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Unformatted text preview: beam (variable cross sectional area). c) Since the moment in a beam usually varies along its length, the choice of a prismatic beam is usually inefficient since it is never fully stressed at points where the internal moment is less than the maximum moment in the beam d) Often used since they can be readily formed by casting, stress analysis is difficult for non-prismatic beams Fully-stressed beam a) a fully stressed beam is when the internal moment is expressed in terms of x along the beam and since sigma allow is constant, the section modulus S or the beams dimensions become a function of x. b) S=M/sigma allow Radius of Curvature a) beams that are deflected at some point have some radius of curvature. b) The radius of curvature of the arc is defined as the distance p which is measured from the center of curvature O to dx c) P is the radius curvature at the point on the elastic curve d) 1/p is referred to as the curvature...
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- Fall '10