*Nonlinear Computational Mechanics - State of the Art*
(Eds. P.Wriggers, W.Wagner),

pp. 737-750, 1991

### A COMPUTATIONAL STUDY OF THE RESIDUAL STRESS

DISTRIBUTION IN THERMALLY LOADED BEAMS OF ARBITRARY

CROSS-SECTION ON FRICTIONAL SUPPORT

F.D. Fischer¹, E. Hinteregger¹
and F.G. Rammerstorfer²

¹Institute of Mechanics,

University of Mining and Metallurgy, Leoben, Austria

²Institute of Lightweight Structures and Aerospace
Engineering,

TU Wien,
Vienna, Austria

**Abstract** -
A beam of length 100 m with the profile of a railway rail lies on a cooling
bed during the cooling process after hot-rolling.
The analytical solution for the distribution of the frictional forces along
the beam leads to problems which are up to now unresolved.
Therefore, the Finite Element Method is used to compute both the residual
stresses in longitudinal direction and the deformations of such a horizontally
lying long beam.
The frictional forces between the beam and the cooling bed have great influence
on the remaining residual stress state.
A cold beam shows substantial differences in the residual stress distribution
between the middle and the end part.

(hjb,960710)