Valid use of simple beam theory places limits to the d/t ratio, both high and low. Low ratio (thin pipe) will susceptible to buckling and high ratio (thick pipe) will be susceptible to additional, through-the-wall stresses. Appendix D mentions that d/t should be less than 100 for the SIFs & k's to be valid and wall thickness calculations include special consideration when d/t is less than 6.
_________________________
Dave Diehl