PRESSED BY TWO FORCES P AND Q. 
113 
TABLE IV. 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=-50 
The deflections each wa 
P; P = pressure upon each foot in length;] Breadth 
y of the timber are equal J Depth 
•707. 
Length 
in feet, 
clear 
bearing. 
6 
7 
*8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
Value of P. 
2456-5000 lbs. 
21-9330cwts. 
Value of P. 
29160000 lbs. 
26-0357cwts. 
Depth. 
Breadth, 
2-57 X 
4- 31 X 
5- 85 X 
7- 26 X 
8- 58 X 
1-81 
3-05 
414 
513 
6-07 
9-84 X 6-96 
11-04X 7-81 
12'20X 8-63 
13 33 X 9-43 
14-43 X 10-20 
15- 50 X 10-96 
16- 54X11-70 
Value of p. 
3429-5000 lbs. 
30-6-205cwts. 
Depth. 
Breadth 
2 72X 
4-57 X 
6- 19 X 
7- 68 X 
9-08 X 
1-92 
3- 23 
4- 38 
6-43 
6-42 
10- 41 X 7-36 
11- 69 X 8-27 
12- 92 X 9-14 
14- 12 X 9-98 
15- 28X10-80 
16-41 XI 1-60 
Value of P. 
40000000 lbs. 
35-7142cwts. 
Depth. 
Breadth. 
2-87 X 
4-82 X 
6-54 X 
8- 11 X 
9- 59 X 
2- 03 
3- 41 
4- 62 
5- 73 
6- 78 
10-99 X 7-77 
12- 34 X 8-73 
13- 64 X 9-65 
14- 90X10-54 
16-13X11-40 
Depth. 
Breadth. 
In the direc- 
tioD of the 
depth. 
3-02 X 
5- 08 X 
6- 88 X 
8-54 X 
10-09 X 
2- 13 
3- 59 
4- 87 
6- 04 
7- 14 
11- 57 X 8-18 
12- 99 X 9-19 
14- 36X10-15 
15- 68X11-09 
16- 97X12-00 
Multipliers to give the 
breaking iveight 
of every Scantling in the 
table. 
4- 355 
5- 180 
5- 732 
6- 160 
6-513 
6- 817 
7- 085 
7-325 
7-544 
7-746 
7- 932 
8- 107 
8-271 
8-425 
8-572 
8-711 
8-844 
8- 972 
9- 094 
In the direc- 
tion of the 
breadth. 
6160 
7- 325 
8- 107 
8- 711 
9- 211 
9-641 
10-019 
10-360 
10-669 
10-954 
11-218 
11-465 
11-697 
11- 915 
12- 123 
12-320 
12-508 
12-688 
12-861 
Deflections in the middle for each foot in length. 
^"d!"'^! "S"V '^^ an inch. | of an inch. ( -g^j- of an inch. Ixstt of an inch 
See Examples. 
Value of 
P 
208802-50 lbs. 
1864-30cwt3. 
262440-OOlbs. 
2343-21 cwts. 
325802-50 lbs. 
2908-95cwts. 
400000-00 lbs. 
3571-42cwts. 
- Pressure uniform. 
13050 1-56 lbs. 
1165-19cwts. 
164025-OOlbs. 
1464-50cwts. 
203626-56 lbs. 
1818-09cwts. 
250000-00 lbs. 
2232-14cwts. 
Pressure in the 
middle. 
XV. 
XVI. 
XVII. 
XVIII. 
* Example.— Red Pine 8 feet long, 14-36 in. by 10-15 in., with 8x 35-7142=286-71 
cwts. pressure in the direction of the depth, and with '5 x 285-71 = 142-85 cwts. pressure in 
the direction of the breadth, deflects each way —1^ of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 8 feet long, 14-36 in. by 
10-15 in., is 8 X 35-7142 x 7-325 = 2092-85 cwts.; and in the direction of the breadth, the 
breaking weight is 8 x -5 x 35-7142 x 10-36 = 1480 cwts. ; the pressure being uniform in both 
cases ; or one half of those weights, if the pressures act in the middle. 
