108 
THIRD SERIES — TABLES OF SCANTLINGS 
TABLE III. 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, = -36P; P = pressure upon each foot in length ;jBRE A DTK 
The deflections each way of the timber are equal 1 Depth 
Length 
in feet, 
clear 
bearing. 
Value of P. 
864-0000 lbs. 
7-7142 cwts. 
Value of p. 
1098-5000 lbs. 
9-8080cwts 
Value of p. 
1372- 0000 lbs. 
12-2500 cwts. 
Value of P. 
1687-5000 lbs. 
15-0669cwts 
Value of P. 
2048-0000 lbs. 
18-2857cwts. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadih. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
5 
1-89X1-13 
3- 17X1-90 
4- 30X2-58 
5- 34X3-20 
6- 31X3-79 
204X1-23 
3- 44X206 
4- 66X2-80 
5- 78X3-47 
6- 84X4-10 
2- 20 X 1-32 
3- 70 X 2-22 
5- 02 X 3 01 
6- 23 X 3-74 
7- 36 X 4-42 
2- 36X1-42 
3- 97X2-38 
5- 38X3-23 
6- 67X4-00 
7- 89X4-73 
2-52X1-51 
4- 23X2-54 
5- 74X3-44 
7- 12X4-27 
8- 41 X5-05 
6 
*7 
8 
9 
10 
7- 23X4-34 
812X4-87 
8- 98X5-39 
9- 80X5-88 
10-61X6-37 
7- 84X4-70 
8- 80X5-28 
9- 72X5-83 
10- 62X6-37 
11- 50X6-90 
8- 44 X 5-06 
9- 47 X 5-68 
10-47 X 6-28 
11'44X 6-86 
12-38X 7-43 
9-04X5-43 
10- 15X6-09 
11- 22X6-73 
12- 26X7-35 
13- 26X7-96 
9-65X6-79 
10- 83X6-50 
11- 97X7-18 
13- 07X7-84 
14- 15X8-49 
11 
12 
13 
14 
15 
11- 40X6-84 
12- 17X7-30 
12- 92X7-75 
13- 66X8-19 
14- 38X8-63 
12- 35X7-41 
13- 18X7-91 
14- 00X8-40 
14- 80X8-88 
15- 58X9-35 
13- 30 X 7-98 
14- 19 X 8-52 
15- 07 X 9-04 
15- 93 X 9-56 
16- 78X10-07 
14- 25X8-55 
15- 21X9-12 
16- 15X9-69 
15- 20X9-12 
16- 22X9-73 
16 
17 
18 
15-10X9-06 
15- 80X9-48 
16- 49X9-89 
16-35X9-81 
Deflections in the middle for each foot in length. 
Value of 
D. 
.^of an inch . 1 -^of an inch. 
of an inch. 
y\of an inch. 
T5%of aninch. 
Value of 
P 
~d" 
51840-00 lbs. 
462-85 cwts. 
7 1402-50 lbs. 
637-52 cwts. 
96040-00 lbs. 
857-50cwts. 
126562-50 lbs. 
1130-02cwts. 
163840-00 lbs. 
1462-85cwts. 
Value of 
P 
32400-00 lbs. 
289-28 cwts. 
44626-56 lbs. 
398-45 cwts. 
60025-00 lbs. 
535-93 cwts. 
79101-56 lbs. 
706-26cwts 
102400-00 lbs. 
914-28 cwts. 
X. 
XI. 
XII. 
XIII. 
XIV. 
* Example.— ReA Pine 7 feet long, 9-47 in. by 5-68 in., with 7 x 12-25 = 85-75 cwts. 
pressure in the direction of the depth, and with -36 x 85-75 = 30-87 cwts. pressure in the 
direction of the breadth, deflects each way or of an inch. 
The breaking weight, in the direction of the depth, of Red Pine, 7 feet long, 9-47 in. by 
5-68 in. is 7 X 12-25 x 6-8 = 583-1 cwts. ; an'd in the direction of the breadth, the breaking 
weight is 7 x 12-25 x -36 x 11-333 = 349-8 cwts. ; the pressure being uniform in both cases; 
or one half of those weights, if the pressures act in the middle. 
