The maximum deflection of beam occurs when x = 0.519 l and its value is given by :ĥ. Simply Supported Beam With Gradually Varying Load :Ī simply supported beam of AB of length l carrying a gradually varying load from zero at B to w/unit length at A, is shown in fig below, The maximum deflection occurs at the mid point C and is given by :Ĥ. Simply Supported Beam With Uniformly Distributed Load :Ī simply supported beam AB with a uniformly distributed load w/unit length is shown in figure , Since b > a, therefore maximum deflection occurs in CB and its distance from B is given by :ģ. The deflection of the beam is given as follows : Simply Supported Beam With an Eccentric Point Load :Ī simply supported beam AB of length l is carrying an eccentric point load at C as shown in the fig. The deflection at the point C will be :Ģ. Simply Supported Beam With a Central Point Load :Ī simply supported beam AB of length l is carrying a point load at the center of the beam at C. Different Types of Cases for the Deflection of Beams.
It has to be modified according to the case or the type of the beam. There are many types of beams and for these different types of beams or cases the formula will not be the same. The product of E.I is known as flexural rigidity. The general and standard equations for the deflection of beams is given below : Slope of the beam is defined as the angle between the deflected beam to the actual beam at the same point. The maximum deflection of beams occurs where slope is zero.
When there is the vertical displacement at any point on the loaded beam, it is said to be deflection of beams.
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