Tangent moduli of hot-rolled I-shaped axial members considering various residual stress distributions

Seungjun Kim, Taek Hee Han, Deok Hee Won, Young Jong Kang

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper presents an equation for the effective tangent moduli for steel axial members of hot-rolled I-shaped section subjected to various residual stress distributions. Because of the existence of residual stresses, the cross section yields gradually even when the member is subjected to uniform axial stresses. In the elasto-plastic stage, the structural response can be easily traced using rational tangent modulus of the member. In this study, the equations for rational tangent moduli for hot-rolled I-shaped steel members in the elasto-plastic stage were derived based on the general principle of force-equilibrium. For practical purpose, the equations for the tangent modulus were presented for conventional patterns of the residual stress distribution of hot-rolled I-shaped steel members. Through a series of material nonlinear analyses for steel axial members modeled by shell elements, the derived equations were numerically verified, and the presented equations were compared with the CRC tangent modulus equation, the most frequently used equation so far. The comparative study shows that the presented equations are extremely effective for accurately analyzing elasto-plastic behavior of the axially loaded members in a simple manner without using complex shell element models.

Original languageEnglish
Pages (from-to)77-91
Number of pages15
JournalThin-Walled Structures
Publication statusPublished - 2014 Mar


  • Hot-rolled section
  • Inelastic analysis
  • Plastic hinge method
  • Residual stress
  • Tangent modulus

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanical Engineering


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