Airys stress function -- structures

AI Thread Summary
The discussion revolves around deriving the stress function for a simply supported beam under a concentrated load at mid-span, specifically using the Airy stress function approach. The user seeks to demonstrate that the stress function satisfies the loading conditions by treating the concentrated load as a suitably distributed shear stress. They mention needing additional boundary conditions to eliminate constants in the stress function, specifically noting that the shear stress is zero at the beam's top and bottom surfaces. The user has identified some boundary conditions but is looking for further assistance in solidifying their solution. The conversation highlights the complexities involved in applying the Airy stress function to structural analysis problems.
praveenpandiyan
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Homework Statement


For (fi)= (b/6) x*y3 +C*xy show that simply supported beam of 2L loaded concentrated load at mid span.,the stress function satisfy loading condition is (fi) .treat concentrated load as shear stress suitably distributed to shoot this function. so that intergtal of limit (h to -h) for stress stress (tou)xy= (-W/2) ..

Homework Equations


see attachment

The Attempt at a Solution


boundary conditions 1. (sigma)yy=0 for y =h to -h
to remove constants in stress function i need one more boundary condition .. ?? any help ll be apreciated . thanks
 

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i found other boundary condition too ..beam shear stess (tou)xy=o at y=(-h &=+h)..thanks anyway ..
 
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