Ak moment area method
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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.
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Ak moment area method
- 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)
- 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.
- 10. Diagrams b.m. diagram M/EI diagram
- 11. Solution
- 12. THANK YOU