The Shakedown of Circular Arches for Movable Loads
The static approach is applied to method analysis of arches under movable loads. The shakedown load value cad be computed if the distribution of residual stresses is known, and limits of passive processes are evaluated in discrete numbers of the cross-sections layers. Numerical examples show that the first load passing is decisive and that the range of admitted shakedown loads is limited by value obtained from the first and the second passings.
References
Cz. CICHOŃ, Metodyka obliczania przystosowania luków sprężysto-plastycznych do obciążeń ruchomych, Praca doktorska, Politechnika Krakowska, 1974.
Cz. CICHOŃ, Z. WASZCZYSZYN, The shakedown of an elastic-plastic arch under movable load, J. Struct. Mech., 3, 3, 1975.
[in Russian]
J.M. DAVIES, The response of plane frameworks to static and variable repeated loading in the elastic-plastic range, The Struct. Engin., 44, 8, 277–283, 1966.
Eyre G. DAYLE, Shakedown of continuous bridges, thesis presented to Washington University in partial fulfilment of the requirements for the Degree of Doctor of Science, June, 1969.
J. A. KÖNIG, Theory of shakedown of elastic-plastic structures, Arch. Mech. Stos., 18, 227¬–238, 1966.
E. MELAN, Der Spannungszustand eines Hencky-Misesschen Kontinuums bei veränderlicher Belastung, Sitz. Ber. Ak. Wiss. Wien, IIa, 147, 73–87, 1938.
B. G. NEAL, Plastic collapse and shakedown theorems for structures of strainhardening material, J. Aero, Sci., 17, 297–306, 1950.
W. WASZCZYSZYN, CZ. CICHOŃ, Z. KĘPKA, Symetryczna forma utraty stateczności sprężysto-plastycznego łuku kołowego, Praca w przygotowaniu do druku.