PRESSED BY TWO FORCES P AND Q. 
105 
TABLE II. 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, = '25 P; P = pressure upon each foot in length ;|BreaDTH 
The deflections each way of the timber are equal j Depth 
in feet, 
clear 
bearing. 
Value of P. 
2456-5000 lbs 
21-9330cwts. 
Value of P. 
2916-0000 lbs. 
26-0357cwts. 
Value of P. 
3429-5000 lbs. 
30-6205cwts. 
Val 
4000- 
35- 
[le of P. 
0000 lbs 
7I42cwts. 
Multipliers to give the 
breaking weight 
of every Scantling iu the 
table. 
In the direc- 
tion of the 
depth. 
In the direc- 
tion of the 
breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. 
Breadth. 
1 
2 
3 
4 
5 
2-80X1-40 
4-71 X2-35 
6- 38X3-19 
7- 91X3-96 
9-35X4-68 
2-96X1-48 
4-98X2-49 
6-75X3-38 
8- 38X4-19 
9- 91 X4-95 
3-13X1-56 
5-26X2-63 
7- 13X3-56 
8- 84X4-42 
10-46X5-23 
3-2i: 
5-54 
7-5C 
9-31 
11-01 
>Xl-65 
1X2-77 
)X3-75 
X4-66 
X5-50 
3-994 
4 / OU 
5-256 
5-648 
5-972 
7-988 
y ouu 
10- 513 
11- 297 
11-945 
*6 
7 
8 
9 
10 
10-73X5-36 
12- 04X6-02 
13- 31X6-65 
14- 54X7-27 
15- 73X7-87 
11- 36X6-68 
12- 75X6-37 
14- 09X7-05 
15- 39X7-70 
11-99X5-99 
13- 46X6-73 
14- 88 X 7-44 
16-25X8-12 
12-6S 
14- 17 
15- 6e 
,X6-31 
'X7-08 
.X7-83 
6-251 
6-497 
6-717 
6- 918 
7- 103 
12-503 
12- 994 
13- 435 
13- 836 
14- 206 
11 
12 
13 
14 
15 
7-274 
7-434 
7-584 
7-726 
7-860 
14-548 
14- 868 
15- 169 
15-452 
15-721 
16 
7-988 
15-977 
Deflections in the middle for each foot in length. 
See Examples. 
Value of 
D 
of an inch. 
0% of an inch. 
-^x of an inch. 
Fan inch. 
Value of 
P 
208802-50 lbs. 
1864-30cwts. 
262440-00 lbs. 
2343-21 cwts. 
325802-50 lbs. 
2908-95cwts. 
4000C 
357 
)0-00lbs. 
l-42cwts. 
1 Pressure uniform. 
Value of 
P 
~D 
130501-56 lbs. 
1165-19cwts. 
164025-00 lbs 
1464-50cwts. 
203626 '56 lbs. 
1818-09cwts. 
2500C 
223 
0-00 lbs. 
214cwts. 
1 Pressure in the 
j middle. 
XV. 
XVI. 
XVII. 
X^ 
^III. 
* Example.— RtSi Pine 6 feet long, 11-36 in. by 5-68 in., with 6 x 26-0357 = 156-214cwt8. 
pressure in the direction of the depth, and with '25 x 156'214 = 39-053 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 6 feet long, 11-36 in. by 
5-68 in., is 6 X 26-0357 x 6-251 = 976-49 cwts. ; and in the direction of the breadth, the 
breaking weight is 6 x 26-0357 x -25 x 12-503 = 488-25 cwts. ; the pressure being uniform 
in both cases ; or one half of those weights, if the pressures act in the middle. 
