Homework Answers
Moment area theorems provide two theorems for change in slope and deviation of two points. they are defined below-
1st theorem-The change in slope between any of two given points two points on the elastic curve of structure is equal to the area of the M/EI (bendingmoment/ flexural rigidity) diagram in between these two points.
2nd theorem- Vertical deviation of any point A on the elastic curve with respect to the tangent drwan at any point B is given by moment of the area under the M/EI diagram between the points A and B about A. the moment is calculated about A and its deviation wrt tangent at B is determined.
option a is incorrect as The change in slope between any of two given points two points on the elastic curve of structure is equal to the area of the M/EI (bendingmoment/ flexural rigidity) diagram in between these two points not half the area.
option b is correct.
option c and d both are incorrect as Vertical deviation of any point A on the elastic curve with respect to the tangent drwan at any point B is given by moment of the area under the M/EI diagram between the points A and B about A thus point A is on elastic curve not tangent at A.
hence correct option is only option b.
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