Siffness matrices for axial and bending deformations of a beam having a rectangular cross sectional area of constant width and linearly varying thickness are developed. A consistant load vector for a uniformly distributed lateral load is also calculated, using the principal of potential energy. The matrices are used to obtain numerical results for a variety of beams with non-uniform thickness to show that acceptable degrees of accuracy can be obtained. A comparison of results given by other finite element solutions is made to show the effectiveness of the derived stiffness matrices.
Sabir, A. B. (1988). Stiffness Matrices for Axial and Bending Deformations of Non-Prismatic Beams with Linearly Varying Thickness. International Journal of Engineering, 1(1), 19-28.
MLA
A. B. Sabir. "Stiffness Matrices for Axial and Bending Deformations of Non-Prismatic Beams with Linearly Varying Thickness". International Journal of Engineering, 1, 1, 1988, 19-28.
HARVARD
Sabir, A. B. (1988). 'Stiffness Matrices for Axial and Bending Deformations of Non-Prismatic Beams with Linearly Varying Thickness', International Journal of Engineering, 1(1), pp. 19-28.
VANCOUVER
Sabir, A. B. Stiffness Matrices for Axial and Bending Deformations of Non-Prismatic Beams with Linearly Varying Thickness. International Journal of Engineering, 1988; 1(1): 19-28.