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STRENGTH OF MATERIALS. 241
The following formulas will apply to the strength of beams
of the shape shown in the adjacent sectional cuts. These for-
mulas pertain only to the ultimate breaking strength of beams,
and have nothing to do with deflection, which follows entirely
different laws.
SOLID SQUARE BEAMS.
P = Cxlf*
L
CXH*
Fig. 12. c= PXL
HOLLOW SQUARE BEAMS.
p= CX {H* — h*)
LXH
Fig. 13.
jj
P —
L =
SOLID RECTANGULAR BEAMS
CX B X If 2
FIG. 14
L m
CX Bx H2
" C X B
7
B =
%~L
B "I
PXL
CX H2
PXL
B X H2
HOLLOW RECTANGULAR BEAMS.
P= CX (
B X H* — b X
HXL
r = CX(BXH*—bXh*)
P X If
SOLID ROUND BEAMS.
p _ 0.589 C X Dz
fig. 16.
Fig. 15.
Z = 0.589 CX D*
D=J PXL
* 0.589 C
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