PRESSED BY TWO FORCI<:s P AND Q. 
89 
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, G = -16 P; P = pressm-e upon each foot in length; |Breadth 
The deflections each way of the timber are equal | Depth 
= •40. 
Length 
in feet, 
clear 
bearing. 
Value of P. 
256-0000 lbs. 
2-2857cwts. 
1 
2 
3 
4 
*5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
20 
Depth. Breadth, 
1- 39 X -56 
2- 34 X -94 
3- 17X1-27 
3- 94X1-58 
4- 66X1-86 
6-34X2-13 
5- 99 X2-40 
6- 62X2-65 
7- 23X2-89 
7-83X3-13 
8-41 
8- 98 
9- 53 
10-08 
10-61 
X3-36 
X3-59 
X3-81 
X4-03 
X4-24 
11-14 
11- 66 
12- 17 
12-67 
1317 
X4-45 
X4-66 
X4-87 
X5-07 
X5-27 
Value of P. 
364-5000 lbs. 
3'2544cwts. 
Depth. BreaJth. 
1- 57 X -63 
2- 63 XI -05 
3- 57X1-43 
4- 43 X 1-77 
5- 24X2-09 
6-00X2-40 
6- 74X2-70 
7- 45X2-98 
8- 14X3-26 
8-81 X3-52 
9-46 X3-78 
10-10X4-04 
10- 72X4-29 
11- 34X4-53 
11-94X4-78 
12- 53 X5-01 
13- 11X5-25 
13- 69X5-47 
14- 25X5-70 
14-81 X5-92 
Value of P. 
500-0O0O lbs. 
4-4642cwts. 
Depth. Breadth. 
1- 74 X -70 
2- 93 XM7 
3- 97 X 1-59 
4- 92X1-97 
5- 82 X2-33 
6- 67 X2-67 
7- 49 X3-00 
8- 28X3-31 
9- 04 X3-62 
9-79X3-91 
10- 51 X4-20 
11- 22 X4-49 
11- 91 X4-77 
12- 60X5-04 
13- 26 X5-31 
13- 92X5-57 
14- 57X5-83 
15- 21 X6-08 
15- 84X6-33 
16- 46X6-58 
Value of P. 
665-5000 lbs. 
5 9419cwts. 
Depth. Breadth. 
1-91 X -77 
3- 22X1-29 
4- 36 X 1-75 
5- 41 X2-17 
6- 40X2-56 
7- 34X2-94 
8- 24 X3-30 
9- 11 X3-64 
9-95X3-98 
10-76X4-31 
11- 56X4-62 
12- 34 X4-94 
13- 11X5-24 
13- 85X5-54 
14- 59 X5-84 
15- 31 X6-13 
16- 03X6-41 
16-73X6-69 
Multipliers to give the 
breaking weight 
of every Scautling in the 
table. 
In the direc. 
lion of the 
depth. 
3- 777 
4- 492 
4- 971 
5- 342 
5-648 
5- 912 
6- 144 
6-353 
6-543 
6-717 
6- 879 
7- 030 
7-173 
7-307 
7-434 
7-555 
7-670 
7-780 
7-886 
7-988 
lu the direc- 
tion of the 
breadth. 
9-444 
11- 230 
12- 429 
13- 355 
14- 122 
14- 780 
15- 361 
15- 882 
16- 357 
16-794 
17-199 
17-577 
17- 932 
18- 267 
18-585 
18- 888 
19- 176 
19-452 
19-717 
19-971 
Value of I 
D I 
Deflections in the middle for each foot in length. 
of an inch. 
Value of 
P 
10240-00 lbs. 
91-42cwts. 
of an inch.l^ of an inch. j^VofanindTl Examples. 
16402-50 lbs. 
146-45cwts. 
25000-00 lbs. 
223-21 cwts. 
36602-50 lbs. 
326-80cwts. 
\ Pressure uniform. 
Wueof 
p 
6400-00 lbs. 
57-I4cwts. 
10251-56 lbs. 
91-53ewts. 
15625-00 lbs. 
139-50cwts. 
22876 56 lbs. 
204-25cwts. 
Pressure in the 
middle. 
VI. 
VII. 
VIII. 
IX. 
'■ Example.— Ilei Pine 5 feet long, 4-66 in. by 1-86 in., with 5 x 256 = 1280 lbs. pres- 
sure in the direction of the depth, and with '16 x 1280 = 204-8 lbs. pressure in the direction 
)f the breadth, deflects each way -J^ of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 5 feet long, 4-66 in. by 
36 in., is 5 x 256 x 5-648 = 7229-44 lbs.; and in the direction of the breadth, the breaking 
veight is 5 X 256 x -16 x 14-122 = 2892-18 lbs.; the pressure being uniform in both cases. 
To find the Scantlings of other kinds of timber to have the same deflection or strength 
as Red Pine, also for the use of the expression -L, see Note, page 97. 
