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Torsion

Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

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Page 1: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Torsion

Page 2: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Torque

• Def: Moment along an axle or shaft

• Equilibrium: Torque out = Torque in

Page 3: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Plane sections remain planar in torsion

Page 4: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Side view of a twisted shaft

BEFORE

AFTER TORSION APPLIED

Page 5: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in
Page 6: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Shear stress is linear with radius

Page 7: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Fundamental Equations

JG

Tl

J

Tr

G

Page 8: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

Low Stress at center of shaft is why many shafts are hollow

Page 9: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in
Page 10: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in
Page 11: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in
Page 12: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in
Page 13: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in

END

Page 14: Torsion - Mercer Universityfaculty.mercer.edu/jenkins_he/documents/TorsionEGR232.pdf · Torque •Def: Moment along an axle or shaft •Equilibrium: Torque out = Torque in