M3-6 - Module Objective By the end of this Module you...

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1 CIV100 – Mechanics Module 3: Structural Analysis by: Jinyue Zhang 2011/10/13 1 Module Objective By the end of this Module you should be able to: Analyze complex structures such as frames and machines Understand what a truss is Know how to find internal forces in a truss using the method of joints using the method of sections 2011/10/13 2 Today’s Objective Study structures with complex composition No new theory or new method Examples 2011/10/13 3 Frames and Machines Frames Composed of pin-connected rigid members/parts Stationary Used to support loads (multiple forces, concentrated or distributed) Machines Composed of pin-connected rigid members/parts and other moving parts such as pulleys, Used to transmit or alter the effect of forces 2011/10/13 4 Frames and Machines Frames and Machines Properly constrained Contain no more supports than are necessary to prevent collapse As such, they are statically determinate Sometimes, a structure is the combination of frames and machines 2011/10/13 5 Procedure for Analysis You normally need to separate members/parts when analyzing frames, machines or their combinations. Determine which part is solvable and start with that part. Draw FBD of that part by drawing its outlined shape . Show all forces and/or couple moments that act on the part. Establish coordinate system and label all known and unknown forces and moments . Assume the sense of unknown forces/moments. Solve the part by applying EoE. Bring solved reaction forces to other parts, and solve them. Separating connected members will expose forces and their reaction forces on separated sections. A force and its reaction force have equal magnitudes but opposite sense on the respective sections. If the members are treated as a system of connected members then the forces and their reaction forces become internal . Tip: Identifying two-force members and zero-force members in the structure will avoid unnecessary work.
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2 2011/10/13 6 Example 1: Frame Determine the reactions at its supports A, B (on member AB), and C? 2011/10/13 7 Example 1: Frame Determine the reactions at its supports A, B (on member AB), and C? 2011/10/13 8 Example 2: Simple Pulley System Determine the tension in the cables and also the force P required to support the 600 N force suing the frictionless pulley system. 2011/10/13 9 Example 2: Simple Pulley System Determine the tension in the cables and also the force P required to support the 600 N force suing the frictionless pulley system. 2011/10/13 10 Example 3: Another Pulley System A man having a weight of 750 N supports himself by means of cable and pul ey system. If the seat has a weight of 75 N, determine the force that he must exert on the cable at A and the force he exerts on the seat. Neglect the weight of the cables and pul eys.
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M3-6 - Module Objective By the end of this Module you...

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