Shear Flow corresponding to Eccentric Shear Force of a Closed-section Beam (Structural Analysis - Mechanics)

Been stumped with this question for way too long... its a beam with a thin-walled rectangular cross-section, and a shear force is acting at a distance from the shear center. I know my decomposition of that force into the torsional moment and shear-center acting shear force is correct, but for some reason the shear flows don't add up.... rather than causing a higher shear to the left of the cross-section like I'd expect from my diagram, they cause a higher shear on the right side of the cross-section, sort of the mirror image of what I would expect. I've tried finding my mistake looking at books, websites, notes but none of them address this topic directly, leaving me with no other choice. :(

Could anyone please tell me what I'm doing wrong?

Also sorry for the blurry image and messy diagrams... I'll draw a new one if it's useless.

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Thank you for the edit, exploringnet! – AED Apr 4 '13 at 14:33
This isn't really homework though. :P It's just me not understanding the topic. – AED Apr 4 '13 at 15:42
Hi AED. Welcome to Phys.SE. If you haven't already done so, please take a minute to read the definition of when to use the homework tag, and the Phys.SE policy for homework-like problems. – Qmechanic Apr 4 '13 at 15:49
Will do, thanks! – AED Apr 4 '13 at 15:51
Voting to leave open - although it's civil engineering it's enough like a standard Newtonian statics problem to fit this site and there is as yet no civil engineering SE. I do recommend you should draw up your diagrams in detail and explain the notation (the little butterfly wings representing stress profiles) - I don't think it would be wonted to many physicists. – WetSavannaAnimal aka Rod Vance Nov 2 '13 at 6:02