Deflection of beams
EI = dx 2 [7.3] which is known as the GENERAL DIFFERENTIAL EQUATION FOR DEFLECTION.
From this general equation the following relationships may be stated:
Differential Integrals coefficients
BENDING MOMENT (M) = EI d2y dx2 =M SLOPE «() dy
= I:dx dx DEFLECTION (y)
expression for y in terms of x and then differentiating the resulting expression with respect to x, or by writing down the expression for Min terms of x and then integrating with respect to x. The latter procedure is the most usual and is illustrated in the examples which follow.