Deriving Mid-Span Deflection of Simply-Supported Beam

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To derive the mid-span deflection of a simply-supported beam using the area-moments method, start by applying Mohr's theorems and drawing the bending moment diagram. Identify the centroid of the relevant section of the moment diagram and calculate its area. The total uniform distributed load (UDL) along the beam must be considered, along with the beam's span (L), second moment of area (I), and modulus of elasticity (E). Multiple approaches exist for solving this problem, so providing additional context about your current understanding or specific challenges can attract more targeted assistance. Engaging with the community can enhance the problem-solving process.
thebest99
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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
 
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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.
 
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