Civil Engineering Reference
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6.16.3 Example 10 - checking a braced beam
Determinethemaximummomentatelasticbucklingofthebraced533 × 210UB
92 of S275 steel shown in Figure 6.34b.
6.16.4 Example 11 - checking a monosymmetric beam
Asimplysupported6.0mlong530 × 210UB92beamofS275steelhasequaland
oppositeendmoments.Themomentresistanceistobeincreasedbyweldingafull
length 25 × 16mm plate of S275 steel to one flange. Determine the increases in
the moment resistances of the beam when the plate is welded to
(a) the compression flange, or
(b) the tension flange.
6.16.5Example 12 - checking a non-uniform beam
A simply supported 530 × 210 UB 92 beam of S275 steel has a concentrated
shear centre load at the centre of the 10.0m span.The moment resistance is to be
increased by welding 250 × 16 plates of S275 steel to the top and bottom flanges
overacentrallengthof4.0m.Determinetheincreaseinthemomentresistanceof
the beam.
References
1. Vacharajittiphan P., Woolcock, S.T., and Trahair, N.S (1974) Effect of in-plane
deformation on lateral buckling, Journal of Structural Mechanics, 3 , pp. 29-60.
2. Nethercot, D.A. and Rockey, K.C. (1971) A unified approach to the elastic lateral
buckling of beams, The Structural Engineer, 49 , pp. 321-30.
3. Timoshenko, S.P. and Gere, J.M. (1961) Theory of Elastic Stability, 2nd edition,
McGraw-Hill, NewYork.
4. Bleich, F. (1952) Buckling Strength of Metal Structures, McGraw-Hill, NewYork.
5. Structural Stability Research Council (1998) Guide to Design Criteria for Metal
Compression Members, 5th edition, (ed.T.V. Galambos) JohnWiley, NewYork.
6. Barsoum, R.S. and Gallagher, R.H. (1970) Finite element analysis of torsional and
torsional-flexural stability problems, International Journal of Numerical Methods in
Engineering, 2 , pp. 335-52.
7. Krajcinovic, D. (1969) A consistent discrete elements technique for thin-walled
assemblages, International Journal of Solids and Structures, 5 , pp. 639-62.
8. Powell, G.andKlingner, R.(1970)Elasticlateralbucklingofsteelbeams, Journal of
the Structural Division, ASCE, 96 , No. ST9, pp. 1919-32.
9. Nethercot,D.A.andRockey,K.C.(1971)Finiteelementsolutionsforthebucklingof
columns and beams, International Journal of Mechanical Sciences, 13 , pp. 945-9.
10. Hancock,G.J.andTrahair,N.S.(1978)Finiteelementanalysisofthelateralbuckling
ofcontinuouslyrestrainedbeam-columns, Civil Engineering Transactions, Institution
of Engineers, Australia, CE20 , No. 2, pp. 120-7.
 
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