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ssc-367 - Ship Structure Committee

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NOTE:<br />

The relationship given is based on:<br />

44<br />

v cr<br />

=Vrfnd= Vr(~[EI/MiLl )d<br />

substituting<br />

an = (ne m)2<br />

ITli= (W. + Wi)/g<br />

I = T d3t/8<br />

E = 4176 X<br />

106 lbs/ft2 (200,000 MN/m2)<br />

9 = 32.2 ft/sec2 (9.806m/sec2)<br />

‘o = Ys ~dt<br />

= weight density of steel, 490 lbs/ft3 (0.077MN/m3)<br />

‘s<br />

2 .2<br />

Vcr= Vr (+) [ E (~d3t/8) ~]. + d<br />

(w. + Wl) L<br />

2,<br />

‘e E (wo/Ys) d2 9 ~<br />

Vcr. Vr (~) [ ].d<br />

8 (WO+-, WI) L4<br />

Substituting for E,<br />

s, and g<br />

v<br />

cr<br />

where<br />

=Vr.<br />

C ne2<br />

(L/d)2<br />

constant C = 9195 for Vcr as ft/sec<br />

= 2800 for V~r as m/see<br />

D-19

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