This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: __________________________________________________________________________ Copyright 2008 D. G. Taggart, University of Rhode Island. All rights reserved. Disclaimer . 1 ABAQUS Tutorial  Beam Bending Consider the beam bending problem: Assume that the beam is made of steel (E=30x10 6 psi, G=11.5x10 6 psi) and has a 2" deep x 5" high rectangular cross section (I z =(2)(5 3 )/12=20.83 in 4 , I y =(5)(2 3 )/12=3.333 in 4 ). Determine the maximum deflection and stress in the bar and the using 8 beam elements. Compare the solution to the beam theory solution. Beam theory solution Beam theory gives the following displacement solution: ( ) ( ) ( ) ( ) 2 2 2 2 3 3 2 2 2 3 3 ( ) 2 , 6 24 ( ) ( ) 2 2 , 6 24 Pbx wx v x x b L Lx x L x a EIL EI Pa L x wx v x x a L x Lx x L a x L EIL EI = + + = + + where v(x) is the displacement, P is the concentrated force (5000 lb), x is the distance from the left end of the beam, EI is the flexural stiffness of the beam, w o is the uniform distributed load ( 50 lb/ft = 4.167 lb/in), a =15 ft and b =5 ft. The displacement field and bending stress distribution predicted by beam theory are shown below. Note that the maximum deflection, approximately 1.89 in, occurs between x=11 ft and x=12 ft and the maximum bending stress is approximately 29,700 psi at x=15 ft. __________________________________________________________________________...
View
Full
Document
This note was uploaded on 10/03/2011 for the course MCE 561 taught by Professor Sadd during the Spring '11 term at Rhode Island.
 Spring '11
 Sadd

Click to edit the document details