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STRENGTH OF MATERIALS. 239
Beams of symmetrical section, as square, round, elliptical,
or H section, may be calculated on theoretically correct prin-
ciples in a simpler way, obviating the use of the moment of
inertia and the modulus of rupture, as explained below.
For a beam fixed at one end and loaded at the other,
CxH2
XB Fig. 6.
H =v
P XL
CX B
. P X L
CXH2
P X L
When beam is round,
Diameter = s
-« /
P X L
C X 0.589
When beam is square,
Side = S
J PXL
P = Breaking load in pounds.
H — Thickness or height of beam in inches.
B = Width of beam in inches.
L = Length of beam in feet.
C = Constant which is obtained from experiments, and is
the weight in pounds which will break a beam 1 foot long and
1 inch square fixed at one end and loaded at the other. Con-
stant C is given in Table No. 30.
A rectangular beam fixed at one end
and loaded evenly throughout its whole
length will carry twice the load of a beam
fixed at one end and loaded at the other;
therefore,
p _ 2 X C X H2
X B
For a rectangular beam supported under both ends and
loaded at the center, fig. 8.
4X CX H2
X B
A rectangular beam supported under both ends and loaded
evenly throughout its whole length will carry twice the load of
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