xviii 
EXAMPLES TO THE FIRST SERIES. 
To find the Scantlings of Red Pine sufficient to carry a given weight 
UNIFORMLY LOADED, and to have with that weight a given deflection. 
Example 1.— Required the Scantlings of Red Pine 14 feet long suffi- 
cient to carry a weight of 800 lbs. to the foot, or 100 cwts. uniformly 
loaded upon the beam, the deflection to be as given by the tables. 
The scantlings are given by Table XVI. 
If the breadth be 8 inches, the depth is 12-63 inches, and the deflec- 
tion is 1^ of an inch. 
If the weight be 968 lbs. to the foot, or 121 cwts. uniformly loaded 
upon the beam, the scantlings are given by Table XVII. 
If the breadth be 8 inches, the depth is 13-89 inches, and the deflec- 
tion is If of an inch. 
Therefore, 
For 100 cwts. uniformly loaded, the Scantling is 12-63 X8; say 13 X8. 
For 121 cwts. uniformly loaded, the Scantling is 13-89 X8 ; say 14 X8. 
And for those and intermediate weights the Scantlings are, 
13 X 8; 13i X 8; or 14 X 8. 
The same also are the scantlings for weights varying from 62-50 cwts. 
to 75-62 cwts. suspended from the middle. 
Example 2.— The greatest weight, uniformly loaded upon a Red 
Pine joist of any length, is 144 lbs. to the foot. Required the Scant- 
lings which with that weight deflect ^ of an inch to the foot. 
W = 144 lbs. D = 
w 144 
— = — =: 144 X 60 = 8640 lbs. uniformly loaded. 
The Scantlings are given by Table X., and every scantling therein 
with 144 fbs. weight to the foot uniformly loaded, deflects in the middle 
^ of an inch to the foot. 
Example 3. — Required the size of the Joists and Beams for a Ware- 
house Floor upon the following data : — 
Data for the Joists. 
Joists distant apart from middle to middle, 14^ inches; 
Greatest load upon the floor, 3 cwt. per superficial foot; 
Deflection when loaded, -^V of an inch to the foot. 
