PRESSED BY TWO FOUCKS P AND Q. 
103 
TABLE II. Continued. 
ScANTMNGS of Red Pine when acted upon by two forces P and Q, viz., 
P in the dii'ection 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 
Depth 
= •50. 
length 
in feet, 
clear 
bearing. 
*6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
Value of P. 
256 0000 lbs 
2-2857cwts. 
Depth. Breadth 
1-32 X -66 
2'21XM1 
3-00 XI -50 
3- 72 X 1-86 
4- 40X2-20 
5-05 X 2-52 
5- 67X2-83 
6- 26X3-13 
6- 84X3-42 
7- 40X3-70 
7- 95X3-98 
8- 49X4-24 
9- 01X4-51 
9-53X4-76 
10-04 X 5-02 
16 
17 
18 
19 
20 
10- 53 X5-27 
11- 02X5-51 
11-51 X5-75 
11- 98X5-99 
12- 45X6-23 
Value of P. 
364-5000 lbs. 
3-2544cwts, 
Depth. Breadth. 
1- 48 X -74 
2- 49X1-25 
3- 38X1-69 
4- 19X2-09 
4-95X2-48 
5- 68X2-84 
6- 37X3-19 
7- 05X3-52 
7- 70X3-85 
8- 33X4-16 
8- 95X4-47 
9- 55X4-77 
10-14X5-07 
10- 72X5-36 
11- 29X5-64 
11- 85X5-92 
12- 40X6-20 
12- 94X6-47 
13- 48X6-74 
14- 01X7-00 
Value of P. 
500-OOOOlbs. 
4-4642cwts. 
Depth. Breadth 
Value of P. 
665-5000 lbs. 
5-941 9cwts 
1- 65 X -82 
2- 77X1-38 
3- 75X1-88 
4- 66X2-33 
5- 50X2-75 
6- 31X3-15 
7- 08X3-54 
7- 83X3-91 
8- 55X4-28 
9- 26X4-63 
9-94X4-97 
10- 61 X5-31 
11- 27X5-63 
11- 91X5-96 
12- 54X6-27 
13-17X6-58 
13- 78X6-89 
14- 38X7-19 
14- 98X7-49 
15- 57X7-78 
Depth. 
Breadth 
1-81 X -91 
3- 04X1-52 
4- 13X2-06 
5- 12X2-56 
6- 05X3-03 
6- 94X3-47 
7- 79X3-90 
8- 61X4-31 
9- 41X4-70 
10-18X5-09 
10- 93X5-47 
11- 67X5-84 
12- 39X6-20 
13- 10X6-55 
13-80X6-90 
14- 48X7-24 
15- 16X7-58 
15-82X7-91 
Multipliers to give the 
breaking weight 
of every Scantling in the 
table. 
Inthedirec 
tion of the 
depth. 
3- 994 
4- 750 
5- 256 
5-648 
5-972 
6-251 
6-497 
6-717 
6- 918 
7- 103 
7-274 
7-434 
7-584 
7-726 
7-860 
7- 988 
8- 110 
8-227 
8-339 
8-447 
In the direc- 
tion of the 
breadth. 
7-988 
9-500 
10- 513 
11- 297 
11-945 
12-503 
12- 994 
13- 435 
13- 836 
14- 206 
14-548 
14- 868 
15- 169 
15-452 
15-721 
15- 977 
16- 221 
16-454 
16-678 
16-894 
Deflections in the middle for each foot in length. 
Value of 
D. 
of an inch. 
-^j- of an inch. 
-^Vof an inch. 
XT of an inch. 
See Examples. 
Value of 
P 
D 
10240-00 lbs. 
91-42cwts. 
16402-50 lbs. 
I46-45cwts. 
25000-00 lbs. 
223-2 Icwts. 
36602-50 lbs. 
326-80cwts. 
'ressure uniform. 
Value of 
P 
"d" 
6400-00 lbs. 
57-14cwts. 
10251-56 lbs. 
91-53cwts. 
15625-00 lbs. 
139-50cwts. 
22876-56 lbs. 
204-25cwts. 
Pressure iu the 
middle. 
VI. 
VII. 
VIII. 
IX. 
* Example.— Rei Pine 6 feet long, 5-68 in. hy 2-84 in., with 6 x 364-5 = 2187 lbs. 
pressure in the direction of the depth, and with '25 x 2187 = 546-75 lbs. pressure in the 
direction of the breadth, deflects each way of an inch. 
The bireaking weight, in the direction of the depth, of Red Pine 6 feet long, 5-68 in. by 
2-84 in.,, is 6 X 364-5 x 6-251 = 13670 lbs. ; and in the direction of the breadth, the breaking 
weight is 6 x 364-5 x "25 x 12-503 = 7305 lbs. ; the pressure being uniform in both cases ; or 
oue half of those weights, if the pressures act iu the middle. 
