Chapter5

# Chapter5 - Mechanics Materials I Chapter 5 Structural...

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FAMU-FSU College of Engineering Department of Mechanical Engineering Chapter 5 Chapter 5 Structural Analysis Structural Analysis

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• Trusses – Slender members – Joined at end points
Trusses Trusses • Planar Trusses – Single plane – Supports roofs and bridges • Simple Truss – Basic Triangle element

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Trusses Trusses • Assumptions for design – All loadings are applied at the joints. • neglect weights of the members – The member are joined together by smooth pins. concurrent joining members – Two force members
Trusses Trusses • Example -1 : Free-body diagram A B C F A B C F A y A x B y F BC F BC F AB F AB F AC F AC F AC F BC F C A A y A x F AC F AB B B y F BC F AB

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Trusses Trusses • Correct sense of an unknown member force – Always assume that the unknown member forces are in tension . • A positive answer indicates tension (T) and a negative answer indicates compression (C). – The correct sense of an unknown member force can in many cases be determined “by inspection.” • A positive answer indicates that the sense is correct, whereas a negative answer indicates that the sense is wrong and must be reversed.
Method of Joints Method of Joints – Draw the free-body diagram of the truss. – Find the external reactions (if necessary). – (Try to) Start with a joint having at least one known force and at most two unknown forces (why 2?). – Draw the joints free-body diagram and find the unknown forces. – Continue to analyze each of the other joints.

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Example Example - - 1: Method of Joints 1: Method of Joints • Problem: • Use the method of joints to find the force in each member of the truss at the shown figure.
Solution of Example Solution of Example - - 1 1 • First draw FBD of the entire truss and find the reactions from the equilibrium equations lb 500 A lb 2500 0 8 ) 2000 ( 8 ) 1000 )( 4 ( 0 2000 1000 0 1000 y - = - = = + - - = = + + - = + - = = + = + y y A y y y x x x B B M B A F lb A A F

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. Solution Cont.,.
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Chapter5 - Mechanics Materials I Chapter 5 Structural...

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