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beams and frames could be performed by hand using the moment distribution method. In this method, the fixed-end moments in the framing members are gradually distributed to adjacent members in a number of steps such that the system eventually reaches its natural
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289:, in 1921. At the University of Illinois Hardy Cross developed his moment distribution method. He left Illinois in 1937 to become the chair of the civil engineering department at
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multiply the moment distributed to each member at a joint by the carry-over factor at the end of the member and set this product at the other end of the member;
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at each joint distribute the unbalanced fixed-end moment among the connecting members in proportion to the constant for each member defined as "stiffness";
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add all moments – fixed-end moments, distributed moments, moments carried over – at each end of each member to obtain the true moment at the end."
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Imagine all joints in the structure held so that they cannot rotate and compute the moments at the ends of the members for this condition;
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evaluate structures, and moment distribution programs are seldom created nowadays. Today's structural analysis software is based on the
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281:, where he taught for seven years. After a brief return to general engineering practice, he accepted a position as professor of
360:, the Lamme Medal of the American Society for Engineering Education (1944), the Wason Medal for Most Meritorious Paper of the
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configuration. However the method was still an approximation but it could be solved to be very close to the actual solution.
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Leonard K. Eaton, "Hardy Cross and the Moment
Distribution Method", Nexus Network Journal, vol. 3, no. 3 (Summer 2001),
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structures. The method was in general use from c. 1935 until c. 1960 when it was gradually superseded by other methods.
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Hardy Cross's description of his method follows: "Moment
Distribution. The method of moment distribution is this:
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Today the "moment distribution" method is no longer commonly used because computers have changed the way
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474:"Hardy Cross and the "Moment Distribution Method" by Leonard K. Eaton in Nexus Network Journal v3n3"
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repeat the process until the moments to be carried over are small enough to be neglected; and
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in 1911. Hardy Cross developed the moment distribution method while working at
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Harvard John A. Paulson School of
Engineering and Applied Sciences alumni
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Volokh, K.Yu. (2002). "On foundations of the Hardy Cross method".
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applied to the displacement formulation of structural analysis.
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American
Society for Engineering Education Lamme Medal (1944),
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where he earned both B.A. and B.S. degrees. He obtained a
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349:He received numerous honors. Among these were an
160:(1935) Wason Medal for Most Meritorious Paper,
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447:International Journal of Solids and Structures
425:, University of Illinois Press, pp. 4–6,
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395:distribute these moments just "carried over";
342:is also famous for modeling flows in complex
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253:in 1909. After a year of graduate study at
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312:The Hardy Cross method is essentially the
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124:University of Illinois at Urbana-Champaign
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499:"Wason Medal for Most Meritorious Paper"
16:American structural engineer (1885–1959)
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235:Massachusetts Institute of Technology
68:Massachusetts Institute of Technology
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366:Institution of Structural Engineers
116:Institution of Structural Engineers
364:(1935), and the Gold Medal of the
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273:Cross next became an assistant
423:Hardy Cross: American engineer
1:
459:10.1016/S0020-7683(02)00345-1
237:in 1908, and then joined the
527:moment distribution programs
177:(1885–1959) was an American
927:IStructE Gold Medal winners
503:American Concrete Institute
362:American Concrete Institute
213:, who would later become a
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421:Eaton, Leanard K. (2006),
378:Moment distribution method
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183:moment distribution method
138:moment distribution method
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368:of Great Britain (1959).
243:Missouri Pacific Railroad
217:scholar. Both studied at
181:and the developer of the
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302:statically indeterminate
277:of civil engineering at
191:statically indeterminate
72:Cambridge, Massachusetts
329:direct stiffness method
314:Jacobi iterative scheme
257:he was awarded the MCE
701:Alan Garnett Davenport
629:Knud Winstrup Johansen
333:finite element methods
283:structural engineering
263:University of Illinois
223:Hampden-Sydney College
344:water supply networks
952:Structural engineers
152:Frank P. Brown Medal
791:Leslie E. Robertson
731:Olgierd Zienkiewicz
563:IStructE Gold Medal
298:structural analysis
221:. Then he attended
187:structural analysis
179:structural engineer
142:reinforced concrete
134:Significant advance
106:Structural engineer
821:David A. Nethercot
737:Santiago Calatrava
611:John Guthrie Brown
372:Hardy Cross Method
340:Hardy Cross method
325:flexibility method
241:department of the
201:Cross was born in
96:Engineering career
81:Harvard University
914:
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887:James O'Callaghan
665:Nathan M. Newmark
605:William Glanville
587:Eugène Freyssinet
453:(16): 4197–4200.
432:978-0-252-02989-9
231:civil engineering
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869:Robert Halvorson
857:Tristram Carfrae
827:William F. Baker
761:Michael Burdekin
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617:Pier Luigi Nervi
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203:Nansemond County
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36:Nansemond County
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755:John Burland
743:Anthony Hunt
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508:November 20,
506:. Retrieved
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482:. Retrieved
478:the original
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356:degree from
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112:Institutions
95:
937:1959 deaths
932:1885 births
881:Ding Jiemin
875:Jo da Silva
815:Mike Glover
767:Ian Liddell
689:Frank Newby
683:Alan Harris
593:Hardy Cross
575:Henry Adams
307:equilibrium
175:Hardy Cross
56:Nationality
23:Hardy Cross
921:Categories
845:Chris Wise
833:Allan Mann
635:Yves Guyon
581:John Baker
484:2004-08-13
408:References
197:Early life
164:Gold Medal
102:Discipline
87:Occupation
899:Paul Fast
713:Jack Zunz
321:engineers
296:Accurate
275:professor
247:St. Louis
233:from the
64:Education
641:Ove Arup
351:honorary
338:Another
207:Virginia
162:IStructE
90:Engineer
59:American
40:Virginia
565:winners
335:(FEM).
285:at the
255:Harvard
907:(2022)
901:(2021)
895:(2020)
889:(2019)
883:(2018)
877:(2017)
871:(2016)
865:(2015)
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589:(1957)
583:(1953)
577:(1922)
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269:Career
259:degree
239:bridge
154:(1959)
148:Awards
510:2014
427:ISBN
185:for
140:for
51:1959
48:Died
32:1885
29:Born
455:doi
331:or
300:of
245:in
229:in
189:of
158:ACI
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