03-03ChapGere.0006

# 03-03ChapGere.0006 - S TRAIN ENERGY OF ELEMENT dx S TRAIN...

This preview shows page 1. Sign up to view the full content.

Solution 3.9-8 Cantilever bar with distributed torque SECTION 3.9 Strain Energy in Torsion 241 x distance from right-hand end of the bar E LEMENT d Consider a differential element d at distance from the right-hand end. dT external torque acting on this element dT t ( ) d E LEMENT dx AT DISTANCE x T ( x ) internal torque acting on this element T ( x ) total torque from x 0 to x x t 0 x 2 2 L T ( x ) x 0 dT x 0 t 0 ¢ j L d j t 0 ¢ j L d j L t(x) = t 0 t 0 x L dx x d
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: S TRAIN ENERGY OF ELEMENT dx S TRAIN ENERGY OF ENTIRE BAR U 5 t 2 L 3 40 GI P 5 t 2 8 L 2 GI P ¢ L 5 5 ≤ U 5 # L dU 5 t 2 8 L 2 GI P # L x 4 dx 5 t 2 8 L 2 GI P x 4 dx dU 5 [ T ( x ) ] 2 dx 2 GI P 5 1 2 GI P ¢ t 2 L ≤ 2 x 4 dx A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern