"Propped Cantilever with Concentrated Moment
'<hr /><div style="max-width:180mm;">
'<img style="width:210pt;" alt="propped-cantilever-beam-concentrated-moment.png" class="side" src="https://calcpad.eu/media/mechanics/beams/propped-cantilever-beam-concentrated-moment.png">
'<p><b>Input data</b></p>
'Beam Length -'l = ?'m
'Load -'M = ?'kN·m
'Distances -'a = ?'m,
#post
b = l - a'm,'k = b/l
'<p><b>Internal forces</b></p>
'Bending at support
M_A = M*(1 - 3*k^2)/2'kN·m
'Shear
V = 3*M*(1 - k^2)/(2*l)'kN
'Bending at mid-span
M_a = V*a - M_A'kN·m
M_b = V*b'kN·m
'<p><b>Diagrams</b></p>
#hide
PlotWidth = 600
PlotHeight = 150
#show
'Calculate internal forces at'x_1 = ?'m
#pre

#post
'Bending
M(x) = M_A - V*x + M*(x > a)
$Plot{-M(x) @ x = 0 : l}
M(x_1)'kN·m
'Shear
V(x) = -V
$Plot{V(x) @ x = 0 : l}
V(x_1)'kN
#show
'</div>10	10	6	1