DEFORMATIONOF BEAMS DUE TO BENDING For the straight beam with the same shape and equal section area, the approximate differential equation of the deflection curve may be written as the following form Elf (x)=-M() 2- Determine the equation of the deflection curve(elastic curve 1). Integration of the differential equation EJ"(x)=-M(x) EIf(x)=GM(x)dx+C E/(x)=∫(∫(-Mx)dx)dx+Cix+C2 2) Boundary conditions of the displacement P P C B D )●EIf (x) = −M (x) For the straight beam with the same shape and equal section area, the approximate differential equation of the deflection curve may be written as the following form： 2、Determine the equation of the deflection curve (elastic curve) EIf (x) = −M (x) d 1 EIf (x) = (−M (x)) x +C  d 1 2 EIf (x) = ( (−M (x))dx) x +C x +C   1).Integration of the differential equation 2).Boundary conditions of the displacement P A C B P D