Module 7 Simple Beam Theory Learning Objectives • Review simple beam theory • Generalize simple beam theory to three dimensions and general cross sections • Consider combined effects of bending, shear and torsion • Study the case of shell beams 7.1 Review of simple beam theory Readings: BC 5 Intro, 5.1 A beam is a structure which has one of its dimensions much larger than the other two. The importance of beam theory in structural mechanics stems from its widespread success in practical applications. 7.1.1 Kinematic assumptions Readings: BC 5.2 Beam theory is founded on the following two key assumptions known as the Euler- Bernoulli assumptions: • Cross sections of the beam do not deform in a significant manner under the application of transverse or axial loads and can be assumed as rigid Concept Question 7.1.1. With reference to Figure 7.1, 1. what is the main implication of this assumption on the kinematic description (overall displacement field) of the cross section? 91
Simple Beam Theory
May 17, 2023
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