104 
THIRD SERIES — TABLES OF SCANTLINGS 
TABLE II. 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,= *25 P; P = pressure upon each foot in length ; IBreaDTH 
The deflections each way of the timber are equal ] Depth 
1 
Length 
ill feet, 
clear 
bearing. 
Value of P. 
864'0000 lbs. 
7-7142 cwts. 
Value of P. 
1098"5000lbs. 
9-8080cwts. 
Value of P. 
1372-OOOOlbs. 
12-2500cwts. 
Value of P. 
l687-50001bs. 
15-0669cwts. 
Value of P. 
2048-OOOOlbs. 
18-2857cwts. 
Depth. JJreadth. 
Depth. Breadth 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
5 
1-97 X -99 
3- 32X1-66 
4- 50 XQ-25 
5- 59X2-79 
6- 60X3-30 
2- 14X1-07 
3- 60X1-80 
4- 88 X2-44 
6- 05 X3-03 
7- 15X3-58 
2- 30X1-15 
3- 87X1-94 
5- 25 X2-63 
6- 52X3-26 
7- 70X3-85 
2-47X1-23 
4- 15X2-08 
5- 63 X2-81 
6- 98X3-49 
8-25X4-13 
2-63 X 1-32 
4-43 X 2-21 
6- 00 X 3-00 
7- 45 X 3-72 
8- 80 X 4-40 
*6 
7 
8 
9 
10 
7- 57 X3-79 
8- 50X4-25 
9- 39X4-70 
10- 26X5-13 
11- 11 X5-55 
8- 20X4-10 
9- 21 X4-60 
10- 18X5-09 
11- 12X5-56 
12- 03X6-02 
8- 83X4-42 
9- 92X4-96 
10- 96X5-48 
11- 97X5-99 
12- 96X6-48 
9-46X4-73 
10- 62X5-31 
11- 74X5-87 
12- 83X6-41 
13- 88X6-94 
10- 10 X 5-05 
11- 33 X 5-67 
12- 53 X 6-26 
13- 68 X 6-84 
14- 81 X 7-40 
11 
12 
13 
14 
15 
11- 93X5-96 
12- 73 X6-37 
13- 52X6-76 
14- 29X7-15 
15- 05X7-53 
12- 92X6-46 
13- 79X6-90 
14- 65X7-32 
15- 49X7-74 
16- 31 X8-15 
13- 92X6-96 
14- 86X7-43 
15- 78X7-89 
14- 91 X7-46 
15- 92X7-96 
15-91 X 7-95 
16 
15-80X7-90 
Deflections in the middle for each foot in length. 
Value ol 
D 
-gVofaninch.l^'-^of an inch. 
-^■^ of an inch. | y\- of an inch. 
-g% of an inch. 
Valueof 
P 
"d" 
51840 00 lbs. 
462-85 cwts 
71402-50 lbs. 
637-52 cwts. 
96040-00 lbs. 
857-50 cwts 
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. 
9]4-28cwts. 
X. 
XI. 
xir. 
XIII. 
XIV. 
* Example.— nei Pine 6 feet long, 8-20 in. by 4-10 in., with 6 x 9-808 = 58-848 cwts. 
pressure in the direction of the depth, and with -25 x 58-848 = 14-712 cwts. 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 6 feet long, 8-20 in. by 
4-10 in., is 6 x 9-808 x 6-251 = 367-85 cwts.; and in the direction of the breadth, the 
breaking weight is 6 x 9-808 x -25 x 12-503 = 122-62 cwts. ; the pressui-e being uniform in 
both cases ; or one half of those weights, if the pressures act in the middle. 
