PRESSED BY TWO FORCES P AND Q. 
117 
TABLE V. Continued. 
JcANTLiNGs 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. 
Q this table, Q,=-75 P; P=pressure upon each foot in length ;")B 
'he deflections each way of the timber are equal j D 
EPTH 
-=•866. 
Length 
D feet, 
clear 
earing. 
6 
7 
8 
*9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
20 
Value of P. 
2456-5000 lbs. 
21-9330cwts. 
Depth. 
Breadth 
2-44 X 
4- lOX 
5- 56 X 
6- 90 X 
8-15 X 
2- 11 
3- 55 
4- 81 
5- 97 
7-06 
9-35 X 8-10 
10- 50 X 9-09 
1 1- 60 X 10-05 
12- 67X10-97 
13- 71X11-; 
14- 73X12-76 
15- 72X13-62 
16- 70X14-46 
Value of P. 
2916-0000 lbs. 
26-0357 cwts. 
Value of P. 
3429-5000 lbs. 
30-6205 cwts. 
Depth. Breadth. 
2-58 X 
4- 34 X 
5- 89 X 
7- 30 X 
8- 63 X 
2- 24 
3- 76 
5- 10 
6- 33 
7- 48 
9-90 X 8-57 
11- 11 X 9-62 
12- 28X10-64 
13- 42X11-62 
14- 52X12-58 
15- 60X13-51 
16- 64X14-42 
Depth. 
Breadth. 
2-73 X 
4-58 X 
6- 21 X 
7- 71 X 
9-llX 
2- 36 
3- 97 
5- 38 
6- 68 
7- 89 
10- 45 X 9-05 
11- 73X10-16 
12- 97X11-23 
14- 16X12-27 
15- 33X13-27 
16-46X14-26 
Value of P. 
4000-0000 lbs. 
35-7142cwts. 
Depth. Breadth. 
2-87 X 
4-83 X 
6-54 X 
8- 12X 
9- 59 X 
2-48 
4- 18 
5- 66 
7- 03 
8- 31 
ll'OOX 9-53 
12- 35X10-69 
13- 65X11-82 
14- 91 X12-91 
16-13X13-97 
Multipliers to give the 
breaking weight 
of every Scantling iu the 
table. 
In the direc. 
tion of the 
depth. 
4- 582 
5- 449 
6- 030 
6-480 
6-852 
7-171 
7-453 
7-706 
7- 936 
8- 148 
8-345 
8-528 
8-701 
8- 863 
9- 018 
9-164 
9-304 
9-438 
9-567 
9-690 
In the direc 
tion of the 
breadth. 
5- 291 
6- 292 
6- 963 
7- 482 
7-912 
8-281 
8-606 
8- 898 
9- 164 
9-409 
9-636 
9-848 
10-047 
10-234 
10-413 
10-582 
10-744 
10- 898 
11- 046 
11-189 
•'ni-sVofaninch. 
Deflections in the middle for each foot in length. 
frW of an inch. 
of an inch. 
-^TT of an inch 
See Examples. 
alueof 
208802-50 lbs. 
1864-30cwu. 
262440-00 lbs. 
2343-21 cwts. 
325802-50 lbs. 
2908-95cwt3. 
400000-00 lbs. 
3571-42™t3. 
Pressure uniform. 
alueof 
p 
130501-56 lbs. 
Il65-19cwts. 
164025-00 lbs 
1464-50ewts. 
2036-26-56 lbs. 
1818-09cwts. 
250000-00 lbs. 
2232-14cwts. 
Pressure in the 
middle. 
XV. 
XVI. 
XVII. 
XVIII. 
F.xample.—Rei Pine 9 feet long, 13-42 in. by 11-62 in., with 9 x 26-0357 = 234-32 cwts. 
ressure in the direction of the depth, and with -75 x 284-32 = 175-74 cwts. pressure in 
be direction of the breadth, deflects each way -^^ or of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 9 feet long, 13-42 in. by 
1-62 in., is 9 x 26-0857 x 7-936 = 1859-57 cwts.; and in the direction of the breadth, the 
reaking weight is 9 x -75 x 26-0857 x 9-164 = 1610-49 cwts.; the pressure being uniform in 
oth cases ; or one half of those weights, if the pressures act in the middle. 
Q 
