Quiz 3 solution

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

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

View Full Document Right Arrow Icon
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.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Evaluate constants:
Background image of page 2
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 Right Arrow Icon
Ask a homework question - tutors are online