Ak moment area method
12
MOMENT -AREA METHOD Presented By Abhishek Kumar B.Tech,4 th Sem.(Session-2011-12) Dept. Of CIVIL Engineering Mewar University
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Transcript of Ak moment area method
![Page 1: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/1.jpg)
MOMENT -AREA METHOD
Presented ByAbhishek KumarB.Tech,4th Sem.(Session-2011-12)Dept. Of CIVIL EngineeringMewar University
![Page 2: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/2.jpg)
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.
![Page 3: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/3.jpg)
PROOF
------------(1)
![Page 4: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/4.jpg)
For finding slope
![Page 5: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/5.jpg)
For deflection
![Page 6: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/6.jpg)
Now We get
Where M.ds=area of b.m. diagram
M.x.ds=moment of area of b.m. diagram
![Page 7: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/7.jpg)
Theorem 1
![Page 8: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/8.jpg)
Theorem 2
These theorem is also known as Mohr’s theorem.
![Page 9: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/9.jpg)
example
EXAMPLE
![Page 10: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/10.jpg)
Diagrams
b.m. diagram
M/EI diagram
![Page 11: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/11.jpg)
Solution
![Page 12: Ak moment area method](https://reader033.fdocuments.us/reader033/viewer/2022061220/54bc1e7c4a7959af798b4578/html5/thumbnails/12.jpg)
THANK YOU