EXAMPLES TO THE SECOND SERIES. 
xxvii 
If the beams are mortised for the joists, add from ^ an inch to an 
inch to the depth or breadth of the beams. 
*** In determining the Scantlings for Raking Beams to carry a 
Gallery Floor, the horizontal distance between the brest-summer 
and the wall should be taken for the length of the beam, and 
the scantlings calculated as though the floor were level. The 
greatest weight upon a gallery floor, includmg the weight of the 
floor, ceiling, and framing, may be estimated at about 1-5 cwts. 
per superficial foot; and the breaking weight should be not less 
than 4 times the greatest weight. 
Weight suspended from the middle. 
The breaking weight in cwts, multiplied by the value of c in Col. IV. 
p. 50, gives the tabular weight. 
Example 12. — Required the scantlings of English Oak 12 feet long, 
sufficient to carry 80 cwts. suspended from the middle ; the breaking 
weight to be 5 times that weight. 
By Col. IV. p. 50, for EngUsh Oak ; e = -2353. 
5 X 80 X -2353 = 94-12 cwts. ; the tabular weight. 
The scantlings are the same as in Example 1 0. 
Example 13. — What should be the size of a beam 16 feet long clear 
bearing, to support a pair of scales suspended from the middle, for the 
purpose of weighing 2 tons of metal ?* 
Suppose the scales, weights, metal, and one-half the beam to weigh 
86 cwts. 
If the timber be Red Pine, and the deflection as in the First Series 
of Tables, then by Table XVII. p. 28, the Scantlings are,— 
15-87X8; 15-26X9; 14-74X10; 14-28X11; 13-87X12; 
13-50X13; &c. 
Deflection of each scantling of an inch. 
If the beam be 13i X 13, then nearly 7 times the weight of the 
metal, &c., is the breaking weight of the beam. 
* The consitleration of the above question, put to the Author May 24, 1847, led to the 
construction and eventually to the publication of these tables. 
