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Uniformly Distributed LoadThe exact representation of a uniformly distributed load (UDL) (Figure 14) is aconstant given byqxy ( , ) = qo(25)where qois the magnitude of the UDL, in terms of load per unit area (psi) . Substitutingequation (25) into equation (24) leads toor2qoqn( x) = (1 − cos( nπ)) for n= 1, 2,3,...(26)nπ4qoqn( x) = for n= 1,3,5,...(27)nπFigure 15 shows the nondimensionalized UDL approximations using variousnumbers of terms. UDL is nondimensionalized by letting q oand L be equal to unitlessnumerical values of one. Eight ( n = 1,3,..15 ) or more terms yield a relatively goodapproximation of UDL.qxy ( , ) = qoxLby∆(x,y)Figure 14: Uniformly distributed load on rectangular plate.30