Static analysis of functionally graded composite beams curved in elevation using higher order shear and normal deformation theory

Abstract

Abstract In the present study, higher order shear and normal deformation theory is presented for static analysis of functionally graded composite beams curved in elevation. The material properties are varying according to the power-law distribution. Governing equations and boundary conditions in the present theory are obtained using the principle of virtual work. Navier’s solution technique is taken for the solution of simply supported beams curved in elevation. Stresses and deflections of functionally graded composite beams curved in elevation are obtained. Present theory gives parabolic variation of transverse shear stress through the thickness of functionally graded beams and also satisfies zero traction boundary conditions on the top and bottom surfaces of beam.