Abstract
This chapter describes the slope and deflection of beams. Beams subjected to externally applied transverse loads deflect and change shape. The magnitude of any change in shape will depend upon the length of the beam, the external bending moment, the shape and size of the beam cross-section, and the modulus of elasticity of the beam material. In elastic equation of bending, the product EI is known as the flexural stiffness or flexural rigidity of the beam, with units Newton meter squared and is a measure of the resistance of the beam to a change in shape. The chapter also presents Macaulay's method. In applying the elastic equation for bending to beams carrying more than one point load or combinations of point and uniformly distributed loads, it is necessary to obtain an expression for the bending moment for each section of the beam between adjacent point loads and reactions.
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