EXAMPLES TO THE SECOND SERIES. Xxix 
By Table IV. p. 54, Red Pine 4X5 and 2 feet long with 8 cwts. uni- 
formly loaded, deflects X -016 = -0032 of an inch ; therefore. Red 
Pine 4X5 and 2 feet projection with 8 cwts. uniformly loaded, deflects 
19-2 X -0032 = -061 of an inch. 
Weight suspended from the extremity. 
The deflection of a joist or beam, projecting with one end horizon- 
tally from a wall, with a given weight suspended from the extremity, is 
32 times the deflection of the same joist or beam supported at each 
end, with the same weight suspended from the middle; and the strength 
in the former position is to that in the latter as 1 is to 4. 
For Red Pine, the breaking weight suspended from the extremity, is 
the tabular weight in the Second Series of Tables. 
Example 15. — Required the Scantlings of Red Pine, of any projection, 
sufficient to support 4 cwts. suspended from the extremity ; the scant- 
lings to break with 10 times that weight, 
10 X 4 = 40 cwts. is the tabular weight in the Second Series. 
The scantlings for 2 feet, 3 feet and 4 feet projection are the same as 
in the last Example. 
By Table IV. p. 54, Red Pine 4X5 and 2 feet long with 4 cwts. 
suspended from the middle, deflects X -026 = -0026 of an inch ; there- 
fore. Red Pine 4X5 and 2 feet projection with 4 cwts. suspended from 
the extremity, deflects 32 X -0026 = -0832 of an inch. 
Tojind the Scantlings of Red Pine sufficient to carry a weight, placed 
IN ANY POSITION UPON THE SCANTLING, which Weight shall be any 
gii>en 'portion of the breaking iveight. 
Weight uniformly loaded upon a portion of the Beam. 
When the weight is uniformly loaded upon a portion of a beam, find 
the weight uniformly loaded upon the whole of the beam which shall 
