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Which method uses the theorem which states that the change in the slope between two points on a straight member under flexure is equal to the area of M/EI diagram between those two points?

Which method uses the theorem which states that the change in the slope between two points on a straight member under flexure is equal to the area of M/EI diagram between those two points? Correct Answer Moment area method

Explanation:

Moment Area Theorem: Assume a loaded beam as shown below:

The M/EI diagram for the above beam is as follows:

Macaulay’s method: In Macaulay’s method differential equation for elastic curve is equated with the bending moment at the required section and by integrating the equation slope and deflection can be obtained.

Conjugate beam method:

A Conjugate beam is defined as an imaginary beam with the same dimension as that of the original beam but load at any point on the conjugate beam is equal to the bending moment at that point divided by EI (Flexural Rigidity).

Conjugate beam can be made by changing the supports

Real beam

Conjugate beam

Fixed support

Free support

Free support

Fixed support

Roller support

Hinge support

Hinge support

Roller support

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