This paper presents a thermoelastic solution technique for beams with arbitrary quasi-static temperature distributions that create large transverse normal and shear stresses. This technique calculates the stress resultants and centroid displacements along a beam. Then, the stress resultants and temperature distribution are used to calculate the stress distributions on a cross section of the beam. Simple examples demonstrate the numerical efficiency of the proposed technique and the inadequacy of the strength of materials theory to solve these types of problems.
Issue Section:
Technical Papers
1.
Boley, B. A., and Weiner, J. H., 1960, Theory of Thermal Stresses, John Wiley and Sons, New York, pp. 76–77, 307–314, 328–332.
2.
Barrekette
, E. S.
, 1960
, “Thermoelastic Stresses in Beam
,” ASME J. Appl. Mech.
, 27
, pp. 465
–473
.3.
Pilkey
, W. D.
, and Liu
, Y.
, 1949
, “Thermal Bending Stresses on Beam Cross Section
,” Finite Elem. Anal. Design
, 6
, No. 1
, pp. 23
–31
.4.
Ugural, A. C., and Fenster, S. K., 1975, Advanced Strength and Applied Elasticity, Elsevier, New York, pp. 141–144.
5.
Timoshenko, S., and Goodier, J., 1951, Theory of Elasticity, McGraw-Hill, New York, pp. 408–409.
Copyright © 2002
by ASME
You do not currently have access to this content.