310 
MR. S. DUNKERLEY ON THE WHIRLING 
the shaft; and that being determined upon, the ratio a will fix the size of the pulley. 
For the same value of 6, therefore, we should have different values of a. 
The following are the results obtained, in this manner, from equation [B]. The 
vertical columns give the values of B for different values of a, the value of h being fixed; 
whilst the rows denote the values of B for different values of h, the value of a being 
kept the same. 
27. Values of B in the equation o) = B y^(^EI/Wc®), c Being the distance of the pulley 
from the nearer Bearing. 
Values of h = cl 1. 
Very 
small. 
1 
1 0 • 
i 
8 * 
1 
G • 
1 
5 • 
1 
4 * 
1 
3’ 
1 
2* 
Vahies of a — c/k. 
Superior 
limit 
1^732 
1-734 
1-736 
1-738 
1-747 
1-764 
1-837 
2-450 
■25 
1-677 
1-678 
1-680 
1-683 
1-691 
1-724 
1-813 
2-450 
•50 
1-500 
1-516 
1-523 
1-540 
1-570 
1-619 
1-753 
2-450 
•75 
1-145 
1-267 
1-282 
1-336 
1-396 
1-488 
1-686 
2-450 
1-00 
0 
•978 
1-048 
1-153 
1-247 
1-381 
1-633 
2-450 
1-25 
do. 
•819 
•908 
1-040 
1-151 
1-310 
1-596 
2-450 
1-50 
do. 
1 
GO 
•835 
•970 
1-095 
1-266 
1-572 
2-450 
1-75 
do. 
•700 
•795 
•940 
1-055 
1-237 
1-555 
2-450 
2-00 
do. 
•676 
•770 
•916 
1-038 
1-212 
1-543 
2-450 
inferior 
limit 
do. 
•609 
•699 
•848 
•969 
1-155 
1-500 
o 
It may be pointed out that when I is very large, and the pulley near the bearing, so 
that cjl is very small, the inferior limit for the case of the overhanging shaft (Case IX., 
§25) is the superior limit for the case of pulley on a shaft resting on two hearings, 
the value of c being the same in both cases. The superior limit varies from 2’85 
times the inferior limit to equality with it; and as the pulley is removed from the 
