chapter4 (equilibrium of rigid bodies)

# chapter4 (equilibrium of rigid bodies) - CHAPTER FOUR...

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CHAPTER FOUR EQUILIBRIUM OF RIGID BODIES

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4.1 INTRODUCTION Equilibrium of a rigid body requires both a balance of forces, to prevent the body from translating with accelerated motion, and a balance of moments, to prevent the body from rotating. For equilibrium: F = 0 and Mo = (r x F) = 0 In three dimensions: Fx = 0 Fy = 0 Fz = 0 Mx = 0 My = 0 Mz = 0
4.2 SOLUTION OF REAL PROBLEMS IN TWO DIMENSIONS Step 1 : Examine the space diagram and select the significant body - the free body diagram. Detach this body from the space diagram and sketch its contours Step 2: Identify and indicate all external forces acting on the body. The external forces consist of the externally applied forces, the weight and reactions of the body at the point of contact with other external bodies. Step 3: All the important dimensions must be included in the free body diagram.

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Types of Reactions Contd.

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If a support prevents the translation of a body in a given direction, then a force is developed on the body in that direction. Likewise, if rotation is prevented, a
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## This note was uploaded on 06/18/2009 for the course CE xxx taught by Professor Tuken during the Spring '09 term at Middle East Technical University.

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chapter4 (equilibrium of rigid bodies) - CHAPTER FOUR...

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