110 THIRD SERIES — TABLES OF SCANTLINGS 
TABLE IV. 
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. 
la this table, Q="50 P; P = pressure upon each foot in length ; IBreadTH 
The deflections each way of the timber are equal ] DepTH 
Length 
in feet, 
clear 
beariug. 
Value of P. 
1-0000 lbs. 
-0089 cwts. 
Value of P. 
16-0000 lbs. 
•1428 cwts. 
Value of P. 
390625 lbs. 
•3487cwts. 
Value of P. 
81-0000 lbs. 
-7232 cwts. 
Value of P. 
150-0625 lbs. 
1-3398 cwts. 
Depth. Jlreadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
O 
•30 X -21 
•51 X -36 
•69 X -49 
•85 X -60 
•60 X -43 
1-02 X ^72 
1-38X -97 
1-71X1-21 
-75 X -53 
1-27 X -90 
1- 72X1-22 
2- 13X1^51 
<£ OZ ?>> I to 
•91 X -64 
1^52 X 1^08 
2-06 X 1-46 
2-56 Xr81 
1-06 X -75 
1- 78 X 1-26 
2- 41 X 1-70 
2-99 X 2^11 
'^•^'^ X 2-50 
6 
7 
*8 
9 
10 
M6X -82 
1-30X ^92 
1^44 XI 02 
1-57X1-11 
i /UX 1-20 
2-31X1-64 
2-60X1-84 
2- 87X2-03 
3- 14X2-22 
2^89X2-05 
3-25X2-30 
3-59X2-54 
3-92X2-77 
A ,Ci A W O.AA 
4 24 Xo OU 
3-47X2-45 
3- 90X2-76 
4- 31 X3-05 
4-71 X3-33 
0 09 Xo DU 
4-05 X 2-86 
4- 55 X 3-21 
5- 03 X 3-55 
5-49 X 3-88 
11 
12 
13 
14 
15 
1-82X1-29 
1- 95X1-38 
2- 07X1-46 
2-18X1-54 
2-30 X 1-63 
3-65X2-58 
3- 89X2-75 
4- 13X2-92 
4-37X3-09 
4-60X3-25 
4- 56X3^22 
4^87X3^44 
5- 17X3-65 
5-46X3-86 
5-75X4-07 
5-47X3-87 
5- 84X4-13 
6- 20X4-38 
6-55X4-63 
6-90X4-88 
6- 38 X 4-51 
6^81 X 4-82 
7^23 X 5-11 
7- 65 X 5-41 
8^05 X 5-69 
16 
17 
18 
19 
20 
2-41X1-71 
2-53X1-79 
2-64 X 1^87 
2^75X1-94 
2-85X2-02 
4- 83X3^41 
5^05 X 3^57 
5- 28X3-73 
5-49X3-88 
5-71X4-04 
6-04X4-27 
6-32X4-47 
6-59X4-66 
6- 87X4-86 
7- 14X5-05 
7-24X5-12 
7-58X5-36 
7- 91 X5-60 
8- 24 X5-83 
8-56X6-06 
8^45 X 5-98 
8- 84 X 6-25 
9- 23 X 6-53 
9-61 X 6^80 
9^99 X 7^06 
Deflections in the middle for each foot in length. 
Value of 
D. 
^of an inch. 
4^of an inch. 
4?oOf an inch. 
of an inch. 
^of an inch. 
Value ol 
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 
"d" 
25-00 lbs. 
•22 cwts. 
400-00 lbs. 
3 57 cwts. 
976-56 lbs. 
8-71 cwts 
202500 lbs. 
18-08 cwts. 
3751-56 lbs. 
33-49 cwts. 
Factors 
to give 
the 
breakiii 
weight 
Column I, 
; Factor 4. 
II. 
Factor 2. 
III. 
Factor 1-6. 
IV. 
Factor -f . 
V. 
Factor |-. 
* Example. — Red Pine 8 feet long, 4-31 in. by 3-05 in., with 8 x 81 = 648 lbs. pressure 
in the direction of the depth, and with -5 x 648 = 324 lbs. pressure in the direction of the 
breadth, deflects each way -^^ or ^ of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 8 feet long, 4'31 in. by 
3-05 in., is 8 X 81 X 7-325 = 4746 lbs. ; and in the direction of the breadth, the breaking 
weight is8x-5x81x 10-36 = 3356 lbs. ; the pressure being uniform in both cases ; or one 
half of those weights, if the pressures act in the middle. 
