Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-15T01:30:30.923Z Has data issue: false hasContentIssue false
  • English
  • Français

Large deflections of a cantilever beam subjected to a tip concentrated rotational load

Published online by Cambridge University Press:  04 July 2016

B. Nageswara Rao ,
B. P. Shastry  and
G. Venkateswara Rao
B. Nageswara Rao
Affiliation:
Aerospace Structures Division, Vikram Sarabhai Space Centre Trivandrum, India
B. P. Shastry
Affiliation:
Aerospace Structures Division, Vikram Sarabhai Space Centre Trivandrum, India
G. Venkateswara Rao
Affiliation:
Aerospace Structures Division, Vikram Sarabhai Space Centre Trivandrum, India
Get access Rights & Permissions [Opens in a new window]

Summary

Large deflection analysis of a cantilever beam under a tip concentrated rotational load governed by a second order non-linear differential equation is solved using a fourth-order Runge-Kutta integration scheme. Initially the two point boundary value problem is converted to an initial value problem by estimating one of the two required initial conditions in an iterative process, so as to satisfy the other boundary condition. The details of load deflection curves are presented.

Type
Research Article
Information
The Aeronautical Journal , Volume 90 , Issue 897 , September 1986 , pp. 262 - 266
Copyright
Copyright © Royal Aeronautical Society 1986 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Bisshopp, K. E. and Drucker, D. C., Large deflections of cantilever beams. Q Appl Math, 1945, 3, 272–275.Google Scholar
2. Walker, A. C. and Hall, D. G., An analysis of the large deflections of beams using the Rayleigh-Ritz finite element method. Aeronaut Q, 1968, 19, 357–367.Google Scholar
3. Huddleston, J. V., A numerical technique for elastic problems. J Eng Mech Div, ASCE, 1968, 94, 1159–1165.Google Scholar
4. Tada, Y. and Lee, G. C., Finite element solution to an elastica problems of beams. Int J Num. Math Eng 1970, 2, 229–241.Google Scholar
5. J. W., Bunce, Discussion of Paper by Yasuo Tada and George C. Lee. Int J Num. Math Eng, 1972, 4, 145–148.Google Scholar
6. Venkateswara Rao, G.. On the large deflection of beams. J Aeronaut Soc of India, 1975, 27, 136–138.Google Scholar
7. Venkateswara Rao, G. and Kanaka Raju, K.. Variational formulation for the finite deflection analysis of slender cantilever beams and columns. J Aeronaut Soc of India, 1977, 29, 133–135.Google Scholar
8. Timoshenko, S. P. and Gere, J. M.. Theory of Elastic stability. McGraw-Hill, New York, 1961.Google Scholar
9. Collatz, L., The Numerical Treatment of Differential equations. Springer-Verlag, New York, 1966.Google Scholar