Quiz 3 solution

# Quiz 3 solution - Quiz 3 solution For the simply supported...

This preview shows pages 1–2. Sign up to view the full content.

Quiz 3 – solution For the simply supported beam, use the integration method to derive: a) the equation of the elastic curve for the beam, b) and the deflection at B. Fig. P10.11 Solution Beam FBD: ( ) 0 22 ( ) 0 Ay y y y y y LL M wL P C L wL P C F A C w L P wL P A   Moment equation: 2 ( ) ( ) 0 2 2 2 2 () 2 2 2 a a y wx wx wLx Px M M x A x M x wx wLx Px Mx   Integration of moment equation: 2 2 2 2 d v wx wLx Px EI M x dx   3 2 2 1 6 4 4 dv wx wLx Px EI C dx   (a) 4 3 3 12 24 12 12 wx wLx Px EI v C x C   (b) Boundary conditions: 0 at 0 0 at 2 vx dv L x dx  The first boundary condition is obvious, and the second is due to the symmetry of this problem.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Evaluate constants:
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/08/2011 for the course ME 650:291 taught by Professor Weng during the Fall '11 term at Rutgers.

### Page1 / 2

Quiz 3 solution - Quiz 3 solution For the simply supported...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online