Dr. Young's Hydraulic Investigations. 
flexure, and q the radius of curvature of the axis of the pipe 
in French inches, we shall have r = — ^ — nearly, or, more 
9 2000000 * 9 ’ 
i T 
accurately, r = • °S 000 ^P V 9 . These calculations are compar- 
ed with the whole of Dubuat’s experiments in the following 
table. 
tel srli i.Bf.'r ■ A * 
Table of Experiments on the Resistance occasioned by Flexure. 
p 
9 
v z 
r 
B. 
Y.r 
Y. 2 
P 
9 
V 1 
r 
B. 
Y. x 
Y . 2 
288 
3.22 
15030 
4-75 
6.71 
6.98 
288 
3-22 
34*5 
1.50 
*•57 
1.52 
1.58 
11330 
3 - 5 ° 
5.06 
5.26 
*44 
•75 
.78 
.76 
•79 
7*99 
2 -33 
3.21 
3-34 
72 
6.12 
•37 
•39 
.38 
•39 
35 ic 
1.08 
1.56 
1.62 
196.5 
•75 
•78 
•55 
.62 
216 
7216 
2.49 
2.49 
2.42 
2.52 
j* *2.5 
•53 
1.50 
3 63 
3.00 
144 
1.50 
1.66 
1 61 
1.67 
720 
3.22 
5125 
5.90 
5.90 
5.72 
5-95 
72 
•75 
•83 
.80 
•83 
,288 
3458 
1.64 
1.59 
*•54 
1.60 
196.5 
6.12 
1.50 
1.66 
1.16 
i- 3 * 
860 
.41 
.40 
.38 
.40 
* 47-4 
1. 12 
1.24 
.87 
.98 
821 
•39 
•38 
•37 
•38 
9 8 -3 
•75 
•83 
.58 
•6 5 
288 
4.10 
3448 
i -33 
1. 21 
1.30 
49.1 
•37 
.41 
.29 
•33 
7449 
2.90 
1 K 
2.59 
2.78 
1 12.5 
•53 
6.00 
7.68 
6.36 
294.8 
9-9 ] 
8.64 
99 
5.90 
6.74 
5.60 
360 
4.1 L 
8.08 
8.62 
288 
3.22 
3415 
1.50 
1 -57 
1.52 
1.58 
1 12.5 
1.1 J 
3 
In the last three experiments, the diameter of the pipe was 
two inches. The radius of curvature is not ascertained within 
the tenth of an inch, as Dubuat has not mentioned the thick- 
ness of the pipes. The mean error of his formula in fifteen 
experiments, and of mine in twenty, is of the whole. 
