114 
THIRD SERIES — TABLES OF SCANTLINGS 
TABLE V. 
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, = "75 P; *P = pressure upon each foot in length; IB REACT H 
The deflections each way of the timber are equal j Depth 
Length 
in feet, 
clear 
bearing. 
Value of P. 
1-0000 lbs. 
•0089 cwts. 
Value of p. 
16-0000 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 
•29 X -25 
•48 X ^42 
•65 X ^57 
•81 X ^70 
•96 X ^83 
•57 X -50 
•97 X -84 
1-31X113 
1-62 X 1-41 
1-92 X 1-66 
-72 X -62 
1-21X1-04 
1- 64X1-42 
2- 03X1-76 
2-40X2-08 
•86 X -75 
145X1-25 
1- 96X1-70 
2- 43 X2^ 11 
2^88X2-49 
1-00 X -87 
1- 69 X 1-46 
2- 29 X 1-98 
2- 84 X 2-46 
3- 36 X 2-91 
6 
7 
8 
*9 
10 
MOX ^95 
1^23 X 1^07 
1-36XM8 
1^49 XI ^29 
rei Xl-40 
2^20 X 1^91 
2-47X2-14 
2^73 X 2^36 
2^98X2^58 
3^23X2-79 
2- 75X2-38 
3- 09 X 2^67 
3-41X2-96 
3- 73 X323 
4- 03 X 3-49 
3-30X2^86 
3- 70 X321 
4^09X3^55 
4- 47X3-87 
4-84X4-19 
3- 85 X 3-33 
4- 32 X 3-74 
4- 78 X 4-14 
5- 22 X 4-52 
5-65 X 4-89 
11 
12 
13 
14 
15 
1^73 Xr50 
1- 85 Xr60 
r96xr70 
2- 08 X 1-80 
2^19 Xr89 
3-47 X3 00 
3-70X3-20 
3- 93X3-40 
4^15X3-60 
4- 37X3-79 
4-33 X3-75 
4^63X4^01 
4- 91X4-25 
5- 19X4-50 
5-47X4-74 
5-20X4-50 
5- 55 X 4-81 
5^89X5^10 
6- 23 X5-40 
6^56X5-68 
6-07 X 5-25 
6-48 X 5-61 
6- 88 X 5-95 
7- 27 X 6-29 
7-65 X 6^63 
j6 
17 
18 
19 
20 
2-30 Xr99 
2^40 X 2-08 
2^51X2^17 
2^61 X2-26 
2-71 X2-35 
4-59X3-98 
4- 80X4-16 
5- 01X4-34 
5-22X4^52 
5-43X4-70 
5- 74X4-97 
6- 01X5-20 
6-27X5-43 
6-53 X5-65 
6-78X5-88 
6^89X5-96 
7-21X6-24 
7-52 X 6^51 
7^83 X 6^78 
8^14 X 7-05 
8-03 X 6-96 
8^4 1 X 7-28 
8- 78 X 7-60 
9- 14 X 7-91 
9-50 X 8-23 
Deflections in the middle for each foot in length. 
Value of 
D. 
4^of an inch. 
^Vof an inch. 
^of an inch. 
^of an inch. 
4^ of an inch. 
Value of 
P 
40 00 lbs. 
•35 cwts. 
64000 lbs. 
571 cwts. 
1562-60 lbs. 
13-94 cwts. 
3240-00 lbs. 
28-92 cwts. 
6002^50 lbs. 
53-59 cwts. 
Value of 
P 
"d" 
25-00 lbs. 
•22 cwts. 
400-00 lbs. 
3-57 cwts. 
976-56 lbs. 
8-71 cwts. 
2025-00 lbs. 
18-08 cwts. 
3751-56 lbs. 
33-49 cwts. 
Factors 
to give 
the 
breaking 
weight. 
Column I. 
Factor 4. 
II. 
Factor 2. 
III. 
Factor 1-6. 
IV. 
Factor f. 
V. 
Factor -f . 
♦ Example.— B,ei Pine 9 feet long, 5-22 in. by 4-52 in., with 9 x 150-0625 = 1350-56 lbs. 
pressure in the direction of the depth, and with -75 x 1350-56 = 1012-92 lbs. pressure in the 
direction of the breadth, deflects each way ^ of an inch. 
The breaking weight, in the direction of the depth, of Ked Pine 9 feet long, 5-22 in. by 
4-52 in., is 9x 150 0625 x 7-936 = 10718 lbs.; and in the direction of the breadth, the 
breaking weight is 9 x '75 x 150 0625 x 9-164 = 9282 lbs. ; the pressure being uniform i« 
both cases ; or one half of those weights, jf the pressures act in the middle. 
