Slope Deflection Method in Nonlocal Axially Functionally Graded Tapered Beams

In this study, the slope deflection method was presented for structures made of small-scaled axially functionally graded beams with a variable cross section within scope nonlocal elasticity theory. The small-scale effect between individual atoms cannot be neglected when are small in size. Therefore, theory is used throughout. stiffness coefficients and fixed-end moments calculated using initial values. With method, solution differential equation system reduced to linear system. given transfer matrix unique problem can easily solved any end condition loading. problem, double integrals occur terms matrix. However, form not suitable numerical calculations. help Cauchy’s repeated integration formula, single integrals. analytical or calculation easier than It demonstrated that plays an important role beams.