ✈0.3T LBC = 1.5 m C T LCD = 1.5 m D
A concentric shaft AB made of hollow bronze (OD = 100 mm, ID = 80 mm, G = 41 GPa) and solid steel (D = 80 mm, G = 80 GPa) is attached by a flanged bolt coupling at B to a solid aluminum shaft BC (D=90 mm, G = 28 GPa) which is then attached to a hollow brass shaft CD (OD = 100 mm, ID = 80 mm, G = 40 GPa). The whole shaft is fixed at ends A and D. The bolt coupling has a mismatch of 0.5 degree. Torque T is applied at C while a torque of 0.3T is being removed at B at the right flange plate. The bolt coupling has a bolt circle diameter of 120 mm and uses 15 bolts in which 3/5 are 50-mm in diameter and 2/5 are 25 mm in diameter. Determine the maximum permissible torque T that can be applied given the following allowable shear stresses: Thronze = 70 MPa, Usteel = 110 MPa, Taluminum = 60 MPa, Thrass = 55 Mpa, and Tbolts = 75 MP. A LAB = 2 m B ✈0.3T LBC = 1.5 m C T LCD = 1.5 m D
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer must be:
The maximum Torque T that can be applied is Tmax = 10.0139 kN•m
Transcribed Image Text:A concentric shaft AB made of hollow bronze (OD = 100 mm, ID = 80 mm, G = 41 GPa) and
solid steel (D = 80 mm, G = 80 GPa) is attached by a flanged bolt coupling at B to a solid
aluminum shaft BC (D=90 mm, G = 28 GPa) which is then attached to a hollow brass shaft
CD (OD = 100 mm, ID = 80 mm, G = 40 GPa). The whole shaft is fixed at ends A and D. The
bolt coupling has a mismatch of 0.5 degree. Torque T is applied at C while a torque of 0.3T
is being removed at B at the right flange plate. The bolt coupling has a bolt circle diameter
of 120 mm and uses 15 bolts in which 3/5 are 50-mm in diameter and 2/5 are 25 mm in
diameter. Determine the maximum permissible torque T that can be applied given the
following allowable shear stresses: Thronze = 70 MPa, Usteel = 110 MPa, Taluminum = 60 MPa, Thrass
= 55 Mpa, and Tbolts = 75 MP.
A
LAB = 2 m
B
✈0.3T
LBC = 1.5 m
C
T
LCD = 1.5 m
D
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