759_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 759_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 09Ch09.qxd 9/27/08 1:33 PM Page 753 SECTION 9.6 Moment-Area Method Problem 9.6-11 A simple beam AB is subjected to couples M0 and 2M0 as M0 shown in the figure. Determine the angles of rotation uA and uB at the beam and the deflection d at point D where the load M0 is applied. 753 2M0 A B D L — 3 E L — 3 L — 3 Solution 9.6-11 Simple beam with two couples DEFLECTION CURVE AND M EI ANGLE OF ROTATION uB AT END B DIAGRAM tA/B AA1 A1 a uB first moment of area between A and B with respect to A 2L L 2L L 2L b + A2 a + b + A3 a +b 9 3 9 3 9 AA1 L 0 0 ; DEFLECTION d AT POINT D M0 L2 18EI Distance DD1 1 (BB1) 3 tD2/A first moment of area between A and D with respect to D D2D1 L A1 a b 9 M0L2 54EI A1 A2 1 M0 L a ba b 2 EI 3 M0 L 6EI A3 M0 L 6EI ANGLE OF ROTATION uA AT END A tB/A BB1 A1 a first moment of area between A and B with respect to B L L 2L L + b + A2 a + b 3 9 3 9 A3 a M0 L2 6EI uA BB1 L M0 L 6EI (clockwise) ; 2L b 9 D2D1 M0 L2 27EI (downward) d ; DD1 NOTE: This deflection is also the maximum deflection. ...
View Full Document

## This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

Ask a homework question - tutors are online