DEFORMATIONOF BEAMS DUE TO BENDING 1, Two basic displacement quantities of to measure deformation of the beam ) Deflection: The displacement of the centroid of a section in a direction perpendicular to the axis of the beam it is designated by y. it is positive if its direction is the same as f, otherwise it is negative P 2). Angle of rotation: The angle by which cross section turns with respect X to its original position about the neutral axis. it is designated by 0. It is ● positive if the angle of rotation rotates in the clockwise direction otherwise it 1 Is negative. 2 deflection curve: The smooth curve that the axis of the beam is transformed into after deformation is called the deflection curve. Its equation is v=f(r) Small deflection 3 The relation between the angle of rotation and the defection curve: tg 0= df →b= f dx1).Deflection：The displacement of the centroid of a section in a direction perpendicular to the axis of the beam. It is designated by v . It is positive if its direction is the same as f，otherwise it is negative. 3、The relation between the angle of rotation and the deflection curve： 1、Two basic displacement quantities of to measure deformation of the beam (1) d d tg f x f  =   =  Small deflection P x v C  C1 f 2). Angle of rotation：The angle by which cross section turns with respect to its original position about the neutral axis .it is designated by . It is positive if the angle of rotation rotates in the clockwise direction, otherwise it is negative. 2、deflection curve：The smooth curve that the axis of the beam is transformed into after deformation is called the deflection curve. Its equation is v =f (x)