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Fluid Mechanics FE Review Fluid Mechanics FE ... - Inside Mines

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PPI<br />

<strong>Fluid</strong> Statics Examples<br />

Example 1 (<strong>FE</strong>IM):<br />

The tank shown is filled with water. At<br />

what depth does the resultant force act?<br />

The surface under pressure is a<br />

rectangle 1 m at the base and<br />

2.31 m tall.<br />

<strong>Fluid</strong> Statics Examples<br />

Professional Publications, Inc.<br />

A = bh<br />

Iy = c b3h 12<br />

Z 4 m<br />

c = = 4.618 m<br />

sin60°<br />

Using the moment of inertia for a rectangle given in the NCEES<br />

Handbook,<br />

z* = I y c<br />

AZ c<br />

=<br />

b<br />

=<br />

3 h<br />

12bhZc = b2<br />

12Z c<br />

(2.31 m) 2<br />

= 0.0963 m<br />

(12)(4.618 m)<br />

R depth = (Z c + z*) sin 60°= (4.618 m + 0.0963 m) sin 60°= 4.08 m<br />

Professional Publications, Inc.<br />

9-2f1<br />

<strong>FE</strong>RC<br />

9-2f2<br />

<strong>FE</strong>RC<br />

10

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