Problema Solution

The safe load, L that a wooden bean can safely support depends on several factors. The safe load, L, varies jointly as the width w and the square of the depth d and inversely as the length, l. If a 12- foot long beam with 4 inches and dept 8 inches can safely support 800 pounds, what is the safe load of a 16-foot long beam that has width 3.5 inches and depth 6 inches?

Answer provided by our tutors

800 = k*4*8*8/12

k = 37.5

so

load = 37.5*3.5*6*6/16 =  295.3