Advertisement

Ingenieur-Archiv

, Volume 28, Issue 1, pp 89–98 | Cite as

The idealized column

  • N. J. Hoff
Article

Summary

Graphic methods and simple amalytic formulas are presented for the determination of the quantities of greatest interest in the elastic, plastic and creep buckling of columns. The results are rigorously valid only for columns of idealized I section and they represent good approximations in the case of extruded and built up sections.

Keywords

Neural Network Complex System Information Theory Nonlinear Dynamics Graphic Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

a

non-dimensional deviation amplitude

a1, a2

distances along strain axis

b1, b2

distances along strain axis

B

constant in Ramberg-Osgood relationship

E

modulus

F

function

G

function

h

distance between flanges

k

exponent in Ramberg-Osgood relationship

L

length of column

m

positive number less than unity

n

exponent in creep law

P

compressive load

x

longitudinal coordinate

y

deviation of median line from line of action of force

ɛ

strain

χ

curvature

λ

constant in creep law

σ

stress

ϱ

radius of gyration of section

Symbols used as subscripts mean

c

concave side of column

cr

critical

cr.r

critical reduced

E

Euler

red

reduced

rev

reversal

t

tangent; convex side of column

0

average or nominal; condition after load application but before creep

00

condition before load application

1

point 1

2

point 2

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1959

Authors and Affiliations

  • N. J. Hoff
    • 1
  1. 1.Department of Aeronautical EngineeringStanford UniversityStanford

Personalised recommendations