Calculating shear centre of a thin walled section

[hashman]

Hey guys, I was just doing some mechanics of solids. I haven't done this section at uni yet, had holidays so was just trying to go ahead a bit. But the problem is I am completely lost on shear centre. If you could help me on a question, i'd be very grateful.

Homework Statement

The question is as follows:

Find the shear centre of the thin-walled section shown.
Hint: take the thickness of the section into consideration.

Homework Equations

First, i think we need to find the shear flow, using I= bh³/12.

 

[nvn]

hashman: That sounds correct, so far. Show your work, so we can start checking your math.

 

[nvn]

hashman: You could start by computing the second moment of area, I, of the cross section. If you post your final answer for I, without showing your work, we can tell you whether or not it is correct. After that, write expressions for the shear flow in each segment of the cross section.