108 
FIFTH report— - 1835 . 
likewise w = 8*5 lbs., / = 144 inches, b = the different deflec¬ 
tions ; and as 56 lbs. bent the beam *63 inch, taking p — 56 lbs. 
we have e = *63 inch. 
The quantity of the deflections in the experiments above was 
calculated from the formula h 
= w d \ / 
V ■) 
(Prob.2.) 
p l (w + r)' 
In this formula d is the chord of the arc the striking body fell 
through in each instance, and the rest are as above described. 
2nd Beam.—This casting was of the same metal and dimen¬ 
sions as the last, and the experiment was made in the same 
manner, except that striking balls of different metals and weight 
were used. Weight of casting, (4 feet 6 inches long,) 7 lbs. Di~ 
stance of supports, 4 feet, as before. 
Impact with leaden hall 8| lbs. weight. 
Impact with cast iron ball lbs weight. 
' 
^ s ° 
o ££ 
O £ 
Observed chord 
of recoil of ball 
in inches. 
Calculated chord 
of recoil of ball, 
in inches. 
Observed de¬ 
flection of beam, 
in inches. 
Calculated de¬ 
flection of beam, 
in inches. 
Chord of arc fall¬ 
en through, in 
feet. 
Observed chord 
of recoil of ball, 
in inches. 
Calculated chord 
of recoil of ball, 
in inches. 
Observed de¬ 
flection of beam, 
in inches. 
Calculated de¬ 
flection of beam, 
in inches. 
1 
6*5 
7-3 
'24 
*29 
1 
6" 5 
>7 
7 
‘23 
•29 
2 
13 
14 
•46 
•57 
2 
14 
14 
*46 
*57 
3 
19 
22 
'73 
'86 
3 
20 
19*9 
'65 
*86 
4 
2 7 
29*7 
*97 
1*14 
4 
29 
30 
‘98 
1*]4 
5 
34 
39*8 
1*30 
1*43 
5 
37 
40'4 
1*32 
1-43 
6 
47 
49 
1*60 
1*72 
6 
48 
50'5 
1‘65 
1*72 
BHB——■ — -P -1 
Impact with leaden ball lbs. weight. 
Impac 
t with bell metal ball 4| lbs. weight. 
Chord of arc fall¬ 
en through. 
Observed recoil. 
Calculated re¬ 
coil. 
Observed deflec¬ 
tion. 
Calculated de¬ 
flection. 
Chord of arc fall¬ 
en through. 
Observed recoil. 
Calculated re¬ 
coil. 
Observed deflec¬ 
tion. 
Calculated de¬ 
flection. 
1 
5 
4'2 
*11 
'18 
1 
4 
5 
'13 
•18 
2 
7 
10'7 
*28 
'36 
2 
9*5 
11'5 
•30 
•36 
3 
17 
17-6 
'46 
'54 
3 
14 
17‘3 
‘45 
•54 
4 
22 
24*6 
'64 
•72 
4 
19 
25 
•65 
•72 
5 
28 
31'9 
*83 
'90 
r* 
o 
29 
30'7 
•so 
•90 
6 
33 
38'4 
l'OO 
1'08 
6 
35 
3S'4 
1-00 
L-0S 
Before the experiments on impact were made upon this beam 
it was laid horizontal on two supports 4 feet asunder, and weights 
