A rectangular beam is cut from a cylindrical log of radius 20 cm. A cross-section of the log is shown below.

A rectangular beam is cut from a cylindrical log of radius 20 cm. A cross-section of the log is shown below. The strength, S, of a beam of width w and height h is proportional to whz. (a) Express the strength of the beam as a function of at only. Use k as the proportionality constant and lower case w. m = :l (b) Find the exact width and height of the beam of maximum strength. Width =