114 
FIFTH REPORT— 1S35. 
beam : and we have here — = ,w — 13lbs.l3oz. =s= 221oz., 
? p 1006 
q = r = llOoz. ; and is obtained from each of the tabulated 
pressures in the 4th column. 
The values of h would have been calculated more easily than 
as above by equation (C), prob. 3 ; but the formula used was 
conceived to stand in need of a test. 
9 th Beam.“This was a bar of cast steel 2 , 05 x *52 section, and 
6 feet 4 inches long, weighing 23^ lbs. It was laid on supports 
6 feet asunder, and the leaden cylinder was let fall upon the 
middle as before. 
This bar was bent 2*44 inches by 224 lbs. being laid gently on 
the middle. 
Heights fallen 
through, in 
inches. 
Deflections 
from impact, 
in inches. 
Calculated 
heights fallen 
through. 
Excess of real 
overcalculated 
heights fallen. 
6 
1-09 
5*14 
1 
7 
12 
1-42 
9‘49 
] 
18 
1-76 
15-34 
l 
7 
24 
2-02 
20-74 
1 
7 
The heights, in this case, were calculated by equation (C), 
problem 3. 
10 th Beam.—This was an uniform tube of wrought iron : it 
was laid horizontal on two supports, 9 feet 6 inches asunder, 
and struck upon the middle with the cylinder falling upon it; 
first, when the tube was empty, and next, when it was filled 
with leaden bullets : the bullets being put rather loosely in to 
increase its weight without affecting its flexibility. 
Weight of the empty tube, between the supports, 9*2 lbs. 
Weight of tube, when loaded, If*7 lbs. Deflection of empty 
tube, from its own weight, *26 inch. Deflection from weight of 
loaded tube *61 inch. Deflection from 28 lbs. hung in the mid- 
die of unloaded tube 1*47 inch, and of loaded tube 1*44 inch. 
Empty tube. 
Tube loaded with bullets. 
Heights fallen 
through, in 
inches. 
Deflections 
from impact, 
in inches. 
Whole deflec¬ 
tions, in inches. 
Heights fallen 
through,in 
inches. 
Deflections 
from impact, 
in inches. 
Whole deflec¬ 
tions, in inches. 
3 
2-50 
2*76 
3 
2-31 
2*92 
6 
3-20 
3-46 
6 
2-99 
3-60 
9 
3-74 
4-00 
9 
3'44 
4-05 
12 
4-02 
4-28 
12 
3*96 
4-57 
In these experiments the deflections from impact upon the 
