Area moment

[thebest99]

someone please help
not sure were to start.

use the method of area-moments to derive an expression for the mid-span deflection of a simply-supported beam with the following properties:

Span= L : second moment of area of section= I : modulus of elasticitiy= E which has a total UDL along its length= W

 

[pongo38]

1. read Mohr's theorems
2 draw the bending moment diagram
3 cut the beam and the M diagram at the point of interest
4 interpret Mohr's theorems.

You would need to identify the position of the centroid of part of the M diagram and its area. There are more than one way to solve this. You must give a bit more to this forum of what you can do in order to draw in more help.