The Hardy Cross method is an iterative method for determining the flow in pipe network systems where the inputs and outputs are known, but the flow inside the network is unknown. The method was first published in November 1936 by its namesake, Hardy Cross, a structural engineering professor at the University of Illinois at Urbana–Champaign. The Hardy Cross method is an adaptation of the Moment distribution method, which was also developed by Hardy Cross as a way to determine the moments in indeterminate structures.
The introduction of the Hardy Cross method for analyzing pipe flow networks revolutionized municipal water supply design. Before the method was introduced, solving complex pipe systems for distribution was extremely difficult due to the nonlinear relationship between head loss and flow. The method was later made obsolete by computer solving algorithms employ the Newton-Raphson method or other solving methods that prevent the need to solve nonlinear systems of equations by hand.
Read more about Hardy Cross Method: History, Derivation, Example, See Also
Famous quotes containing the words hardy, cross and/or method:
“The triumphs of peace have been in some proximity to war. Whilst the hand was still familiar with the sword-hilt, whilst the habits of the camp were still visible in the port and complexion of the gentleman, his intellectual power culminated; the compression and tension of these stern conditions is a training for the finest and softest arts, and can rarely be compensated in tranquil times, except by some analogous vigor drawn from occupations as hardy as war.”
—Ralph Waldo Emerson (18031882)
“Flood-tide below me! I see you face to face!
Clouds of the westsun there half an hour
highI see you also face to face.
Crowds of men and women attired in the usual costumes, how curious you are to me!
On the ferry-boats the hundreds and hundreds that cross, returning
home, are more curious to me than you suppose,
And you that shall cross from shore to shore years hence are more to me, and more in my meditations, than you might suppose.”
—Walt Whitman (18191892)
“Argument is conclusive ... but ... it does not remove doubt, so that the mind may rest in the sure knowledge of the truth, unless it finds it by the method of experiment.... For if any man who never saw fire proved by satisfactory arguments that fire burns ... his hearers mind would never be satisfied, nor would he avoid the fire until he put his hand in it ... that he might learn by experiment what argument taught.”
—Roger Bacon (c. 12141294)