106 THE STRUT PROBLEM. 
APPENDIX, 
Applying (18) to (11) 
f 
SS ee sive Jondge Couete areas et chagetre (CL) 
ey pa 
1+ — see y- - 
r2 q 2 
ey 
or writing —=¢ 
r2 
f 
PS ark ere ————— +, OR ERR toes (b) 
px 
1+ sec y/- - 
q 2 
This does not allow of p being deduced in terms of f 
pz 
unless an algebraical expression for sec 1/W—-- may _ be 
q 2 
found: many attempts have been made at this, and the 
author has put forward the expression* 
*Interesting and probably very useful deductions may be made 
from this. It will be seen that if‘‘a” be the induced deflection, applying 
the suggested approximation to (18) 
9) 
q 
then a=1-25se5 ————— 5 eee sce oeee « o isnee Shere oceans eaateneneneae (i) 
p 
sv 
q 
so that the deflection of a column may be computed_mentally. 
The assumption of original bending of an amount e (followed by 
Fidler, Hutt, Andrews and others) gives :— 
that is 20% less than (i) 
