PRESSED BY TWO FORCES P AND Q. 107 
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. 
In this table, Q=-36P; P = pressure upon each foot in length;) B READ T 
The deflections each way of the timber ai-e equal j Depth 
« -fiO 
Length 
ill feet, 
clear 
beariug. 
Value of P. 
256 0000 lbs. 
2-2857cwt8. 
Value of P. 
364-5000lbs. 
3-2544cwts. 
Value of P. 
500-0000 lbs. 
4-4642cwts. 
Value of P. 
665-5000 lbs. 
5-9419 cwts. 
Multiplier 
breakin 
of every Sca 
la 
Inthedirei- 
tion of the 
depth. 
s to give the 
g weight 
ntliog in the 
3le. 
Ill the direc- 
tion of the 
breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
5 
1- 26X -75 
2- 12X1-27 
2- 87 XI -72 
3- 56X2-13 
4*21 X2 52 
1- 42 X -85 
2- 38X1-43 
3- 23X1-94 
4- 00X2-40 
4-/3 X2-b4 
1- 57X -94 
2- 64X1-59 
3- 58X2- 15 
4- 45X2-67 
5- 26 X3-15 
1- 73X1-04 
2- 91X1-75 
3- 94X2-37 
4- 89X2-94 
5- 78X3-47 
4-180 
4- 971 
5- 502 
5- 912 
6- 251 
6967 
8- 286 
9- 170 
9-853 
10-419 
6 
*7 
8 
9 
10 
4- 82 X 2-89 
5- 41X3-25 
5- 98X3-59 
6- 54X3-92 
7- 07 X4-24 
5- 43X3-26 
6- 09X3-65 
6- 73X4-04 
7- 35X4-41 
7-96X4-78 
6-03X3-62 
6- 77X4-06 
7- 48X4-49 
8- 17X4-90 
8-84X5-31 
6- 63X3-98 
7- 44X4-47 
8- 23X4-94 
8- 99X5-39 
9- 73X5-84 
6-543 
6- 800 
7- 030 
7-241 
7-434 
10- 905 
1 1- 333 
11- 718 
12- 068 
12-390 
11 
12 
13 
14 
15 
7- 60X4-56 
8- 1 1X4-87 
8- 61X5-17 
9- 10X5-46 
9-59 X 5-76 
8- 55X513 
9- 12X5-47 
9-69X5-81 
10-24X6-15 
10-79X6-47 
9-50X5-70 
10-14X6-08 
10- 77X6-46 
11- 38X6-83 
11-99X7-19 
10- 45X6-27 
11- 15X6-69 
11- 84X7-11 
12- 52X7-51 
13- 18X7-91 
7-613 
7-781 
7- 938 
8- 086 
8-227 
12-689 
12- 968 
13- 230 
1 '^•477 
1 0 / / 
13-712 
16 
17 
18 
19 
20 
10-06X6-04 
10-53X6-32 
10- 99X6-60 
11- 45X6-87 
11-90X7-14 
11-32X6-79 
11- 85X7-11 
12- 37X7-42 
12- 88X7-73 
13- 38X8-03 
12- 58X7-55 
13- 16X7-90 
13- 74X8-24 
14- 31 X8-59 
14-87X8-92 
13- 84X8-30 
14- 48 X8-69 
15- 12X9-07 
15- 74X9-44 
16- 36X9-82 
8-361 
8-488 
8-728 
8-840 
1 0 no 
13- 935 
14- 148 
1 ^ 00 1 
14-547 
14-734 
Deflections in the middle for each foot in length. 
See Ex 
amples. 
Value of 
D. 
^ of an inch. 
4:3- of an inch. 
•^■V of an inch. 
-jy of an inch. 
Value of 
P 
"d" 
10240 00 lbs. 
91 42cwts. 
16402-50 lbs. 
1 46-45 cwts. 
25000-OOlbs. 
22321cwts. 
36602-50 lbs. 
3-26-80 cwts. 
1 Pressur 
e uniform. 
Value of 
P 
640000 lbs. 
57-14cwts. 
10251-561bs. 
91-53cwts. 
15625-OOlbs. 
139-50cwts. 
22876-56 lbs. 
204-25 cwts. 
) Pressu 
J mi 
re iu the 
ddle. 
VI. 
VII. 
VIII. 
IX. 
* Example.— Rtdi Rine 7 feet long, 6-77 in. by 4-06 in., with 7 x 500 = 3500 lbs. pres- 
sure in the direction of the depth, and with -36 x 3500 = 1260 lbs. pressure in the direction 
of the breadth, deflects each way -3^ of an inch. 
The breaking weight, in the direction of the depth, of Eed Pine 7 feet long, 6-77 iu. by 
4i 06 in., is 7 X 500 x 6-8 = 23800 lbs. ; and iu tiie direction of the breadth, the breaking 
weight is 7 X 500 x -36 x 11-333 = 14280 lbs.; the pressure being uniform iu both cases; 
or one half of those weights, if the pressures act in the middle. 
