BY R. W. H. HAWKEN. 95 
The basic result is that of Euler (1707-1783), which 
will be here stated in the notation to be adopted throughout. 
(See Fig. 1). 
NY 
| 
Sav 
a 
Sole rea he Siem a, 
BG: = te 
‘Let O be the centre of coordinates 
l 
— be the length of a column fixed at one end and 
2 free at the other (equivalent to a column 
length ‘7’ pin ended). 
y be the ordinate of the deflection curve 
l 
x- the abscissa measured from O 
9° 
o~_ 
E be the Modulus of Elasticity of the material 
I be the Moment of Inertia of the cross section 
Q be the Load centrally applied. 
