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\fdO'^ - Old Forge Coal Mines

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STRENGTH OP MATERIALS. 223<br />

(594) (a) Using formula 87,<br />

P= 12,000 fl^' = 12,000 X (^) = 9,187.5 lb. Ans.<br />

(d) Formula 88 gives P= 18,000^*.<br />

Therefore, ^=VCj:=4/W^/4^^^^, An.<br />

(595) The deflection is, by formula 75,<br />

Wl' 1 W/"<br />

s = a ,, = —— „ ,<br />

, the coefficient being found from the<br />

is / 192 -c /<br />

*<br />

table of Bending Moments.<br />

Transposing, IV =-^, ;<br />

.7854; s = ^.<br />

/=<br />

120; ^= 30,000,000; /=<br />

_,, „. 192 X 30,000,000 X .7854 oo-v or lu a<br />

Then, IV =<br />

g ^ ^^q,<br />

= 327.25 lb. Ans.<br />

(596) (a) The maximum bending moment is, accord-<br />

4. ^u ^ u^ c Ti A- Tvj . ^^ 6,000X60<br />

mg to the table of Bendmg Moments, —r— = — j =<br />

90,000 inch-pounds.<br />

By formula 74,<br />

5, = 120,000;/=<br />

Hence, 90,000 =<br />

5 /<br />

J/ =90,000 = -^ -.<br />

'^^ '^^^<br />

10. ^=<br />

c ^d 32<br />

120,000 Ttd'<br />

10 32 '<br />

, .V90,000 X 10 X 32 -<br />

, .,, ,,, ,<br />

= ^-'^^ = ^ '<br />

^^ ^=^ 120,000X3.1416<br />

(^) Using formula 80,<br />

"^^^^-^^<br />

*/~H */75<br />

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