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Chapter 4 equilibrium of rigid bodies

Raul Romo A01371387. Chapter 4 equilibrium of rigid bodies. General condition. All the forces acting in a rigid body must be i equilibrium (=0) ∑Mo=0 ∑Mo=∑(RxF)=0. Rectangular conditions. ∑MFx=0 ∑ MFy= 0 ∑ MFz= 0 ∑Fx =0 ∑Fy= 0 ∑Fz= 0. Free body diagram.

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Chapter 4 equilibrium of rigid bodies

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  1. Raul Romo A01371387 Chapter 4 equilibrium of rigid bodies

  2. General condition • All the forces acting in a rigid body must be i equilibrium (=0) • ∑Mo=0 • ∑Mo=∑(RxF)=0

  3. Rectangular conditions • ∑MFx=0 • ∑MFy=0 • ∑MFz=0 • ∑Fx=0 • ∑Fy=0 • ∑Fz=0

  4. Free body diagram

  5. The point from where we take moments, is an arbitrary point along the structure. • We must always consider the perpendicular distance to the forces.

  6. Statical indeterminacy • When we have more than 3 uknowns in the system, it cant be solved. • Then its Staticcally indeterminated.

  7. Partial constraints • When the system haves less than 3 unknowns. • The system cant keep equilibrium under general conditions, therefore it is partially constrain. Besides equilibrium isn't guaranteed.

  8. ·3D equilibrium • We should have 6 uknowns • ∑Mo=∑(RxF)=0 • We must use unit vectors, and also ans scalar distance from the selected point of action. • We can eliminate the reactions if we write: • ∑MaMb=0

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