\fdO'^ - Old Forge Coal Mines

STRENGTH OF MATERIALS. 219
In Example 580, IF = 4,624 lb.; /=96 in.; ^=15,000,000,
and /= 50.945.
„ 4,624 X 96' -,» , A
"^"^"' ' = 48X15,000,000X56.945 = "^ ' ""^'"^>^- ^"^-
(f) .y =
5 W/*
gg^ -^j-.
In Example 581 (a), W= 78.12 X 16;
/=192; i5"= 1,500,000, and 7=^1^. 12
„ 5X78.12X16X192* ,,.,,
^""^^' ^ ^ 384 X 1,500,000 XHF
.
^-''"' '^'''•
(583) Area of piston = ^7r^» = ^rx 14\
1
IV=- pressure on piston = - z x 14' X 80.
From the table of Bending Moments, the maximum
bending moment for a cantilever uniformly loaded is
^ ^ ^ i-'X
i^ 14-^X80x4 ^ ^ / g^^ j^^_^^,^ ^^
&= 15^ = 4,500. L^lklf^^ a-,
f 10 c ^a 32
„ iJtXU'x80x4 4,500ira"
Hence,
=
^ -^5—,
^^^.^ 14-x 80X4X32 ^
4 X 2 X 4,500
^ = ^^55775 = 3. 82'. Ans.
(584) Substituting in formula 76, 5, = 90,000; A =
6' X .7854; /==6; /=14x 12=168; ^=5,000; /=^X
6\ we obtain
4+77) t+^;^^^;^xi4p«:)
^--
64
5
(585) For timber, 5, = 8,000 and /=8; hence, =
-^
8,000 , ^^^
-^-3— = 1,000.