This means that there are points between these two where the stress is zero. The plane cross sections remain plane before and after bendingĪs a result of this bending, the top fibres of the beam will be subjected to tension and the bottom to compression.The stress levels attained during tension and compression do not exceed the elastic limit and it is well within the linear graphical region where Young’s modulus is obeyed.The geometry of the overall member is such that bending is the primary cause of failure and not buckling.Resultant of the applied loads lie in the plane of symmetry.The beam is made of homogenous material and the beam has longitudinal plane of symmetry.The beam is initially straight and has a constant cross-section.Under this theory, the following assumptions are made: This theory is based on the flexure formula. This theory covers the case for small deflections of a beam that is subjected to lateral loads alone. The Euler Bernoulli’s theory also called classical beam theory (beam theory 1) is a simplification of the linear theory of elasticity which provides a means for calculating the load carrying and deflection characteristics of beams. To calculate the slope of the graph and verify it to be the geometric parameter (y/I), where 'y' is max fiber distance from neutral axis and 'I' is the second area moment of Inertia 1.To plot the experimental flexural stress against the applied moment (load cell force times lever arm) and verify graph is a straight line and to compare the plot obtained to the model plot shown in figure.Ģ.
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