112 THIRD SERIES — TABLES OF SCANTLINGS 
TABLE IV. 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 table, Q,='50 P; P= pressure upou each, foot in length;) Breadth 
The deflections each way of the timber are equal J Depth 
Length 
in feet^ 
clear 
bearing. 
Value of p. 
864-0000 lbs. 
/ I ViZ CWIS. 
Value of P. 
1098-5000 lbs. 
y ououcwis. 
Value of P. 
1372-0000 lbs. 
Value of P. 
1687-5000 lbs. 
Value of P. 
2048-0000 lbs. 
1 8-2857 cwts. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
Depth. Breadth. 
1 
2 
3 
4 
5 
1-81 X 1-28 
3- 05 X 2-15 
4- 13 X 2-92 
5- 12 X 3-62 
6- 06 X 4-28 
1-96 X 1-39 
3- 30 X 2-33 
4- 47 X 3-16 
5- 55 X 3-92 
6- 56 X 4-64 
2- 11 X 1-49 
3- 55 X 2-51 
4- 82 X 3-41 
5- 98 X 4-23 
7-06 X 5-00 
2- 26 X 1-60 
3- 81 X 2-69 
5- 16 X 3-65 
6- 40 X 4-53 
7- 57 X 5-35 
2-41 X 1-71 
4- 06 X 2-87 
5- 50 X 3-89 
6- 83 X 4-83 
8-07 X 5-71 
6 
7 
9 
10 
6- 94 X 4-91 
7- 79 X 5-51 
0 Dl D Uf 
9-41)i 6-65 
10-18 X 7-20 
7- 52 X 5-32 
8- 44 X 5-97 
ij OO /\ U \j\J 
10- 19 X 7-21 
11- 03 X 7-80 
8- 10 X 5-73 
9- 09 X 6-43 
lO-O.'iX 7-11 
10- 98 X 7-76 
11- 88X 8-40 
8- 68 X 6-14 
9- 74 X 6-89 
10- 77 X 7-61 
11- 76 X 8 .32 
12- 73 X 9 00 
9-26 X 6-55 
10- 39 X 7-35 
11- 49X 8-12 
12- 55 X 8-87 
13- 58 X 9-60 
11 
12 
13 
14 
15 
10- 94 X 7-73 
11- 68X 8-26 
12- 40 X 8-77 
13- 11 X 9 27 
13-80 X 9-76 
11- 85X 8-38 
12- 65 X 8-94 
13- 43 X 9-50 
14- 20 X 1004 
14-95X10-57 
12- 76 X 9-02 
13- 62 X 9-63 
14- 47X10-23 
15- 29X10-81 
16- 10X11-39 
13- 67 X 9-67 
14- 60X10-32 
15- 50X10-96 
16- 38X11-59 
14- 59X10-31 
15- 57X11-01 
16- 53X11-69 
16 
17 
18 
19 
14- 49 X 10-24 
15- 16X10-72 
15- 83X11-19 
16- 48 XI l-6£ 
15- 70X11-1C 
16- 43X11-61 
... 
16-90X11-95 
... ... 
i)eilections in the midtUe for each foot in length. 
Value of 
D 
^ of an inch. 
^ofan inch. 
y^^of an inch. 
^of an inch. 
^ of an inch. 
Value of 
51840-00 lbs. 
71402-50 lbs. 
96040-00 lbs. 
126562-50 lbs. 
163840-00 lbs. 
P 
"d" 
46285 cwts. 
637-52 cwts. 
857-50 cwts. 
11 3002 cwts. 
1462-85 cwts. 
Valueof 
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. 
91 4-28 cwts 
X. 
XI. 
XII. 
XIII. 
XIV. 
* Example.— Ktdi Pine 8 feet long, 10-77 in. by 7-61 in., with 8 x 15-0669 = 120-53 
cwts. pressure in the direction of the depth, and with -5 x 120-53 = 60-26 cwts. pressure ia 
the direction of the breadth, deflects each way of an inch. 
The breaking weight, in the direction of the depth, of Red Pine 8 feet long, 10-77 in. by 
'^l in., is 8 X 15-0669 x 7-325 = 882-92 cwts. ; and in the direction of the breadth, the 
weight is 8 x -5 x 15-0669 x 10-36 = 624-37 cwts. ; the pressures being uniform 
-=8 ; or one half of those weights, if the pressures act in the middle. 
