116 
THIRD SERIES — TABLES OF SCANTLINGS 
TABLE V. Continued. 
Scantlings of Red Pine when acted upon by two forces P and Q, viz., 
P in the direction of the depth, Q in the direction of the breadth. 
In this table, Q = -75 P; P = pressiire upon each foot in length;") Breadth 
•=•000. 
The deflections each way of the timber are equal j Depth 
Length 
in feet, 
clear 
bearing. 
6 
7 
8 
*9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
20 
Value of p. 
864-0000 lbs. 
7-7142cwts. 
Depth. Jireadth, 
1- 72 X 
2- 90 X 
3- 92 X 
4- 87 X 
5- 76 X 
1- 49 
2- 51 
3- 40 
4- 22 
4-99 
6- 60 X 
7- 41 X 
8- 19 X 
8- 95 X 
9- 68 X 
5- 72 
6- 42 
7- 09 
7- 75 
8- 38 
40 X 
10 X 
79 X 
46 X 
12X 
9-01 
961 
10-21 
10- 79 
11- 36 
77 X 
41 X 
04 X 
67 X 
28 X 
11- 93 
12- 48 
13- 03 
13- 57 
14- 10 
Value of p. 
1098-5000lbs. 
9-8080cwts. 
Depth. 
1-87 X 
3- 14X 
4- 25 X 
5- 27 X 
6- 24 X 
Breadth 
T-62 
2- 72 
3- 68 
4- 57 
5- 40 
7- 15 X 
8- 03 X 
8- 87 X 
9- 69 X 
10-49 X 
6-19 
6- 95 
7- 68 
8- 39 
9- 08 
Value of P. 
1372-OOOOlbs. 
12-2500cwts. 
Depth. Breadth. 
2- 01 X 
3- 38 X 
4- 58 X 
5- 68 X 
6- 72 X 
1- 74 
2- 93 
3- 96 
4- 92 
5- 82 
7- 70 X 
8- 64 X 
9- 55 X 
10- 44 X 
11- 29 X 
6- 67 
7- 48 
8- 27 
9- 04 
9-78 
11- 26X 9-76 
12- 02X10-41 
12- 77X11-06 
13- 50X11-69 
14- 22 X 12-31 
14- 92 X 12-92 
15- 61 X13-52 
16- 30X14-11 
16-97X14-70 
12-13X10-51 
12- 94X11-21 
13- 75X11-91 
14- 54X12-69 
15- 31 X 13-26 
16-07 X 13-91 
16-82X14-56 
Value of P. 
1687-50001bs. 
15-0669cwts. 
Depth. Breadth. 
215X 
3- 62 X 
4- 91 X 
6- 09 X 
7- 20 X 
1-86 
3- 13 
4- 25 
5- 27 
6- 23 
8- 25 X 7-14 
9- 26 X 8-02 
10- 24 X 8-87 
11- 18 X 9-68 
12- 10 X 10-48 
13-00 X 
13- 87 X 
14- 73 X 
15- 57 X 
16- 40 X 
11- 26 
12- 02 
12- 76 
13- 49 
14- 20 
Value of P. 
2048-OOOOlbs. 
18-2857cwts. 
Depth. Breadth. 
2- 30 X 
3- 86 X 
5- 23 X 
6- 49 X 
7- 68 X 
1-99 
3- 34 
4- 53 
5- 62 
6- 65 
8- 80 X 7-62 
9- 88 X 8-55 
10- 92 X 9-46 
11- 93X10-33 
12- 91 Xll-18 
13- 86 
14- 79 
15- 72 
16- 61 
X 12-01 
X 12-82 
X 13-61 
X 14-39 
Deflections in the middle for each foot in length. 
Value of j^Qf an inch, l-g^of aninch. 
of an inch. of an inch. 
of aninch. 
Valueof 
P 
~d" 
51840-00 lbs. 
462-85 cwts. 
71402-50 lbs. 
637-52 cwts. 
96040 00 lbs. 
857-50 cwts. 
126562-50 lbs. 
1130-02cwts. 
163840-00 lbs. 
1462-85cwts. 
Value of 
P 
'0' 
32400-00 lbs. 
289-28 cwts. 
44626-56 lbs. 
398-45 cwts. 
60025-00 lbs. 
535-93 cwts. 
79101-56 lbs. 
706-26cwts. 
102400-00 lbs. 
914-28cwts. 
X. 
XI. 
XII. 
XIII. 
XIV. 
* Example.— B,ed. Pine 9 feet long, 11-93 in. by 10-33 in., with 9 x 18-2857 = 164-57 
cwts. pressure in the direction of the depth, and with '75 x 164-57 = 123-42 cwts. pressure, 
in the direction of the breadth, deflects each way of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 9 feet long, 11-93 in. by 
10-33 in., is 9 x 18-2857 x 7-936 = 1306-05 cwts.; and in the direction of the breadth, 
the breaking weight is 9 x -75 x 18-2857 x 9-164 = 1131-09 cwts. ; the pressure being uni- 
form in both cases ; or one half of those weights, if the pressures act in the middle. 
