Beams in bending+shear: notes
This form uses the theory of beams in bending as represented by the equation M=-EJy'' with added the effect of shear deflection given by y'=χT/GA
The solution is based onto a polynomial approximation formula obtained from strain energy V minimization (choose 'Show formulae' under 'Options' to see, relationships enforcing boundary conditions not shown).
Note that the deflection due to shear is normally negligible, however in some cases it may help to have a finer picture of beam behavior.
When present, the button 'Data' will download the vectors of the coefficients (without dimensions) ai,bi,ci and d,e,f as defined in sheet's formulae.
Note that it is up to the user to link the downloaded vectors to the input data: when you download it, the vectors corresponds to the data in the sheet as you view it.