PRESSED BY TWO FORCES P AND Q. 
109 
TABLE III. 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. 
lu this table, Q = -36 P; P = pressure upon each foot in length;] BreaDTH 
The deflections each way of the timber are equal j Depth 
•60. 
Length 
in feet, 
clear 
bearing. 
6 
*7 
8 
9 
10 
11 
12 
13 
14 
15 
le 
17 
18 
Value of P. 
2456-50001bs. 
Value of P. 
2916-OOOOlbs. 
Value of P. 
3429-5000 lbs. 
21-9330cwt3. 
26-0357cwts. 
30-6205 cwts. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
2-67 X 1-60 
4-50X2-70 
6- 09X3-66 
7- 56 X4-54 
2-83X1-70 
4-76X2-86 
6-45X3-87 
8-01 X4-80 
2-99 X 1-79 
5- 02 X 3-01 
6- 81 X 4-09 
8-45 X 5-07 
8-94X5-36 
9-46X5-68 
9^99 X 5-99 
10-25 X6-15 
ll'50X6-90 
12- 72X7-63 
13- 89X8-33 
15-03X9-02 
10-85 X6-51 
12- 18X7-31 
13- 46X8-08 
14- 71 X8-82 
15- 92X9-55 
11- 45X 6-87 
12- 86 X 7-71 
14- 21 X 8-53 
15- 52 X 9-31 
16- 80X10-08 
16-15X9-69 
Value of P 
4000-OOOOlbs, 
35-7142cwts 
Depth. Breadth. 
3-14X1-89 
5-29X3-17 
7- 17X4-30 
8- 90X5-34 
10-52X6-31 
12- 06X7-23 
13- 53X8-12 
14- 96X8-98 
16-34X9-80 
Multipliers to give the 
breaking weight 
of every Scantling in the 
table. 
In the direc- 
tion of the 
depth. 
4-180 
4- 971 
5- 502 
5- 912 
6- 251 
In the direc- 
tion of the 
breadth. 
6-967 
8- 286 
9- 170 
9-853 
10-419 
6-543 
6- 800 
7- 030 
7-241 
7-434 
7-613 
7-781 
7- 938 
8- 086 
8-227 
8-361 
8-488 
8-611 
Value of 
D 
Deflections in the middle for each foot in length. 
10- 905 
11- 333 
11- 718 
12- 068 
12-390 
12-689 
12- 968 
13- 230 
13-477 
13-712 
13- 935 
14- 148 
14-351 
Value of 
P 
•gVof an inch. 
208802'50lbs, 
1864-30cwts. 
130501-56 lbs. 
1165-19cwts. 
XV. 
5^ of an inch. 
26244000 lbs. 
2343-2 lewis 
16402500 lbs. 
1464-50c«'ts. 
XVI, 
Jj- of an inch. 
325802-50 lbs. 
2908-95 cwts 
203626-56 lbs. 
1818-09cwts. 
XVII. 
,-i^ofaninch 
400000-00 lbs 
3571-42cwt, 
250000-00 lbs 
2232-14cwts 
See Examples. 
I Pressure uniform. 
Pressure in the 
middle. 
XVIII. 
* Example— B.e(\ Pine, 7 feet long, 12-86 in. by 771 in,, with 7 x 30-6205 = 214-34 cwts. 
pressure in the direction of the depth, and with -36 x 214-84 = 77-16 cwts. pressure in the 
direction of the breadth, deflects each way Jy of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 7 feet long, 12-86 in. by 
7-71 in., is 7 x 30-6205 x 6-8 = 1457-5 cwts.; and in the directiou of the breadth, the 
breakmg weight is 7 x 30-6205 x -36 x 11-333 = 874-52 cwts. ; the pressure being uniform 
in both cases ; or one half of those weights, if the pressures act in the middle. 
P 
