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STRENGTH OF MATERIALS. 257
6" = Deflection in inches.
L = Length of span in feet.
P = Load in pounds.
IV= Weight of beam in pounds.
c = Constant obtained by experiments, and is the deflec-
tion in fractions of an inch, which a beam one foot long and
one inch square will have if supported under both ends and
loaded at the center, and may be found in Table No. 31.
//= Thickness of beam in inches.
B = Width of beam in inches.
Rule.
To the load add five-eighths of the weight of beam, mul-
tiply this by the cube of the length of the span in feet, and
multiply by a constant from Table No. 31. Divide this product
by the product of the cube of the thickness and the width of
the beam ; the quotient is the deflection in inches.
The deflection in a beam supported under both ends and
loaded evenly throughout is five-eighths of that of a beam
supported under both ends and loaded at the center. Therefore,
in the following formulas, the weight of the beam itself is multi-
plied by five-eighths to reduce the effect of the weight of the
beam to the equivalent of a load placed at its center.
FOR SOLID SQUARE BEAMS.
Fig. 28
FOR SOLID RECTANGULAR BEAMS.
B "I
s =
FOR HOLLOW SQUARE BEAMS
—
H
c (P + H W) Z3
//4 — h±
Hrt
Fig. 30
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