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Cantilevered Beam with Load at End
Y = Pc*(xc^3-3*Lc*xc^2)/(6*E*Ic)
Ymax = Pc * Lc / E * I
Cantilevered Beam with Uniform Load
Ymax = -(w*Lu^4)/(8*E*Iu)
Y =-(xu^4-4*Lu*xu^3+6*Lu^2*xu^2)*(w/(24*E*Iu))
Cantilevered Beam with Moment at End
Ymax = = - (M * Lm * 2)/(2 * E * Im)
Y = - (M * xm ^ 2) /(2 * E * Im)
Supported Beam with Uniform Load
Ymax = -(5*ws*Ls^4)/(384*E*Is)
Y =-(xs^4-2*Ls*xs^3+Ls^3*xs)*ws/(24*E*Is)
Supported Beam with Center Load
Ymax =-(Ph*Lh^3)/(48*E*Ih)
Y =(4*xh^3-3*Lh^2*xh)*Ph/(48*E*Ih)
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