Chapter 5.3 - 5.4_lect.pdf

Chapter 5.3 - 5.4_lect.pdf - Chapter 5 Equilibruim of a...

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Chapter 5 Equilibruim of a Rigid Body 5.3: Equations of Equilibrium 5.4: Two- and three-force members Objectives : b) Apply equations of equilibrium to solve for unknowns. C) Recognise two - or three - force members. 1 a) Develop equations of equilibrium in 2-D
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2 Imagine a body subjected to a system of forces that lie in the x - y plane: For equilibrium of a rigid body in 2-D, F x = 0; ∑ F y = 0; ∑M O = 0 • ∑ F x and ∑ F y represent sums of x and y components of all the forces • ∑M O represents the sum of the couple moments and moments of the force components Most commonly used equations for 2-D coplanar equilibrium problems 5.3: Equations of Equilibrium
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3 Alternative sets of Equilibrium Equations First set: Line through A and B not parallel to y - axis (on same line) collinear not and C A, B
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QQ 5.3 The most commonly used conditions for Equilibrium in the x-y plane are: A. D. C. B. F y = 0; ∑ F = 0; ∑M X = 0 F = 0; ∑ F = 0; ∑M = 0 F = 0; ∑ = 0; ∑M = 0 F = 0; ∑ M = 0; ∑M = 0 X y Y M X X X Y O O x
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5 Example 5.3-1
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