Thermal Stresses in Beams

  • Richard B. HetnarskiEmail author
  • M. Reza Eslami
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 158)


As an application of the theory of thermoelasticity, thermal stress analysis of beams based on the elementary beam theory is the objective of this chapter. It begins with the derivation of formulas for axial thermal stresses and thermal lateral deflections in beams, and the associated boundary conditions are stated, see [1, 2]. The discussion on transient thermal stresses is presented, and the analysis of beams with internal heat generation follows. The formulas for thermal stresses in a bimetallic beam are discussed. The analysis of beams of functionally graded materials under steady-state and transient temperature distributions is presented, and analysis of thermal stresses in curved beams concludes the chapter.


  1. 1.
    Obata Y (2014) Beams, thermal stresses. In: Hetnarski RB (ed) Encyclopedia of thermal stresses, vol 1. Springer, Dordrecht, pp 365–372CrossRefGoogle Scholar
  2. 2.
    Eslami MR, Kiani Y (2014) In: Hetnarski RB (ed) Higher-order beam theories, encyclopedia of thermal stresses, vol 5. Springer, Dordrecht, pp 2243–2249Google Scholar
  3. 3.
    Boley BA, Weiner JH (1960) Theory of thermal stresses. Wiley, New YorkGoogle Scholar
  4. 4.
    Timoshenko S, Woinowsky-Krieger S (1959) Theory of plates and shells. McGraw-Hill, New YorkzbMATHGoogle Scholar
  5. 5.
    Burgreen D (1971) Elements of thermal stress analysis. C.P. Press, New YorkGoogle Scholar
  6. 6.
    Noda N, Hetnarski RB, Tanigawa Y (2003) Thermal stresses, 2nd edn. Taylor and Francis, New YorkGoogle Scholar
  7. 7.
    Singh JR, Thomas JR Jr, Hasselman DPH (1980) Thermal stresses in a partially absorbing flat plate symmetrically heated by thermal radiation and cooled by convection. J Therm Stress 3(3):341–349CrossRefGoogle Scholar
  8. 8.
    Tanigawa Y, Murakami H, Ootao Y (1989) Transient thermal stress analysis of laminated composite beam. J Therm Stress 12:25–39CrossRefGoogle Scholar
  9. 9.
    Chen D, Cheng S, Gerhart TD (1982) Thermal stresses in laminated beams. J Therm Stress 5:67–74CrossRefGoogle Scholar
  10. 10.
    Eslami MR, Naghdi AY, Shiari B (1996) Static analysis of thermal stresses in beams based on layer-wise theory. In: Proceedings of 1st National Aerospace and Aeronautics Conference. Amirkabir University of Technology, IranGoogle Scholar
  11. 11.
    Eslami MR, Naghdi AY, Shiari B (1997) Dynamic analysis of thermal stresses in beams based on layer-wise theory. In: Proceedings of the ISME National Conference. Tabriz University, IranGoogle Scholar
  12. 12.
    Suresh S, Mortensen A (2003) Fundamentals of functionally graded materials. IOM Communications, New YorkGoogle Scholar
  13. 13.
    Praveen GN, Reddy JN (1998) Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int. J. Solids Struct. 35:4457–4476CrossRefGoogle Scholar
  14. 14.
    Fettahlioglu OA, Steele TK (1988) Thermal deformations and stresses in circularly curved thin beams and rings. J. Therm. Stress. 11(3):233–256CrossRefGoogle Scholar
  15. 15.
    Timoshenko S (1956) Strength of Materials, vol 2, 3rd edn. Van Nostrand, Princeton, New JerseyzbMATHGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.NaplesUSA
  2. 2.Department of Mechanical EngineeringAmirkabir University of TechnologyTehranIran

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