Do the moment-area theorems apply only between two tangents?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.40P
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Do the moment-area theorems apply only between two tangents?

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Step 1

Moment Area theorem:

There are two moment of area theorems, these ate given as

(1)

First moment of area theorem:

In this theorem, the change in the slope between two points in a beam is equal to the area of the curvature diagram between these two points.

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