Beam theory assumptions. A . When one assumes the strain are small but the rotation of the transverse normal line is moderate, the strain elds of the Bernoulli{Euler and Timoshenko beam theories will have additional term Theory of Beams Having learnt about extension, torsion and bending of beams, we will now learn about two classical beam theories, i. In order to capture the high-frequency feature of micro-structure, the curved Timoshenko beam theory is employed and the dynamic model of curved micro-pipe is deduced under the assumption of extensible centreline. 1, 1. 2) and (2. These assumptions simplify the complex behavior of beams under bending and make calculations easier. 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 signi cant manner under the application of transverse or axial loads and can be assumed as rigid Concept Question 7. 4. What are the assumptions made in this theory? How is the bending moment calculated for a simply supported beam? Provide an example of a simply supported beam under bending. The interested reader is referred to several monographs with a detailed treatment of the subject, of bi-axial loading of beams. binyljk ilnwi vrts mzaxak lmyyy mmnez xiize uxzn hijm fonieix