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Method of Joints –Example

Method of Joints –Example. Using the method of joints, determine the force in each member of the truss. Method of Joints –Example. Draw the free body diagram of the truss and solve for the equations. Method of Joints –Example. Solve the moment about C. Method of Joints –Example.

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Method of Joints –Example

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  1. Method of Joints –Example Using the method of joints, determine the force in each member of the truss.

  2. Method of Joints –Example Draw the free body diagram of the truss and solve for the equations

  3. Method of Joints –Example Solve the moment about C

  4. Method of Joints –Example Look at joint A

  5. Method of Joints –Example Look at joint D

  6. Method of Joints –Example Look at joint B

  7. Method of Joints –Example Look at joint E

  8. Method of Joints –Example Look at joint C to check the solution

  9. Method of Joints –Class Problem Determine the forces BC, DF and GE. Using the method of Joints.

  10. Method of Sections -Truss The method of joints is most effective when the forces in all the members of a truss are to be determined. If however, the force is only one or a few members are needed, then the method of sections is more efficient.

  11. Few simple guidelines of section truss analysis: • Pass a section through a maximum of 3 members of the truss, 1 of which is the desired member where it is dividing the truss into 2 completely separate parts, • At 1 part of the truss, take moments about the point (at a joint) where the 2 members intersect and solve for the member force, using ∑ M = 0, • Solve the other 2 unknowns by using the equilibrium equation for forces, using ∑ Fx = 0 and ∑ Fy = 0.

  12. Method of Sections -Truss If we were interested in the force of member CE. We can use a cutting line or section to breakup the truss and solve by taking the moment about B.

  13. Method of Sections – Example Determine the forces in members FH, GH and GI of the roof truss.

  14. RAx L RAy Method of Sections – Example Draw a free body diagram and solve for the reactions.

  15. RAx L RAy Method of Sections – Example Solve for the moment at A.

  16. Method of Sections – Example Solve for the member GI. Take a cut between the third and fourth section and draw the free-body diagram.

  17. Method of Sections – Example The free-body diagram of the cut on the right side.

  18. Method of Sections – Example Use the line of action of the forces and take the moment about G it will remove the FGI and FGH and shift FFH to the perpendicular of G.

  19. Method of Sections – Example Take the moment at G

  20. Method of Sections – Example Use the line of action of the forces and take the moment about L it will remove the FGI and FFH and shift FGH to point G.

  21. Method of Sections – Example Take the moment at L

  22. Method of Sections – Class Problem Determine the forces in members CD and CE using method of sections.

  23. Homework (Due 2/24/03) • Problems: 6-34, 6-37, 6-38, 6-40, 6-45, 6-63

  24. Truss –Bonus Problem Determine whether the members are unstable, determinate or indeterminate.

  25. Truss –Bonus Problem Determine the loads in each of the members.

  26. Truss –Bonus Problem Determine the loads in each of the members.

  27. Truss –Bonus Problem Determine the loads in each of the members.

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