Analytical solution for fixed-end beam subjected to uniform load

• Published in: Journal of Zhejiang University. A. Science Vol. 6; no. 8; pp. 779 - 783
• Main Author: 丁皓江 黄德进 王惠明
• Format: Journal Article
• Language: English
• Published: Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China%Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China 01.08.2005; Faculty of Engineering, Ningbo University, Ningbo 315211, China
• Subjects: 分析解; 压力函数; 固定电子束; 弹性力学; 边界条件; Fixed-end beam; Analytical solution; Stress Function
• ISSN: 1673-565X; 1862-1775
• DOI: 10.1631/jzus.2005.A0779

A bi-harmonic stress function is constructed in this work. Ariy stress function methodology is used to obtain a set of analytical solutions for both ends fixed beams subjected to uniform load. The treatment for fixed-end boundary conditions is the same as that presented by Timoshenko and Goodier （1970）. The solutions for propped cantilever beams and cantilever beams are also presented. All of the analytical plane-stress solutions can be obtained for a uniformly loaded isotropic beam with rectangular cross section under different types of classical boundary conditions.