Beam deflection in a cantilever beam

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Discussion Overview

The discussion focuses on calculating the deflection of a cantilever beam subjected to both an even distributed load and multiple concentrated loads. The context includes finding appropriate equations and methods for determining deflection profiles in structural mechanics.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant requests assistance in finding the equation for deflection of a cantilever beam with specific loads.
  • Another participant suggests breaking the problem into three separate cases: one for the distributed load and two for the concentrated loads at specified distances from the clamped end.
  • The second participant advises that the deflection profiles for each case can be found in mechanics of materials resources.
  • A later reply expresses gratitude for the assistance provided.

Areas of Agreement / Disagreement

Participants appear to agree on the approach of splitting the problem into separate cases, but no consensus on specific equations or methods is established.

Contextual Notes

Limitations include the need for specific equations from mechanics of materials texts and the potential complexity of combining deflection profiles from different loading conditions.

Who May Find This Useful

Students and professionals interested in structural engineering, mechanics of materials, and beam deflection analysis may find this discussion relevant.

anthonym44
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I need help finding the equation for a 25ft cantilever beam deflection where the beam has an even distributed load of 3000 lbs/ft and also has concentrated loads of 4000lbs 8ft from the clamped end and 5000lbs 18ft from the clamped end. A generic equation from a Roark table would do, but I am having trouble finding one. Any help is appreciated. thanks in advance.
 
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What you are going to need to do is split the beam up into three different problems:

1) Cantilever beam with distributed load
2) Cantilever beam with concentrated load at 8 ft
3) Cantilever beam with concentrated load at 25 ft

Find the deflection profile for each of these cases and then add them all together. The deflection profile can be found in the back of any mechanics of materials book.

Hope this helps,

jrw
 
yes, that helps me a lot. Thank you very much.
 
no problem
 

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