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Static Equilibrium

Text book for the mechanics of materials

Static Equilibrium
・Static Equilibrium
・Reaction Force & Moment
・Equation of Equilibrium

Note: Your feedback is welcome!

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Static Equilibrium

  1. 1. Static Equilibrium 1. Static Equilibrium 2. Reaction Force & Moment 3. Equation of Equilibrium Goal 1/9
  2. 2. Static Equilibrium Force No translation Moment No rotation Staying at rest 2/9
  3. 3. Equilibrium of Force F1 F2 F3 F1 F2 F3+ + = 0 ΣFi = i 0 Vector Component ΣFij = i 0 ( j = x, y, z ) F1x + F2x + F3x = 0 F1y + F2y + F3y = 0 F1z + F2z + F3z = 0 F1 F1x F1y F1z = F2 F2x F2y F2z = F3 F3x F3y F3z = 3/9
  4. 4. Reaction Force F Constraint Constraint R1 R2 N1 Constraints may derive Reaction force x y Up & Down left& Right Up & Down 4/9
  5. 5. Equation of Equilibrium of Force ? F R1 R2 N1 x y x component y component R1 + R2 + ( -F ) = 0 Note: positive or negative direction N1 = 0 R1 + R2 - F = 0 5/9
  6. 6. Equilibrium of Moment M1 M3 M2 M1 M2 M3+ + = 0 ΣMi = i 0 Vector Component M1x + M2x + M3x = 0 M1y + M2y + M3y = 0 M1z + M2z + M3z = 0 ΣMij= i 0 ( j = x, y, z ) 6/9
  7. 7. Reaction Moment x y F R1 Axis N1 M1 r rF Constraint left& Right Up & Down Rotation 7/9
  8. 8. Equilibrium Equation of Moment? F R1 Axis N1 M1 r rF M1 + ( -rF ) = 0 rFM1 - = 0 8/9
  9. 9. Summary 1. Static Equilibrium 2. Reaction Force 3. Equation of Equilibrium Staying at rest Constraints may derive Reaction force ΣMi = i 0ΣFi = i 0 No rotationNo translation Constraint left& Right Up & Down Rotation 9/9 Force Moment

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    Aug. 6, 2019
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    Oct. 30, 2020

Text book for the mechanics of materials Static Equilibrium ・Static Equilibrium ・Reaction Force & Moment ・Equation of Equilibrium Note: Your feedback is welcome!

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