PRESSED BY TWO FORCES P AND Q. 
Ill 
TABLE IV. 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 = -50 P; P = pressure upon each foot in length;) BreadtH 
The deflections each way of the timber are equal j Depth 
= •707. 
Length 
in feet, 
clea 
bearing. 
6 
7 
*8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
20 
Value of P. 
256-0000 lbs. 
2'2857cwts 
Depth. Breadth. 
21 X -85 
03 X 1-44 
75X1-95 
41 X2'41 
04X2-85 
63 X3-27 
20X3-67 
74X4-06 
27X4-44 
79 X4-80 
29X5-16 
78 X5-50 
27X5-84 
74X6-18 
Value of P. 
364-5000 lbs. 
3-2544cwts 
Depth. Breadth 
1- 36 X -96 
2- 28X1-62 
3- 10X2-19 
3- 84X2-72 
4- 54X3-21 
5-21 X3-68 
5- 85X4-13 
6- 46X4-57 
7- 06 X4-99 
7-64X5-40 
8-20X5-80 
8- 76X6-19 
9- 30X6-58 
9-83 X6-95 
9-20X6-51 10-35X7-32 
9-66X6-83 10-87X7-68 
10-11 X7-15 11-37X8-04 
10-55X7-46 11-87X8-39 
10- 99X7-77 12-36X8-74 
11- 42X8-07 12-85X9-08 
Value of P. 
500-0000 lbs. 
4-4642 cwts. 
Depth. 
Breadth 
1- 51 
2- 54 
3- 44 
4- 27 
5- 05 
X 1-07 
X 1-79 
X 2-43 
X 3-02 
X 3-57 
579 
6- 49 
7- 18 
7- 84 
8- 49 
4-09 
4- 59 
5- 08 
5- 55 
6- 00 
9-12 
9-73 
10-33 
10- 92 
11- 50 
X 6-45 
X 6-88 
X 7-31 
X 7-72 
X 8-13 
12-07 
12- 64 
13- 19 
13- 73 
14- 27 
X 8-54 
X 8-93 
X 9-33 
X 9-71 
X 10-09 
Value of P. 
665-5000 lbs. 
. 5-9419 cwts. 
Depth. Breadth. 
1- 66 X 
2- 79 X 
3- 78 X 
4- 70 X 
5- 55 X 
1-17 
1- 97 
2- 68 
3- 32 
3-93 
6- 36 X 
7- 14 X 
7- 90 X 
8- 63 X 
9- 34 X 
4- 50 
5- 05 
5- 58 
6- 10 
6-60 
10-03 X 
10- 70 X 
11- 37 X 
12- 02 X 
12-65 X 
7-09 
7- 57 
8- 04 
8-50 
8-95 
13-28 X 9-39 
13- 90 X 9-83 
14- 51 X 10-26 
15- 11 X 10-68 
15-70X11-10 
Multipliers to give the 
breaking weight 
of every Scautliug in the 
table. 
In thedirec. 
tion of the 
depth. 
4- 355 
5- 180 
5- 732 
6- 160 
6-513 
6- 817 
7- 085 
7-325 
'4-544 
7-746 
7- 932 
8- 107 
8-271 
8-425 
8-572 
8-711 
8-844 
8- 972 
9- 094 
9-211 
lu the direc- 
tion of the 
breadth. 
6- 160 
7- 325 
8- 107 
8- 711 
9- 211 
9-641 
10-019 
10-360 
10-669 
10-954 
11-218 
11-465 
11-697 
11-915 
12123 
12-320 
12-508 
12-688 
12- 861 
13- 027 
Deflections in the middle for each foot in length. 
Value of 
D 
:^of an inch. 
:^of aninch. 
"5% of an inch. 
j -5^5- of an inch.- 
See Examples. 
Value of 
P 
"d" 
10240-00 lbs. 
9l-42cwts. 
16402-50 lbs. 
146-45cwts. 
25000-00 lbs. 
223-21 cwts. 
36602-50 lbs. 
326-80cwts. 
Pressure uniform. 
Value of 
P 
"d" 
6400-00 lbs. 
57-14cwts. 
10251-56 lbs. 
9r53cwts. 
15625-00 lbs. 
139-50cwts. 
22876-56 lbs. 
204-25cwts. 
1 
, Pressure in the 
middle. 
VI. 
VII. 
VIII. 
IX. 
* Example.— R&i Pine 8 feet long, 7-90 iu. by 5-.58 in., with 8 x 665-5 = 5324 lbs. 
pressure in the direction of the depth, and with '5 x 5324 = 2662 lbs. pressure in the direction 
of the breadth, deflects each way -^-^ of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 8 feet long, 7-90 in. by 
5-58in., is 8 X 5-9419 x 7-325 = 348-16 cwts.; and in the direction of the breadth, the breaking 
weight is 8 X -5 X 5-9419 x 10-36 = 246-23 cwts.; the pressure being uniform in both cases ; 
or one half of those weights, if the pressures act in the middle. 
