PRESSED BY TWO FORCES P AND Q. 
115 
TABLE V. 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. 
'n this table, Q, = '75 P; P = pressure upon each foot in length; ] BreadTH 
The deflections each way of the timber are equal JDepth 
■ = •866. 
Length 
'ii feet, 
clear 
) earing. 
6 
7 
8 
*9 
10 
11 
12 
13 
14 
15 
Tq 
17 
18 
19 
20 
Value of P. 
•256 0000 lbs. 
2-2857cwts. 
Depth. Breadth. 
M5X -99 
1- 93 X 1-67 
2- 62X2-27 
3- 25X2-81 
3-84X3-32 
4- 40X3-8I 
.4-94X4-28 
5- 46X4-73 
5- 96X5-16 
6- 45X5-59 
6- 93X6-00 
7- 40X6-41 
7- 86 X 6-80 
8- 31X7-19 
8-75 X 7-58 
9-18X7-95 
9-61X8-32 
10-03 X8-69 
10-44 X9-04 
10-85 X9-40 
Value of P. 
364-50001bs. 
3-2544 cwts. 
Depth. 
Breadth 
1- 29 X 
2- 17X 
2- 94 X 
3- 65 X 
4- 32 X 
1-12 
1- 88 
2- 55 
3- 16 
3-74 
4- 95 X 
5- 56 X 
6- 14 X 
6- 71 X 
7- 26 X 
4-29 
4- 81 
5- 32 
5- 81 
6- 29 
7- 80 X 
8- 33 X 
8- 84 X 
9- 34 X 
9-84 X 
6- 75 
7- 21 
7- 66 
8- 09 
8-52 
10-33 X 8-95 
10- 81 X 9-36 
11- 28X 9-77 
11- 75X10-18 
12- 21 X 10-58 
Value of P. 
500-OOOOlbs. 
4-4642cwts. 
Depth. 
Breadth. 
1- 43 X 
2- 41 X 
3- 27 X 
4- 06 X 
4-80 X 
1- 24 
2- 09 
2- 83 
3- 51 
4- 15 
5- 50 X 
6- 17X 
6- 82 X 
7- 46 X 
8- 07 X 
4- 76 
5- 35 
5- 91 
6- 46 
6-99 
8- 67 X 
9- 25 X 
9-82 X 
10-38 X 
10-94 X 
7- 50 
8- 01 
8-51 
8- 99 
9- 47 
11- 48X 9-94 
12- 01X10-40 
12- 54X10-86 
13- 06X11-31 
13-57X11-75 
665-5000 lbs. 
5-941 9cwts. 
Depth. 
Breadth 
1- 58X 
2- 65 X 
3- 60 X 
4- 46 X 
5- 28 X 
1- 37 
2- 30 
3- 12 
3- 87 
4- 57 
6-05 X 
6- 79 X 
7- 51 X 
8- 20 X 
8-87 X 
5-24 
5- 88 
6- 50 
7- 10 
7-69 
9-53 X 8-25 
10- 18X 8-81 
11- 80X 9-36 
11- 42X 9-89 
12- 03X10-42 
12- 62X10-93 
13- 21X11-44 
13- 79X11-94 
14- 36X12-44 
14-92X12-93 
'alue of 
Deflections in the middle for each foot in length. 
'alue of 
4%- of an inch. 
1024000 lbs. 
91-42cwt3. 
640000 lbs. 
57-14cwts, 
VI. 
-V of an inch. 
4 5 
16402-50 lbs. 
146-45cwts. 
10251-56 lbs. 
91-53cwts. 
VII. 
of an inch. 
25000-00 lbs. 
223-21 cwts. 
15625-00 lbs. 
139-50cwts. 
VIII. 
of an inch. 
36602-50 lbs. 
326-80cwts. 
22876-56 lbs. 
204-25cwts. 
IX. 
Multipliers to give the 
breaking weight 
of every Scantling in 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 
See Examples. 
I Pressure uniform. 
Pressure in the 
middle. 
Example. —RtA Pine 9 feet long, 5-96 in. by 516 in., with 9 x 256 = 2304 lbs. pressure 
the direction of the depth, and with -75 x 2304 = 1728 lbs. pressure in the direction of the 
ireadth, deflects each way ^ of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 9 feet long, 5*96 in. by 
-16 in., IS 9 X 256 x 7-936 = 18284 lbs.; and in the direction of the breadth, the breaking 
weight is 9 X -75 x 256 x 9-164 = 15835 lbs.; the pressure being uniform in both cases; or 
ne half of those weights, if the pressures act in the middle. 
