Cantilever beam bending moment and shear force

[jaredmt]

Homework Statement

im trying to write a program for a class but first i need the formulas for the bending moment and shear force. i have the displacement and angle of the cantilever beam under a point load:

Y = -[(WX^2)/(6EI)][3a – x] for 0<x<a
Y = -[(Wa^2)/(6EI)][3x – a] for a<x<L

Theta = Wa^2/(2EI)

Homework Equations

y = displacement
E = young's modulus
I = moment of inertia
L = length of beam
w = uniform load (weight per unit length)

The Attempt at a Solution

please help, i have to write 3 programs due tomorow and can't get started without these formulas :(

 

[haruspex]

See https://structx.com/Beam_Formulas_021.html, but x and a there are distances from the fixed end; looks like your formulae measure from the free end.