engineering fundamentals Discussion Forum
Directory | Career | News | Standards | Industrial | SpecSearch®
Home Membership Magazines Forum Search Member Calculators






List Recent Topics | Start a New Topic

<< Previous Message No. 21131 Next >>
Author: dr funda
Time: 06/09/10 11:56 PST
This is a reply to message no. 21130 by jpsoper
Reply | Original Message | New Topic | List Topics | List Messages on This Topic
Current Topic:
tapered beam deflection

First and foremost, we need to verify that the beam is long enough (over 100"?) so it can be treated as a "thin" beam, instead of a true 3D structure.

For a thin beam, we would use the Euler beam equation:

where E is constant but I (the area moment of inertia) is a function of x instead. It is very difficult to solve/integrate the above nonlinear equation analytically (because I's x dependency), so some type of numerical method is required.

The wind pressure would be the distributed load term p in the above equation, and it should also be a function of x, instead of a constant. This renders the above equation even more difficult to solve, assuming you know what the distrution function is in the first place.  You might want to check out the following guide from ASCE:

Wind Load Provisions

Have you considered doing this analysis emperically?



[ List Replies to This Message Only ]

Home  Membership  About Us  Privacy  Disclaimer  Contact  Advertise

Copyright © 2018 eFunda, Inc.