a.)First Moment-Area Theorem

The angle between the tangents, denoted, is equal to the difference between and

*First moment-area theorem:**The angle ** between the tangents to the deflection curve at two points A and B is equal to the area of the M/EI diagram between those points.*

b.)Second Moment-Area Theorem

** Second moment-area theorem**: The tangential deviation of point

**from the tangent at point**

*B***is equal to the first moment of the area of the**

*A***diagram between**

*M/EI***and**

*A***, evaluated with respect to**

*B***.**

*B*The first moment of the area of the M/EI diagram can be obtained by taking the product of the area of the diagram and the distance from point ** B** to the centroid

**of the area**

*C*
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