PRESSED BY TWO FORCES P AND Q. 
101 
TABLE I. 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,="16 P; P = pressure upon each foot in length;] Breadth 
The deflections each way of the timber are equal j DepTH 
Leingtb 
in leet, 
bearing. 
Value of P. 
2456-5000 lbs 
21-9330cwts. 
Value of P. 
29 160000 lbs. 
26-0357cwts. 
Value of P. 
3429-5000 lbs. 
30-6205c«'t3. 
Valu 
4000-( 
35-'" 
e of P. 
)000 lbs. 
ri42cwts. 
Multipliers 
breakin 
of every Sc 
Ub 
In the direc- 
tioD of the 
depth. 
to give tlie 
g weight 
mtling in the 
le. 
In the direc- 
tion of the 
breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. 
Breadth. 
1 
2 
3 
4 
*5 
2-96 XM8 
4-98X1-99 
6-74 X 2-70 
8 37 X3-35 
9-89 X3-96 
3-13X1-25 
5-27X2-11 
7- 14X2-86 
8- 86 X3-54 
10-47X4-19 
3-31 Xl-32 
5-56 X2-22 
7-54X3-01 
9-35 X3-74 
11-06X4-42 
3-48 
5-85 
7-93 
9-84 
11-64 
Xl-39 
X2-34 
X3-17 
X3-94 
/N 4 OU 
3- 777 
4- 492 
4- 971 
6-342 
5- 648 
9-444 
11- 230 
12- 429 
13- 355 
14- 122 
6 
7 
8 
9 
10 
11- 34X4-54 
12- 73 X5-09 
14- 07X5-63 
15- 37X6-15 
16- 64X6-65 
12- 01 X4-80 
13- 48X5-39 
14- 90X5-96 
16-28X6-51 
12-68X5-07 
14- 23 X5-69 
15- 73 X6-29 
13- 34 
14- 98 
16-56 
X5-34 
X5-99 
5- 912 
6- 144 
6-353 
6-543 
6-717 
14- 780 
15- 361 
15- 882 
16- 357 
16-794 
11 
12 
13 
14 
15 
... 
6- 879 
7- 030 
7-173 
7-307 
7-434 
17-199 
17-577 
17- 932 
18- 267 
18-585 
Deflections in the middle for each foot in length. 
See Examples. 
Value of 
D. 
■g-y of an inch. 
of an inch. 
-gi^ of an inch. 
an inch. 
Value of 
P 
IT 
208802-50 lbs. 
1864-30cwts. 
262440-OOlbs. 
2343-21 ewts. 
325802 50 lbs. 
2908-95cwts. 
40000 
357 
D-OOlbs. 
[-42owts. 
1 Pressure uniform. 
Value of 
P 
13050 1-56 lbs. 
1165-19cwu. 
164025-00 lbs. 
1464-50cwts. 
203626-56 lbs. 
1818-09cwts. 
25000 
223 
0-00 lbs. 
2-14cwts. 
) Pressure in the 
j middle. 
XV. 
XVI. 
XVII. 
X) 
^III. 
* Example..— Red. Pine 5 feet long, 9-89 in. by 3-96 in., with 5 x 21-933 = 109-665 cwts. 
pressure in the direction of the depth, and with "16 x 109-665 = 17'5464 cwts. pressure iu 
the direction of the breadth, deflects each way ^ of an inch. 
The breaking weight, iu the direction of the depth, of Red Pine 5 feet long, 9'89 in. by 
3-96 in., is 5 X 21-933 x 5-648 = 619-38 cwts.; and in the direction of the breadth, the 
breaking weight is 5 x 21933 x -16 x 14'122 = 247-79 cwts.; the pressure being uniform 
in both cases ; or one half of those weights, viz., 309-69 cwts. and 123-89 cwts. respectively, 
the pressures being in the middle. 
o 
