Skip to main content
EXTENDED SEARCH
Log in
Top

Hencky Bar-Chain Model for Buckling Analysis of Arches of Any Shape, Support and Loading Conditions

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Authors
J. M. Zhang
C. M. Wang
W. H. Pan
Published in
Proceedings of the 18th East Asia-Pacific Conference on Structural Engineering and Construction, Volume 3
Publisher
Springer Nature Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter delves into the Hencky bar-chain model (HBM), a novel discrete structural model for in-plane bifurcation buckling analysis of arches with any shape, support, and loading conditions. The HBM, pioneered by Professor Henrich Hencky in 1921, simplifies complex differential equations by substituting the axially loaded continuum Euler beam model with a finite number of rigid beam segments connected by frictionless hinges and elastic rotational springs. The chapter presents a general formulation of the eigenvalue equation based on the HBM, which can handle any arch shape, loading, and support conditions. It also includes a convergence study and verification of the model, as well as new arch buckling problems solved via the HBM. The chapter concludes by discussing the advantages of the HBM over existing numerical methods and its potential applications in structural engineering.
AI Generated

This summary of the content was generated with the help of AI.

Please log in to get access to your license.

Log in Register for free

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Business + Economics & Engineering + Technology"

Online-Abonnement

Springer Professional "Business + Economics & Engineering + Technology" gives you access to:

  • more than 102.000 books
  • more than 537 journals

from the following subject areas:

  • Automotive
  • Construction + Real Estate
  • Business IT + Informatics
  • Electrical Engineering + Electronics
  • Energy + Sustainability
  • Finance + Banking
  • Management + Leadership
  • Marketing + Sales
  • Mechanical Engineering + Materials
  • Insurance + Risk


Secure your knowledge advantage now!

inform now

Springer Professional "Engineering + Technology"

Online-Abonnement

Springer Professional "Engineering + Technology" gives you access to:

  • more than 67.000 books
  • more than 390 journals

from the following specialised fileds:

  • Automotive
  • Business IT + Informatics
  • Construction + Real Estate
  • Electrical Engineering + Electronics
  • Energy + Sustainability
  • Mechanical Engineering + Materials





 

Secure your knowledge advantage now!

inform now

Springer Professional "Business + Economics"

Online-Abonnement

Springer Professional "Business + Economics" gives you access to:

  • more than 67.000 books
  • more than 340 journals

from the following specialised fileds:

  • Construction + Real Estate
  • Business IT + Informatics
  • Finance + Banking
  • Management + Leadership
  • Marketing + Sales
  • Insurance + Risk



Secure your knowledge advantage now!

inform now
previous chapter Vibration Stability Analysis of Beam String Structures Based on Exact Matrix Stiffness Method
next chapter Early Warning of Abnormal Performance of Stay Cables Based on Variability of Cable Stiffness Spatial Distribution
Title
Hencky Bar-Chain Model for Buckling Analysis of Arches of Any Shape, Support and Loading Conditions
Authors
J. M. Zhang
C. M. Wang
W. H. Pan
Copyright Year
2025
Publisher
Springer Nature Singapore
Book
Proceedings of the 18th East Asia-Pacific Conference on Structural Engineering and Construction, Volume 3

Print ISBN: 978-981-9500-89-5

Electronic ISBN: 978-981-9500-90-1

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-981-95-0090-1_38
This content is only visible if you are logged in and have the appropriate permissions.