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Determine the maximum forgue tfal can be applied to a hollow circular sfeel shaft ť I0omm outside diameter and an inside diameter m'thout exceeding a shearing trees rf GOM Pa or a twist rf 0.5%%m. Use G = 83 GPa. 80-mi

Determine the maximum forgue tfal can be applied to a hollow circular sfeel shaft ť I0omm outside diameter and an inside diameter m'thout exceeding a shearing trees rf GOM Pa or a twist rf 0.5%%m. Use G = 83 GPa. 80-mi

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Subject: Strength of materials

Topic: Torsion

2- Determine the maximum forque thal can be arplied to a hollow circular sfeel shaft f (0omm oufnide diameter and an inside diameter without exceeding a Efearing trees f GOMPA r a twist f 0.5/m. Use G =3 GPa. 80-mm
Transcribed Image Text:2- Determine the maximum forque thal can be arplied to a hollow circular sfeel shaft f (0omm oufnide diameter and an inside diameter without exceeding a Efearing trees f GOMPA r a twist f 0.5/m. Use G =3 GPa. 80-mm
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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