P_-_Method_of_Joints - STRUCTURAL STRUCTURAL ANALYSIS...

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Unformatted text preview: STRUCTURAL STRUCTURAL ANALYSIS ANALYSIS Method Of Joints Method Of Joints LEARNING OBJECTIVES LEARNING OBJECTIVES Be able to define a simple truss Be able to define a simple truss Be able to determine the forces in Be able to determine the forces in members of a simple truss using members of a simple truss using the method of joints the method of joints Be able to identify the zero-force Be able to identify the zero-force members members PRE-REQUISITE KNOWLEDGE PRE-REQUISITE KNOWLEDGE Units of measurement Units of measurement Trigonometry concepts Trigonometry concepts Rectangular component concepts Rectangular component concepts Equilibrium of forces in 2-d Equilibrium of forces in 2-d SIMPLE TRUSS A simple truss is a planar truss (2-D truss) which begins as a triangular element and can be expanded by adding two members and a joint. For these trusses, the number of members (M) and the number of joints (J) are related by the equation M = 2(J) – 3 Check if the following truss is a simple truss EXAMPLE M = 11 & J = 7 M = 2(J) – 3 11= 2(7)-3 11 = 11 SOLUTION Simple Truss ! ANALYSIS AND DESIGN Assumptions Two assumptions are made for the analysis of trusses: 1. All loads are applied at the joints. 2. The members are joined together by smooth pins. The two assumptions imply that the members act as two-force members (pure axial-force member), either in tension or compression. Note: Compressive members are made thicker to prevent buckling. METHOD OF JOINTS The method of joints involves the analyses of forces in each truss member using 2-D equilibrium equations at each joint (pin). Since the pin does not carry moment, the 2-D equilibrium equations are: ∑ F = 0 and ∑ F = 0 Find the forces in members AB and BC EXAMPLE SOLUTION Use the method of joints and draw a free body diagram at B ∑ F x = 0; 500 – F BC...
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This note was uploaded on 10/31/2010 for the course CEE CE 221 taught by Professor Baladi during the Fall '10 term at Michigan State University.

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P_-_Method_of_Joints - STRUCTURAL STRUCTURAL ANALYSIS...

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