Chapter 2 DEFLECTION BEAM | ||
Topics Covered | The topic menu above allows you to move directly to any of the four sections for each topic. The sections are: Case Intro: To help introduce and understand the basic principles, a case study is presented. Theory: This section will review the basic principles and equations that you should know to answer the exam questions. It does not give detailed derivations of the theory. Case Solution: The case study is solved in detail in this section. Graphics, narrations, animations, and equations are used to help you understand how the problem was solved. |
What Is a Deflection Beam?
The deflection of a member under a load is directly related to the slope of the deflected shape of the member under that load and can be calculated by integrating the function that mathematically describes the slope of the member under that load. Deflection can be calculated by standard formula (will only give the deflection of common beam configurations and load cases at discrete locations), or by methods such as "virtual work", "direct integration", "Castigliano's method", "Macaulay's method" or the "direct stiffness method" amongst others. The deflection of beam elements is usually calculated on the basis of Euler-Bernoulli beam theory while that of a plate or shell element is calculated using plate theory or shell theory. For example: