# Area of moment diagram

1. Jul 2, 2016

1. The problem statement, all variables and given/known data
can someone explain about the area of moment diagram ? taking the circled part as example , why it's 0.5(2)(800)(4/3) ?why shouldnt it be (800)(4/3) ??

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2. Jul 2, 2016

why there's a need to include 0.5(2) ???

3. Jul 3, 2016

### PhanthomJay

I haven't done this in a long long time, but this is part of a method to determine deflections. The method involves computing the moment of the area of the moment diagram about the reactions. The area of the triangle is one half the base (one half of 2) times the height (800). It's centroid is 4/3 from left end. Result is in Nm^3.

4. Jul 3, 2016

### Justus

We are looking for the moment area so the formula would be (area of triangle)(centroidal moment of area) and that would be (0.5)(2)(800) as triangle area and (4/3) as the centroid.

5. Jul 3, 2016

why the author taking the moment about B and 2m from A ? (in the first solution , the author taking moment about the point which 2m from A )( in the second solution , the author taking moment about B , am i right ?
why the author didnt take the moment about A ?

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6. Jul 4, 2016

why the author didnt take the moment about A into consideration ???

7. Jul 4, 2016

### Justus

He considered that is why there are two solutions (AreaAB)XA and (AreaAB)XB denoting two moment areas

8. Jul 4, 2016

i dont understand , can you explain further?

9. Jul 5, 2016

why the author wanna calculate the area moment by 2 method which is (area AB) x A and (area AB) x B ???
What's the purpose of doing so ?

Last edited: Jul 5, 2016
10. Jul 5, 2016

and I also noticed that the author didnt include the moment 400Nm in the first solution,is it wrong?

11. Jul 5, 2016

### Justus

You should review how to draw moment diagrams. It is already known that when we derive from shear to moment diagrams , any given moment is considered a straight line thus no area and that is why it isn't included in computing the moment area.

12. Jul 5, 2016

then, why the author include the moment 400Nm in the second solution ????

13. Jul 6, 2016

### Justus

Again , you should read on how to solve moment areas. The 2nd solution is the separate areas for every reaction or simply it is another way to solve the problem. Also you could see that he took the moment area about A to solve the problem and that is why there is no moment diagram for reaction A.

14. Jul 6, 2016

what do you mean by separate areas for every reaction???

15. Jul 6, 2016