PRESSED BY TWO FORCES P AND Q. 
121 
TABLE VI. Continued. 
Scantlings of Red Pine when acted upon by two forces P and Q, viz., 
P ia-the direction of the depth, Q in the direction of the breadth. 
In ttu table, Q,=P; P= pressure upon each foot in length; ]BreadTH 
The deflections each way of the timher are equal J DeptH 
Length 
in feet, 
clear 
jearing. 
Value of P. 
2456-5000 lbs. 
21-9330cwts. 
Value of P. 
2916-0000 lbs. 
26-0357cwts. 
Value of p. 
3429-5000 lbs. 
30-6205 cwts. 
Value of P. 
4000-0000 lbs. 
35-7142cwts. 
IMultipliers to give the 
breaking weight 
of every Scantliog in tlie 
table. 
In the direc- 
tion of the 
depth. 
In the direo- 
tioD of the 
breadth. 
Dtplh. Breadih. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
0 
2- 35 X 2-35 
3- 96 X 3-96 
5- 36 X 5-36 
6- 65 X 6-65 
17,017 V T.Q'y 
To/ A 7 o7 
2-49 X 2-49 
4- 19 X 4-19 
5- 68 X 5-68 
7-05 X 7-05 
Q.OO V/ 0.00 
2-63 X 2-63 
4- 42 X 4-42 
5- 99 X 5-99 
7-44 X 7-44 
8 79 X 8 79 
2-77 X 2-77 
4-66 X 4-66 
6- 31 X 6-31 
7- 83 X 7-83 
9-26 X 9-26 
4-750 
6-251 
6- 717 
7- 103 
4-750 
0 OftO 
6-251 
6- 717 
7- 103 
6 
7 
8 
9 
* lU 
9-02 X 9-02 
10- 12 X 10-12 
11- 19X11-19 
12- 23 X 12-23 
io'2o X 13-23 
9-55 X 9-55 
10- 72X10-72 
11- 85X11-85 
12- 94 X 12-94 
14-01 X 14-01 
10- 08X10-08 
11- 32X11-32 
12- 51 X 12-51 
13- 66X13-66 
14- 79 X 14-79 
10- 61 X 10-61 
11- 91 Xll-91 
13- 17X13-17 
14- 38X14-38 
15- 56 X 15-56 
7-434 
'7.'70f? 
1 1 4,0 
7- 988 
8- 227 
8-447 
7-434 
7 720 
7- 988 
8- 227 
8-447 
11 
12 
13 
14 
15 
14- 21 X 14-21 
15- 17X15-17 
16- 11 X16-11 
17- 03X17-03 
15- 05X15-05 
16- 06X16-06 
17- 06X17-06 
15- 88X15-88 
16- 95X16-95 
16-72X16-72 
8-660 
8- 840 
9- 019 
9-188 
9-348 
8-650 
8- 840 
9- 019 
9-188 
9-348 
16 
17 
18 
19 
20 
9-500 
9-645 
9-784 
9-917 
10-045 
9-500 
9-645 
9-784 
9-917 
10-045 
Deflections in the middle for each foot in length. 
See Examples. 
Value of 
D. 
of an inch. 
of an inch. 
of an inch, l-ris of an inch. 
Valne of 
P 
17 
208802-50 lbs. 
1864-30c«.ts. 
262440-00 lbs. 
2343-21 cwts. 
325802-50 lbs. 
2908-95c»'t3. 
400000-00 lbs. 
357r42cwts. 
1 Pressure uniform. 
I'alue of 
P 
"F 
130501-561bs. 
1165-19cwts. 
164025-OOlbs. 
1464-50cwt,. 
203626-56 lbs. 
181809cwts. 
250000-00 lbs. 
2232 14cwts. 
\ Pressure in the 
j middle. 
XV. 
XVI. 
XVII. 
XVIII. 
* Example.— Rtdi Pine 10 feet long, 15-56 m. by 15-56 in., with 10 x 35-7142 = 357-14 
jwts. pressure in the direction of the depth, and with 357'14 cwts. pressure in the direction 
)f the breadth, deflects each way or JLj. of an inch. 
The breaking weight, in the direction of the depth, and also of the breadth, of Red Pine 
10 feet long, 15-56 in. by 15-56 in., is 10 x 35-7142 x 8-447 = 3016-77 cwts., the pressure 
jeing uniform in both cases; or one half of that weight, viz., 1508-38 cwts., if the pressures 
ict in the middle. 
