Simpson Adkins

02/11/2023 · Primary School

The safe load, \( L \), of a wooden beam of width \( w \), height \( h \), and length \( l \), supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 5 inches wide. 7 inches high, and 168 inches long can hold a load of 4610 pounds. What load would a beam 4 inches wide, 6 inches high, and 144 inches long, of the same material, support? Round your answer to the nearest integer if necessary.