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Chapter SummaryTruss Analysis A simple truss consists of triangular elements connected by pin joints The force within determined by assuming all the members to be two force member, connected concurrently at each jointMethod of Joints For the truss in equilibrium, each of its joint is also in equilibrium
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Chapter SummaryMethod of Joints For a coplanar truss, the concurrent force at each joint must satisfy force equilibrium For numerical solution of the forces in the members, select a joint that has FBD with at most 2 unknown and 1 known forces Once a member force is determined, use its value and apply it to an adjacent joint Forces that pull on the joint are in tension
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Chapter SummaryMethod of Joints Forces that push on the joint are in compression To avoid simultaneous solution of two equations, sum the force in a direction that is perpendicular to one of the unknown To simplify problem-solving, first identify all the zero-force members
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Chapter SummaryMethod of Sections For the truss in equilibrium, each section is also in equilibrium Pass a section through the member whose force is to be determined Draw the FBD of the sectioned part having the least forces on it Forces that pull on the section are in tension
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Chapter SummaryMethod of Sections Forces that push on the section are in compression For a coplanar force system, use the three equations of equilibrium for solving If possible, sum the force in a direction that is perpendicular to two of the three unknown forces Sum the moment about a point that passes through the line of action of two of the three unknown forces
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Chapter SummaryFrames and Machines The forces acting at the joints of a frame or machine can be determined by drawing the FBD of each of its members or parts Principle of action-reaction should be observed when drawing the forces For coplanar force system, there are three equilibrium equations for each member
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