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VECTOR MECHANICS FOR ENGINEERS: STATICS

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ighth<br />

dition<br />

Vector Mechanics for Engineers: Statics<br />

Equilibrium of a Rigid Body in Two Dimensions<br />

© 2007 The McGraw-Hill Companies, Inc. All rights reserved.<br />

• For all forces and moments acting on a twodimensional<br />

structure,<br />

F 0 M M 0 M M<br />

z<br />

x<br />

• Equations of equilibrium become<br />

y<br />

Fx<br />

0 Fy<br />

0 M A 0<br />

where A is any point in the plane of the<br />

structure.<br />

• The 3 equations can be solved for no more<br />

than 3 unknowns.<br />

• The 3 equations can not be augmented with<br />

additional equations, but they can be replaced<br />

Fx<br />

0 M A 0 M B 0<br />

z<br />

O<br />

4 - 7

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