Skip to main content

Introduction

  • Chapter
  • First Online:
Introduction to Finite Element Analysis

Abstract

This chapter gives a brief introduction about finite element method. Closed form, analytical and finite element solution are derived for a beam with uniformly distributed pulling load. Finally, different numerical methods and its application domains are discussed.

Nature is pleased with simplicity—Sir Isaac Newton (1642–1727)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  • Clough RW (1960) The finite element method in plane stress analysis. In: Proceedings of the 2nd ACSE conference on electronic computation, Pittsburgh, PA, pp 345–378

    Google Scholar 

  • Hrennikoff A (1941) Solution of problems in elasticity by the framework method. J Appl Mech 8:169–175

    Article  MathSciNet  MATH  Google Scholar 

  • Leveque RJ (2004) Finite-volume methods for hyperbolic problems. Cambridge University Press. ISBN 0-521-00924-3

    Google Scholar 

  • Lewis RW, Nithiarasu P, Seetharamu KN (2004) Fundamentals of the finite element method for heat and fluid flow. Wiley. ISBN 9780470847886

    Google Scholar 

  • Liu GR (2003) Mesh free methods—moving beyond the finite element method. CRC press. ISBN 0-8493-1238-8

    Google Scholar 

  • Macneal RH (1994) Finite elements: their design and performance. Marcel Dekker, Inc. ISBN 0-8247-9162-2

    Google Scholar 

  • Turner MJ, Clough RW, Martin HC, Topp LJ (1956) Stiffness and deflection analysis of complex structures. J Aeronaut Sci 23(9):803–823

    Google Scholar 

  • Wunderlich W, Pilkey WD (2003) Mechanics of structures variational and computational methods, 2nd edn. CRC Press. ISBN 0-8493-0700-7

    Google Scholar 

  • Zienkiewicz OC, Taylor RL (2000) The finite element method. The basis, vol 1, 5th edn. Butterworth–Heinemann. ISBN 0 7506 5049 4

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. J. Raj Thilak .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Thilak, T.J.R., Nair, S.U. (2024). Introduction. In: Nair, S.U., Somanath, S. (eds) Introduction to Finite Element Analysis. Springer, Singapore. https://doi.org/10.1007/978-981-19-7989-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-7989-7_1

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-7988-0

  • Online ISBN: 978-981-19-7989-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics