100 
THIRD SERIES — TABLES OF SCANTLINGS 
TABLE I. Continued. 
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 tahle, Q=-16 P; P = pressure upou each foot in length ; | Breadth __ .^q 
The deflections each way of the timber are equal J DePTH 
Ijength 
in feet, 
clear 
bearing. 
Value of P. 
864-0000 lbs. 
7-7142 cwts. 
Value of P. 
1098-5000 lbs. 
9-8080cwts. 
Value of p. 
1372-0000 lbs. 
12-2500cwts. 
Value of P. 
1687 5000 IDs 
15-0669cwts. 
Value of P. 
■iWxO UUOU IDS. 
18-2857cwts. 
Depth. Breadth. 
Depth. Breadth 
Depth. Breadth.' 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
*5 
2- 09 X -84 
3- 51 XI -40 
4- 76X1-90 
5- 91 X2-36 
6- 98X2-79 
2- 26 X -90 
3- 80X1-52 
5- 16 X2-06 
6- 40X2-56 
7- 56X3-03 
2-44 X -97 
4- 10X1-64 
5- 55 X2-22 
6- 89X2-76 
8-15X3-26 
2-61 X 1-04 
4-39X1-76 
0 yo X2 00 
7- 38X2-95 
8- 73X3-49 
2-78X1-11 
4-68X1-87 
7-88X3-15 
9-31 X3-72 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
8-01 X3-20 
8- 99 X3-59 
9- 93X3-97 
10- 85X4-34 
11- 74X4-70 
12- 61 X5-05 
13 46X5-39 
14- 30X5-72 
15- 11 X6-05 
15-92X6-37 
8- 67X3-47 
9- 74X3-89 
10- 76X4-30 
11- 76X4-70 
12- 72X5-09 
9-34X3-74 
10- 48X4-19 
11- 59X4-64 
12- 66X5-06 
13- 70X5-48 
10- 01 X4-00 
11- 23X4-49 
12- 42X4-97 
13- 56X5-43 
14- 68X5-87 
10- 67X4-27 
11- 98X4-79 
13- 24X5-30 
14- 47X5-79 
15- 66X6-26 
13- 66X5-47 
14- 59X5 83 
15- 49 X6-20 
16- 37X6-55 
14- 72X5-89 
15- 71 X6-28 
16- 68X6-67 
15- 77X6-31 
16- 83X6-73 
16-82X6-73 
Deflections in the middle for each foot in length. 
Valneof 
D 
.5% of an inch. 
-g-^of aninch. 
y^of an inch. 
^'^ of an inch. 
-j^igofaninch. 
Valueof 
P 
"d" 
51840-00 lbs. 
462-85 cwts. 
71402-50 lbs. 
637-52 cwts. 
96040 00 lbs. 
857-50 cwts. 
126562 50 lbs. 
11 3002 cwts. 
163840 00 lbs. 
1462-85 owts. 
Value „r 
P °' 
~d" 
32400 00 lbs. 
289-28 cwts. 
44626-56 lbs. 
398-45 cwts. 
60025-00 lbs. 
535-93 cwts. 
79101-56 lbs. 
706-26 cwts. 
102400 00 lbs. 
914-28 cwts. 
X. 
XI. 
XII. 
XIII. 
XIV. 
* Example l.-Red Piue 5 feet long, 6-98 in. by 2-79 in., with 5 x 864 = 4320 lbs. 
pressure in the direction of the depth, and with -16 x4320 = 691-2 lbs. pressure m the 
direction of the breadth, deflects each way ^ of an inch ; the pressures being uniforai 
throughout the length. 
Example 2.-Red Pine 5 feet long, 6-98 iu. by 2-79 in., with | x 4320 = 2700 lbs. pressure 
in the direction of the depth, and with | x 691-2 = 432 lbs. pressure in the direction of the 
breadth, deflects each way of au inch ; the pressures in each case being in the middle. 
iVoie.— Uniform pressures, or fths of the same acting in the middle, the deflections are- 
the same in both cases ; as in the above examples. 
