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...

An elasticity solution is obtained for a sandwich beam with a functionally graded core subjected to transverse loads. The sandwich is subdivided into four elements, the top and bottom face-sheets, and top and bottom halves of the sandwich core. Euler-Bernoulli beam theory is used to model the face-sheets and plane elasticity equations are used to analyze the core. The Young’s modulus of the cor...