ME214StaticsChapter6Spring07

ME214StaticsChapter6Spring07 - ME 214 Vector Statics Todays...

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ME 214 Vector Statics Chapter 6 Instructor: A Rezaei Today’s Objective: Students will be able to: Students will be able to: a) Define a simple truss. b) Determine the forces in members of a simple truss. c) Identify zero-force members. a) Define a Simple Truss A truss is a structure composed of slender members joined together at their end points. If a truss, along with the imposed load, lies in a single plane (as shown at the top right), then it is called a planar truss . A simple truss is a planar truss which begins with 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. b) THE METHOD OF JOINTS 1
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STEPS FOR ANALYSIS of Trusses using the Method of Joints 1. If the support reactions are not given, draw a FBD of the entire truss and determine all the support reactions using the equations of equilibrium. 2. Draw the free-body diagram of a joint with one or two unknowns. Assume that all unknown member forces act in tension (pulling the pin) unless you can determine by inspection that the forces are compression loads. 3. Apply the scalar equations of equilibrium, F X = 0 and F Y = 0, to determine the unknown(s). If the answer is positive , then the assumed direction (tension ) is correct, otherwise it is in the opposite direction (compression). 4. Repeat steps 2 and 3 at each joint in succession until all the required forces are determined. Example 1
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ME214StaticsChapter6Spring07 - ME 214 Vector Statics Todays...

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