Engineering Transactions, 19, 3, pp. 407–421, 1971

Nośność graniczna pręta z karbami obciążonego siłą podłużną i momentem zginającym

Jan MIELNICZUK
Politechnika Poznańska
Poland

The limiting load of a rod with notches loaded with longitudinal force and bending moment

The object of this paper is the determination of the limit load of a fiat rod with angular notches submitted to simultaneous stretching by an axial force N and bending by the bending moment M.

After application of the basic compounds, the existence of two types of solutions is demonstrated, in both a fiat state of strain and a fiat state of stress. The boundary curves f(m, n) = 0 obtained enable determination of the coefficients of the increase of limit load in relation to the load of a rod without notches, for the whole range of forced loads and moment loads depending on the opening angle of the notch.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

A.P. Green, Plastic yielding of notched bars due to bending, Quart. J. Mech. Appl. Math., 6, 223, 1953.

A P. Green, The plastic yielding of shallow notched bars due to bending, J. Mech. Phys. Solids, 4, 259, 1956.

A.P. GReen, B.B. Hundy, Initial plastic yielding in notch bend tests, J. Mech. Phys. Solids, 4, 128, 1956.

R. Hill, The plastic yielding of notched bars under tension, Quart. J. Mech. Appl. Math., 2, 40, 1949.

B.B. Hundy, Plane plasticity, Mettalurgia, 109, 1954.

G. Lianis, H. Ford, The yielding of notched bars due to bending, Proc. 9th Int. Congr. Appl. Mech., 8, Brussels 1957.

G. Lianis, H. Ford, Plastic yielding of notched strips under conditions of plane stress, ZAMP, 8, 360, 1957.

D.J.F. Ewing, Calculation on the bending of rigid-plastic notched bars, J. Mech. Phys. Solids,' 16, 205, 1968.

L. Dietrich, W. Szczepiński, A note on complete solution for the plastic bending of notched bars, J. Mech. Phys. Solids, 17, 171, 1969.

A. Shindo, T. So, Initial plastic yielding of a notched bars due to bending, Proc. 16th Japan. Congr. Appl. Mech., 194, 1966.

J.M. Alexander, T.J. Komoly, On the yielding of rigid-plastic bar with an Izod notch, J. Mech. Phys. Solids, 10, 265, 1962.

R. Hill, The mathematical theory of plasticity, Oxford 1950.

J.F. Bishop, On the complete solutions to problems of deformation of a plastic-rigid material, J. Mech. Phys. Solids, 2, 45, 1953.

W. Szczepiński, Wstęp do analizy procesów obróbki plastycznej, Warszawa 1967.

Л.М. Качанов, Основы теории пластичности, Москва 1969.

P.G. Hodge, Boundary value problems in plasticity, Plasticity, Proc. 2nd Symp. Naval Struct. Mech., Providence 1960, Pergamon Press, 297, Oxford 1960.