MAAE 2202 Lecture Notes - Lecture 4: Junkers J 1, Hedeby Stones, Horse Length

60 views15 pages

Document Summary

A solid or tubular member is subjected to torque loads about its longitudinal axis, resulting in twisting deformation. Important applications of torsion are shafts transmitting power in machinery, structural members in aircraft, springs, etc. Consider a thin-walled cylinder subjected to a torque about its longitudinal axis, which induces shear stress tangent to the periphery of the cross-section. Shear stress is assumed to be uniform through the wall thickness. T (4. 1) t << r, typically t < 0. 1 r. L (4. 4) which is angle of twist per unit length. 4. 3 torsion of a uniform solid circular shaft. Two assumptions are made in this analysis: plane cross-sections remain plane during twisting, radial lines remain radial during twisting. Consider a solid cylinder as composed of a series of concentric thin-walled cylinders, each having the same angle of twist . From eqn (4. 5), the torque carried by an elemental cylinder can be expressed as.

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers
Class+
$8 USD/m
Billed $96 USD annually
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
30 Verified Answers