260 CHAPTER 8 Columns
Fig.8.7
Elastic moduli for a material stressed above the elastic limit.
Fig.8.8
Determination of reduced elastic modulus.
stressdistributionischangedtotheformshowninFig.8.8(b);thelinearityofthedistributionfollows
fromanassumptionthatplanesectionsremainplane.
Astheaxialloadisunchangedbythedisturbance
∫d^1
0
σxdA=
∫d^2
0
σvdA (8.9)