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# Amnforalineload - amn for a line load x b p0 a z w y The...

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mn a for a line load The previous computation for mn a for a patch load of size c x d centered at and ξ η from the origin of the coordinate system gives 0 2 16 sin sin sin sin 2 2 mn p m n m c n d a mn a b a b πξ πη π π π = (with m,n = 1,2,3, . . .) or 2 16 sin sin sin sin 2 2 mn P m n m c n d a mncd a b a b πξ πη π π π = (with m,n = 1,2,3, . . .) where P is the total load and 0 p is the intensity of the uniformly distributed load per unit area. Examination of the above expression reveals that the line load at hand may be expressed like the patch load considered along with the following interpretation of some dimensions: , , and approaches to zero 2 b d b c η = = Hence, 1 , z w y 0 p ξ x b a

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( 29 2 2 0 0 16 16 lim sin sin sin sin sin 2 2 2 2 8 8 sin sin with 1,2,3, . . . . 1,3,5, . . . . mn c P m n m c n P m m c a mncd a a mncd a a p P m m m n nad a na a πξ π π π πξ π π π πξ πξ π π = = = = = = where 0 p is the line load intensity per unit length.
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Amnforalineload - amn for a line load x b p0 a z w y The...

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