-Wfat is the minimum diamefer Ha folid Steel shaft that ll not twist thru more than 3° in á G-m Cingth mhen fubjected to a torque y 12kn.m? wfat mainum shearing stress is develop el? Use G- 83 Gpa

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Chapter9: Composite Construction
Section: Chapter Questions
Problem 9.8.6P
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Please help me with this one. Please use the second photo as reference.

Subject: Strength of materials

Topic: Torsion

|- wfat is the minimum diameter Hà folia
Steel shaft that ll not twist thru more
than 3° in
to a torque t 12kn.m? what raxinum
shearing stress is de velop ed 7 Use G- 83 Gpa
à 6-m lingtk. mhen fubjectedl
Transcribed Image Text:|- wfat is the minimum diameter Hà folia Steel shaft that ll not twist thru more than 3° in to a torque t 12kn.m? what raxinum shearing stress is de velop ed 7 Use G- 83 Gpa à 6-m lingtk. mhen fubjectedl
TORSION
Equations of compatibility – relations between stresses that are compatible with
the deformations.
Equations of equilibrium – relations between the stresses resulting from a study
of the equilibrium between externally applied loads and the internal resisting
forces over an exploratory section.
Torsion Formulas
0 = TL/JG
0- angle of rotation (radians)
T-torque (N-m)
L- length (m)
J- polar moment of inertia (m")
G- modulus of rigidity (N/m)
If we wish to express O in degrees, we multiply the right-hand member by the unit
fraction, 180°/r rad = 57.3° /rad
By replacing the product GO/L by its equivalent value T/J:
T = Tp/J
This is called the torsion formula.
The formula that determines the maximum shearing stress is a more common
form of the torsion formula. It is obtained by replacing p by the radius r of
the shaft:
Max t = Tr/J
1. The stresses must not exceed the shearing proportional limit.
2. The formulas are applicable only to circular shafts, either solid or hollow.
Transcribed Image Text:TORSION Equations of compatibility – relations between stresses that are compatible with the deformations. Equations of equilibrium – relations between the stresses resulting from a study of the equilibrium between externally applied loads and the internal resisting forces over an exploratory section. Torsion Formulas 0 = TL/JG 0- angle of rotation (radians) T-torque (N-m) L- length (m) J- polar moment of inertia (m") G- modulus of rigidity (N/m) If we wish to express O in degrees, we multiply the right-hand member by the unit fraction, 180°/r rad = 57.3° /rad By replacing the product GO/L by its equivalent value T/J: T = Tp/J This is called the torsion formula. The formula that determines the maximum shearing stress is a more common form of the torsion formula. It is obtained by replacing p by the radius r of the shaft: Max t = Tr/J 1. The stresses must not exceed the shearing proportional limit. 2. The formulas are applicable only to circular shafts, either solid or hollow.
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