98 
THIRD SERIES 
; — TABLES OF SCANTLINGS 
TABLE I. 
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. 
lu this table, Q,="16 P; P = pressure upon each foot in length;) B READ TH 
The deflections each way of the timber are equal ) 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 
•35 X -14 
•59 X -23 
•79 X ^32 
•98 X -39 
M6X ^47 
•70 X -28 
M7X -47 
1-59 X -63 
1- 97 X -79 
2- 33 X -93 
•87 X -35 
r46X ^59 
1^98 X -79 
2-46 X -98 
2-91 XM6 
1^04 X -42 
1- 76 X -70 
2- 38 X -95 
2- 95X1-18 
3- 49 X 1-40 
1- 22 X -49 
2^05 X -82 
2- 78X1-11 
3- 45 X 1-38 
4- 07 X 1-63 
6 
7 
8 
9 
10 
1-33 X ^53 
1-60 X -60 
1^66X -66 
1-81 X ^72 
1-96 X -78 
2^67 X 1-07 
3-00X1-20 
3-31 X 1-32 
3-62X1-45 
3-91 X 1-57 
3-34X1-33 
3- 74X1-50 
4- 14X1-66 
4-52X1-81 
4-89 X 1-96 
4-00 X 1-60 
4-49X1-80 
4- 97X1-99 
5- 43X2-17 
5-87 X2-35 
4- 67X1-87 
5- 24X2-10 
5- 79X2-32 
6- 33X2 53 
6-85 X 2-74 
11 
12 
13 
14 
15 
2-lOX -84 
2-24 X -90 
2^38 X ^95 
2-52 X 1^01 
2-65 XI •oe 
4-20X1^68 
4-49X1-80 
4- 77X1-91 
5- 04X2-02 
5-31X2-12 
5-26X2-10 
5-61 X2-24 
5- 96X2-38 
6- 30X2-52 
6-63X2-65 
6-31 X2-62 
6- 73X2-69 
7- 15X2-86 
7-56X302 
7^96X3-18 
7-36X2-94 
7- 85X3-14 
8- 34X3-34 
8- 82 X3-53 
9- 28X3-71 
16 
17 
18 
19 
20 
2- 78 X Ml 
291 XM7 
3- 04 XI ^22 
3^17Xl-27 
3^29 XI -32 
5-57 X2-23 
5- 83X2-33 
6- 08X2-43 
6-33X2-53 
6-58X2-63 
6- 96X2-78 
7- 28X2-91 
7-60X3-04 
7- 92X3-17 
8- 23X3-29 
8^35 X3-34 
8- 74 X3-50 
9- 12X3-65 
9-50X3-80 
9-87X3-95 
9-75X3-90 
10-20X4-08 
10- 65X4-26 
11- 09X4-43 
11-52X4-61 
Deflections in the middle for each foot in length. 
Value of 
D 
of an inch. 
of an inch. 
of aninch. 
of an inch. 
^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 ol 
P 
IT 
25-00 lbs. 
•22 cvvts. 
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^ive 
breaking 
weight. 
Column I. 
Factor 4, 
II. 1 
Factor 2. 
III. 
Factor IS. 
IV. 
Factor |. 
V. 
Factor f.f 
* Example. — Red Pine 5 feet long, 1-16 in. by -47 in., with 5x1 = 5 lbs. pressure in tlie 
direction of the depth, and with -16 x 5 = -8 lbs. pressure in the direction of the breadth, de- 
flects each way -J^ of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 5 feet long, 1-16 in. by -47 
ill., is 5 X 1 X 5-648 x 4 = 112-96 lbs. ; and in the direction of the breadth, the breaking 
weight is 5 X 1 X -16 X 14-123 x 4 = 45-19 lbs. ; the pressure being uniform in both cases. 
+ Throughout these tables, in each of the columns VI. to XVIII, (both inclusive) the Factor to give, 
the breaking weight is ] . 
