J14 HYDRAULIC INVESTIGATIONS. 



the resistance to be as the angular flexure, and to increase 

 besides almost in the fiavne proportion as the radius of cur- 

 vature diminishes, but more nearly as that power of the ra- 

 dius of which the index is •£. Thus if p be the number of 

 degrees subtended at the centre of flexnre, and q the radius 

 of curvature of the axis of the pipe in French inches, we 



shall have r 



pv' 



200000 q 



nearly, or, more accurately, r =p 



•0000045 pv^q* 



. These calculations are compared with the 

 whole of Dubuat's experiments in the following table. 



Table of Experiments on the Resistance occasioned by Flexure, 



la 



