MOMENT AREA METHOD OF STRUCTURAL ANALYSIS:

Theorem – I

The change in slope between tangents drawn to the elastic curve at any two points A and B is equal to the product of clip_image001 and the area of the moment diagrams between those two points (figure 1(a)).

MOMENT AREA METHOD

Theorem – II

The deviation of any point B relative to a tangent drawn to the elastic curve at any other point A, in a direction perpendicular to the original position of the beam, is equal to the product of clip_image001[1] and the moment of area about B of that part of the moment diagram between points A and B (figure 1(b)).

MOMENT AREA METHOD

MOMENT AREA METHOD

Fig.1

This method is useful for finding slope and deflection at a specified position.

Example:

MOMENT AREA METHOD

MOMENT AREA METHOD(Area of Bending Moment diagram between A and C)

MOMENT AREA METHOD

clip_image010(moment of area of the BMD between A and C about C)

MOMENT AREA METHOD

MOMENT AREA METHOD

Gopal Mishra

Gopal Mishra

Gopal Mishra is a Civil Engineer from NIT Calicut and has more than 9 years of experience in Civil Engineering and Construction. He is the founder of The Constructor.