CE 201 - Statics

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CE 201 - Statics

• Chapter 5 Lectures 4 and 5

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EQUILIBRIUM IN THREE DIMENSIONS

• Free-Body Diagram
• Equations of Equilibrium

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Free-Body Diagram

• It is necessary to draw free-body diagram before
  solving problems associated with equilibrium of
  bodies.

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Support Reactions

• Table 5-2 shows the reactive forces and couple
  moments acting at various types of supports and
  connections in three dimensions.
• Force is developed in the direction where
  translation of the body is prevented.
• Couple moment is developed in the direction where
  rotation of the body is prevented.

Single Journal Bearing with Square Shaft
Ball and Socket
Single Journal Bearing
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Equation of Equilibrium

• Vector Formulation
• ? F 0
• ? Mo 0
• F represents the sum of all external forces
  acting on the body.
• M represents the sum of couple moments and
  moments of all forces about point O.

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• Scalar Formulation
• ? Fx 0 ? Fy 0 ? Fz 0
• and
• ? Mx 0 ? My 0 ? Mz 0
• Six equation can be used to solve for six unknowns

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