I am trying to calculate deflections of a beam (under their own weight) on multiple supports with a (nonsymmetric) overhang on either end.
I've done the calculations by hand but would really like to write something in Maple to do it as I have alot of configurations to calculate. Can anyone help or give me some suggests?
The way I have calculated the deflections involves calculating the reaction forces on the beam. Then calculating at general points along the beam. Integrating to give the bending moment M. Setting boundary conditions (such as M=0 at ends,M=M at supports etc). Then the deflection of the beam is given by y=(W/IE)*int(int(M)) subject to boundary conditions (y=0 at supports y'=y' at supports) where W=Load per unit mass, I=second moment of area E=Young's Modulus.
Any suggestions would be gratefully received.