MOMENT -AREA METHOD

Presented ByAbhishek KumarB.Tech,4th Sem.(Session-2011-12)Dept. Of CIVIL EngineeringMewar University

What is moment area method?

This is one of the easiest methods for finding deflection and slope of a beam with the

help of area of bending moment of the beam, which is loaded with some load or any

moment at any point or on whole span.

PROOF

------------(1)

For finding slope

For deflection

Now We get

Where M.ds=area of b.m. diagram

M.x.ds=moment of area of b.m. diagram

Theorem 1

Theorem 2

These theorem is also known as Mohr’s theorem.

example

EXAMPLE

Diagrams

b.m. diagram

M/EI diagram

Solution

THANK YOU