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Beam Deflection Loading

by Quantumsatire
Tags: beam, deflection, loading
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Quantumsatire
#1
Mar21-14, 10:19 AM
P: 10
I was wondering how you would derive the moment and elastic curve equations for an incomplete triangular load. Say you have a pin at the left end of the beam and a roller at L/2 from the left, and a triangular load that goes from the pin and ends at the roller. I know you have to do some kind of extension, but how do you come up with the formula.
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timthereaper
#2
Mar21-14, 10:32 AM
P: 343
When you say "triangular load", you mean a distributed load that's zero at the left end and increases linearly to the roller at L/2?
paisiello2
#3
Mar21-14, 10:38 AM
P: 558
If you know Δ(x) and θ2 for a simply supported beam as a function of L' = L/2 with a triangular load then the deflection would be:

Δ = Δ(x) for x=<L/2
= θ2*(x-L/2) for x>=L/2

Quantumsatire
#4
Mar21-14, 10:59 AM
P: 10
Beam Deflection Loading

@timthereaper yes


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