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Bisshopp's beam theory

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Marijn55

Mechanical
Jan 26, 2016
2
Dear all,

I'm trying to understand the theory behind Bisshopp's large deflection beam theory.
However I'm struggling to follow the steps they described here: [URL unfurl="true"]http://www.pilch.us/papers/Large%20Deflection%20of%20Cantilever%20Beams.pdf[/url]

So I am understanding the bit up until equation (7).

What I get from (6) is that:

sin ψ = 2k^2*sin(θ)^2 - 1
sin ψ0= 2k^2 - 1

however inserting this into eq (5) gives me a different result. Plus I don't get how the integral boundaries change.

Can anyone explain? Thanks a million.
 
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