102 THIRD SERIES — TABLES OF SCANTLINGS 
TABLE II. 
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. 
Ill this fable, Q,= -25 P; P = pressure upon each foot in length;] Bread TH 
The deflections each way of the timber are equal IDkpTH 
Length 
ill feet, 
clear 
beariog. 
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 
•33 X •le 
•55 X -28 
•75 X ^38 
•93 X ^47 
1 lU X 00 
•66 X ^33 
MIX ^55 
r50X ^75 
1-86 X ^93 
•82 X -41 
r38X -69 
1- 88X -94 
2- 33 XM6 
O-T^ V 1 •'i>i 
i£ i O I oO 
•99 X -49 
1- 66 X ^83 
2- 25XM3 
2-79X1-40 
o OU 1 DO 
1-15 X -58 
1- 94 X -97 
2- 63 X 1-31 
3- 26 X 1-63 
o OO A I yo 
*6 
7 
8 
9 
10 
1-26 X -63 
1-42 X -71 
1-57 X -78 
1-71 X -86 
1 80 X •yo 
2-52 Xr26 
2- 83X1-42 
3- 13X1-57 
3-42X1-71 
o /U X 1 00 
3-15Xr58 
3-54 Xr77 
3- 91 X 1-96 
4- 28X2-14 
4. (to V O-'i 1 
4 DO /<Z O i 
3- 79X1-89 
4- 25X2-12 
4- 70X2-35 
5- 13 X 2^57 
0 OO >. 2 / o 
4- 42 X 2^21 
4^96 X 2^48 
5^48 X 2^74 
5- 99 X 2-99 
D hO /n O /i'iL 
11 
12 
13 
14 
15 
1- 99X ^99 
2- 12 X roe 
2-25 X113 
2-38 XM9 
2-51 X125 
3- 98X1-99 
4- 24X212 
4-51X2-25 
4- 76X2-38 
5- 02X2-51 
4-97X2-49 
5^31 X 2-65 
5^63X2-82 
5^96X2-98 
6-27X3-14 
5- 96X2-98 
6- 37X3-18 
6-76X3^38 
7^15X3-57 
7^53X3-76 
6- 96 X 3-48 
7- 43 X 3-71 
7- 89 X 3-94 
8- 34 X 4-17 
8-78 X 4-39 
16 
17 
18 
19 
20 
2-63 X 1-32 
2^76 Xr38 
2- 88 X 1-44 
3- 00 X 1-50 
311 X156 
5-27X2-63 
5-51X2-76 
5-75X2-88 
5- 99X3-00 
6- 23 X3^ 11 
6-58X3-29 
6- 89X3-44 
7- 20X3-60 
7-49X3-74 
7-78X3-89 
7^90X3-95 
8-27X4-13 
8-63X4-31 
8- 99X4-49 
9- 34X4-67 
9-22 X 4-61 
9-65 X 4-82 
10-07 X 5-03 
10-48 X 5-24 
10-90 X 5-45 
Deflections in the middle for each foot in length. 
vai^eofj_i^ofan inch. 
^^^of an inch. 
^of an inch. 
^of an inch. 
^ of an inch. 
Value ol 
P 
'd' 
40 00 lbs. 
•35 cwts. 
64000 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 
Id" 
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 ^. 
V. 
Factor ^. 
♦ Example. — Red Pine 6 feet long, 2^52 in. by 1-26 in., with 6 x 16 = 96 lbs. pressure in 
the direction of the depth, and with -25 x 96 = 24 lbs. 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, 2-52 in. by 
1-26 in., is 6 X 16 X 6-251 x 2 = 1200 lbs. ; and in the direction of the breadth, the breaking 
weight is 6 x 16 X -25 x 12-503 x 2 = 600 lbs. ; the pressure being uniform iu both cases ; or 
one half of those weights, if the pressures act in the middle. 
