Topic
Bending moment
About: Bending moment is a research topic. Over the lifetime, 14577 publications have been published within this topic receiving 158834 citations. The topic is also known as: bending moment.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the dynamic stiffness matrix of a spinning composite beam is developed and then used to investigate its free vibration characteristics, including the bending-torsion coupling effect that arises from the ply orientation and stacking sequence in laminated fibrous composites.
60 citations
60 citations
TL;DR: In this paper, a method to identify moving forces on a continuous bridge has been developed, where the bridge is modelled as a Bernoulli-Euler beam and the boundary value problem of the beam is solved to get the exact mode shape functions of the vibrating beam with intermediate supports.
60 citations
TL;DR: In this paper, a nonlinear model was developed by using nonlinear relationships between curvatures and bending moments, and the three resulting equations in bending and torsion are highly coupled and the Newton-Raphson algorithm with displacement control was adopted for the solution.
Abstract: The post-buckling analysis of thin-walled elements under compression is investigated. A nonlinear model is developed by using nonlinear relationships between curvatures and bending moments. Warping and shortening effects are considered in the torsion equilibrium equation. Based on Galerkin's method, a nonlinear algebraic system is obtained for simply supported boundary conditions. The three resulting equations in bending and torsion are highly coupled and the Newton–Raphson algorithm with displacement control is adopted for the solution. The post-buckling equilibrium curves are obtained for various sections shapes, such as bisymmetric and monosymmetric sections. The importance of the shortening effect is outlined.
60 citations
TL;DR: The analysis of a beam-column using stability functions as an alternative to the stress stiffness matrix is discussed in this article, in terms of member length, cross-sectional properties, axial force, and the end moments.
Abstract: Members carrying both axial force and bending moment are subjected to an interaction between these effects. The analysis of a beam-column using stability functions as an alternative to the stress stiffness matrix is discussed. Explicit expressions for stability functions for three-dimensional beam-columns, in terms of member length, cross-sectional properties, axial force, and the end moments, are derived. The effect of flexure on axial stiffness and the effect of axial force on flexural stiffness and stiffness against translation are considered in the derivation of stability functions. The effect of axial force on torsional stiffness and the effect of torsional moment on axial stiffness are neglected. The nonlinear stiffness matrix of a three-dimensional beam-column using the stability functions is presented by modifying the linear elastic stiffness matrix for a beam-column (which includes the effect of shear deformations) available in the literature. A numerical example showing the calculation of stability functions for a given beam-column is also presented.
59 citations