The moment area method is one of the easiest methods for finding the deflection and slope of a beam using the area under the bending moment diagram of the beam. It can be used when a beam is loaded with forces or moments at points along its span. The method utilizes Mohr's theorems, which relate the slope and deflection of the beam to the first and second moments of the area under the bending moment diagram. An example problem is worked out demonstrating the use of bending moment and M/EI diagrams to calculate the slope and deflection of the beam.

1. MOMENT -AREA METHOD
Presented By
Abhishek Kumar
B.Tech,4th Sem.(Session-2011-12)
Dept. Of CIVIL Engineering
Mewar University

2. 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.

3. PROOF
------------(1)

4. For finding slope

5. For deflection

6. Now We get
Where M.ds=area of b.m. diagram
M.x.ds=moment of area of b.m. diagram

7. Theorem 1

8. Theorem 2
These theorem is also known as Mohr’s theorem.

9. EXAMPLE
example

10. Diagrams
b.m. diagram
M/EI diagram

11. Solution

12. THANK YOU