02-02ChapGere.0006

# 02-02ChapGere.0006 - A-PDF Split DEMO Purchase from...

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

Problem 2.3-14 A bar ABC revolves in a horizontal plane about a vertical axis at the midpoint C (see figure). The bar, which has length 2 L and cross-sectional area A , revolves at constant angular speed . Each half of the bar ( AC and BC ) has weight W 1 and supports a weight W 2 at its end. Derive the following formula for the elongation of one-half of the bar (that is, the elongation of either AC or BC ): 3 L g 2 EA 2 ( W 1 3 W 2 ) in which E is the modulus of elasticity of the material of the bar and g is the acceleration of gravity. Solution 2.3-14 Rotating bar SECTION 2.3 Changes in Lengths under Nonuniform Conditions 85 A C B L L W 2 W 1 W 1 W 2 C B L W 1 W 2 x F(x) dx d angular speed A cross-sectional area E modulus of elasticity g acceleration of gravity F ( x ) axial force in bar at distance x from point C Consider an element of length dx at distance x from point C . To find the force F ( x ) acting on this element, we must find the inertia force of the part of the bar from
This is the end of the preview. Sign up to access the rest of the 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