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P$5.$ For the beam given in P$4,$ where should a uniformly distributed load of $2$ kip$/$ft be placed to

produce $($a$)$ the maximum moment magnitude $($positive or negative$)$ at A $,$ and $($b$)$ the maximum

moment magnitude $($positive or negative$)$ at D $?$ Calculate the maximum moment magnitude at A

and D given the placements identified in $($a$)$ and $($b$).$