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# Lecture1c(2)

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### Lecture1c(2)

1. 1. Today’s topic: - Statically equivalent system of forces Book: Chapter 3.1 - 3.3
2. 2. Varignon’s principle The moment of a force about any point is equal to the sum of the moments of the components of this force.
3. 3. Couple
4. 4. Resultant force A single resultant force in a specific point that replaces all forces and couples in a body FR ∑= ( ) 0FrM =×∑=R
5. 5. Position of resultant force along -axis
6. 6. A C B Where does the line of action of the resultant cross the -axis? A) Close to A B) Close to B C) In C D) Somewhere else
7. 7. Where does the line of action of the resultant cross the -axis? A) Close to A B) Close to B C) In C D) It does notA C B
8. 8. Static equilibrium of a body (Newton’s first law) The equivalent force and moment in any point is equal to zero.
9. 9. Check equilibrium
10. 10. Static equilibrium of a body In general:
11. 11. The body is in equilibrium. Calculate F1,F2 and F3
12. 12. A B A B C
13. 13. Is the body in equilibrium?
14. 14. Recap: Static equilibrium of a body In general:
15. 15. Two- and three-force members
16. 16. Free-body diagram A diagrammatic representation of the isolated system treated as a single body.