Chapters 3,4, and 6 Review

Chapters 3,4, and 6 Review - F x = 0 F y = 0 Method of...

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Chapters 3 – 5 and Appendix A Review Chapter 3 Draw Free Body Diagrams A free body diagram is a pictorial representation of the equations of motion/equilibrium equations. We draw a F.B.D. using the BARFD pneumonic. B – Body A – Axes and Positive Moment Direction R – Resultant Forces (I.E. when we free the body from its supports the resultants are the forces caused by the supports) F – Applied Forces and Weights D – Dimensions of Pertinent Angles and Lengths Apply Equilibrium Equations Apply the equilibrium equations to the F.B.D. to find the resultant forces on the body. Σ F x = 0 Σ F y = 0 Σ F z = 0 Σ M axis = 0 Chapter 4 Structural Analysis Trusses Straight 2-force members connected at ends with pins. Apply one of two methods to determine the member forces. Method of Joints (Solve for no more than 2 unknowns per joint) 1) Find the resultant forces with methods from chapter 3 2) Isolate a single joint and make a F.B.D. of that joint 3) Solve for member forces using the Equilibrium Equations
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Unformatted text preview: F x = 0 F y = 0 Method of Sections 1) Find the resultant forces with methods from chapter 3 2) Pass a section cut through no more than 3-independent unknown forces 3) Draw a F.B.D. of the remaining section with cut member forces acting as applied loads 4) Solve for member forces using the Equilibrium Equations F x = 0 F y = 0 M point = 0 Frames and Machines A Structure with at least one multi-force member To Solve for Member Forces 1) If when removing the supports the structure is still rigid, find the Reactions of entire structure using techniques from Chapter 3. 2) Locate the 2-Force members 3) Disassemble the entire structure, and draw F.B.D. of multi-force members. Take special care to properly draw the Action-Reaction pairs of forces between connected members. 4) Solve for the member forces using the Equilibrium Equations F x = 0 F y = 0 M point = 0...
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