A horizontal safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. A beam that has a width of 6 in, depth of 12 in, and length of 4 in can safely support 2,592 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 12 in long.
The safe load is?

Question

A horizontal safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. A beam that has a width of 6 in, depth of 12 in, and length of 4 in can safely support 2,592 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 12 in long.
The safe load is?

ribhu · Answer

@ChloeSmith09 
P = K. W.D^2 / L

ribhu · Answer

where K is constant of proportionality. and W,D and L are defined in question.

ribhu · Answer

2592 = K. 6.12.12/4
K=12

ribhu · Answer

now new P= 12.6.12.12/12
Pnew = 884 lbs

ribhu · Answer

this would be the answer