106 
THIRD SERIES — TABLES OF SCANTLINGS 
TABLE III. 
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;"! Breadth 
The deflections each way of the timber are equal JDepth 
Length 
in feet, 
clear 
bearing. 
Value of P. 
1-0000 lbs. 
•0089 cwts. 
Value of P. 
1 6-0000 lbs. 
-1428 cwts. 
Value of P. 
39-0625 lbs. 
•3487 cwts. 
Value of P. 
81-0000 lbs. 
•7232 cwts. 
Value of P. 
150-0625 lbs. 
1-3398 cwts. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
5 
] 
-31 X -19 
•53 X -32 
-72 X -43 
•89 X -53 
•05 X '63 
-63 X -38 
1-06X -63 
1-43 X -86 
1- 78 X] -07 
2- 10X1-26 
-79 X -47 
1-32 X -79 
1- 79X1-08 
2- 22X1-33 
2-63X1-58 
•94 X ^57 
1- 59 X -95 
2- 15X1-29 
2- 67X1-60 
3- 15X1-89 
1-10 X -66 
1- 85 X M 1 
2- 51 X 1-51 
3- 11 X 1-87 
3-68 X 2-21 
6 
*7 
8 
9 
10 
1-21 X -72 
1-35X -81 
1-50X -90 
1-63 X -98 
1-77 X 1-06 
2-41X1-45 
2-71 X 1-62 
2- 99X1-80 
3- 27 X 1-96 
3-54X2-12 
3-01X1-81 
3-38X2-03 
3- 74X2-24 
4- 09X2-45 
4-42X2-65 
3- 62X2-17 
4- 06X2-44 
4- 49 X 2^69 
4^90X2^94 
5- 31X3-18 
4-22 X 2-53 
4- 74 X 2-84 
5- 24 X 3-14 
5- 72 X 3-43 
6- 19 X 3-71 
7- 10 X 4-26 
7-54 X 4-52 
7- 97 X 4-78 
8- 39 X 5 03 
11 
12 
13 
14 
15 
1- 90XM4 
203X1-22 
2- 15X1-29 
2-28X1-37 
2-40X1-44 
3- 80X2-80 
4- 06X2-43 
4-31X2-58 
4-55X2-73 
4-79X2-88 
4- 75X2-85 
5- 07X3-04 
5-38X3-23 
5-69X3-41 
5-99X3-60 
5- 70X3^42 
6- 08X3-65 
6-46X3-88 
6-83X4^10 
7^19X4-31 
16 
17 
18 
19 
20 
2-52X1-51 
2-63X1-58 
2-75X1-65 
2-86X1-72 
2-97X1-78 
5-03X3-02 
5^27 X3- 16 
5-50X3-30 
5-72X3-43 
5-95X3-57 
6-29X3-77 
6-58X3^95 
6-87X4-12 
7^16X4^29 
7.44X4^46 
7-55X4-53 
7- 90X4-74 
8- 24X4-95 
8-59X5-15 
8-92X5-35 
8- 81 X 5-28 
9- 22 X 5^53 
9^62 X 5-77 
10-02 X 6 01 
10-41 X 6-25 
Deflections in the middle for each foot in length. 
Value of 
D. 
^of an inch. 
^of an inch. 
-Jjj^of an inch. 
.^'^of an inch. 
4^ of an inch. 
Value of 
P 
~D 
40-00 lbs. 
•35 cwts. 
640 00 lbs. 
5-71 cwts. 
1562-50 lbs. 
13-94 cwts. 
3240 00 lbs. 
28 92 cwts. 
6002-50 lbs. 
53 59 cwts. 
Value of 
P 
"dT 
25-00 lbs. 
•22 cwts. 
400-00 lbs. 
3-57 cwts. 
976^56 lbs. 
8-71 cwts. 
202500 lbs. 
18-08 cwts. 
375 1-56 lbs. 
33-49 cwts. 
Factors 
to give 
the 
breaking 
weight. 
Column I. 
Factor 4. 
II. 
Factor 2. 
III. 
Factor 1-6. 
IV. 
Factor ^. 
V. 
Factor 
* Example.— Red Pine 7 feet long, 3-38 in. by 2-03 in., with 7 x 39-0625 = 273^4 lbs. 
pressure in the direction of the depth, and with '36 x 273"4 = 98'4 lbs. pressure in the direc- 
tion of the breadth, deflects each way -T^. of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 7 feet long, 3-38 in. by 
2-03 in., is 7 >< 39-0625 x 6-8 x 1-6 = 2975 lbs. ; and in the direction of the breadth, the 
breaking weight is 7 x 39-0625 x -36 x 11-333 x 1-6 = 1785 lbs.; the pressure being uniform 
in both cases ; or one half of those weights, if the pressures act in the middle. 
