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Shear Center Problem

  • #1

Homework Statement



The problem and cross section are attached. (#2 on the PDF)

I have to find the length of b if the shear center is at point O.

The horizontal lines that are not labeled are of length a.


The Attempt at a Solution



I took the Moment about O to get the equation for e.
I have split the cross section into 3 different sections, used tau=VQ/IT
Took the integral of tau to get V of the particular section.
I then found I total.
All of these values are respect to t,b, and a.

After I've done all this, do I set the e=0 and solve the equation for b in terms of a and t?

I am not sure if I am doing this right.
Will post the work I've done if necessary.

Thanks!
 

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