A two span bridge is being designed. The structural response of the bridge will

be analysed using the stiffness method but first the moment area method must

be used to develop the shape functions for the two propped cantilever beam

elements.

Use the moment area method to calculate the moment equations and hence

draw the bending moment diagrams for a propped cantilever for the two

load$/$displacement cases show.

a$)$ Unit rotation of the encastre end.

b$)$ Point load a distance $Y$ from the pinned support

Can you explain the boundary conditions.