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Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft,

Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft,

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Topic: Torsion stress/deflection.

Use formula and provide step by step solution.

Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft, and where does it occur? The solid shaft shown is made of steel, (b) what is the angle of twist in degrees between A and D? 165 N-m 550 N-m 440 N-m 55 N-m 30 mm 140 mm B -0.9 m 20 mm 1.2 m 0.6 m Steel Modulus of Rigidity: G= 83, 000 MPa Provide step by step solution showing all work.
Transcribed Image Text:Torques are applied to the solid shaft shown. (a) What is the maximum shearing stress in the shaft, and where does it occur? The solid shaft shown is made of steel, (b) what is the angle of twist in degrees between A and D? 165 N-m 550 N-m 440 N-m 55 N-m 30 mm 140 mm B -0.9 m 20 mm 1.2 m 0.6 m Steel Modulus of Rigidity: G= 83, 000 MPa Provide step by step solution showing all work.
Angle of Twist formula: $ = angle of twist (radians) T= torque (N.mm) L= length (mm) G= modulus of TL rigidity (MPa) J= polar moment JG of inertia (mm) Torsion shear stress formula: = shear stress (MPa) •T = torque (N.mm) Tr •r= radius (mm) • J = polar moment of inertia (mm4) J Polar moment of Inertia formula for a solid circular shaft πά J = 32
Transcribed Image Text:Angle of Twist formula: $ = angle of twist (radians) T= torque (N.mm) L= length (mm) G= modulus of TL rigidity (MPa) J= polar moment JG of inertia (mm) Torsion shear stress formula: = shear stress (MPa) •T = torque (N.mm) Tr •r= radius (mm) • J = polar moment of inertia (mm4) J Polar moment of Inertia formula for a solid circular shaft πά J = 32
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