Lecture+17

# Lecture+17 - 440:221 Intro to Engineering Mechanics Statics...

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440:221 Intro to Engineering Mechanics: Statics Instructor: Alberto Cuitino TA: Pam Carabetta and Jingru Zhang Lecture 17 Fall 2009 1 Based on Textbook Material: Engineering Mechanics Statics, 12 th Edition, R.C. Hibbeler, Pearson 2010.

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440:221 Lectures ethod of the joints Method of the joints School of Engineering, Fall 2009 2
440:221 Lectures opics to be covered Topics to be covered • How do we analyze simple truss structures using the method of the joints? School of Engineering, Fall 2009 3

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440:221 Lectures ethod of the joints Method of the joints When using the method of joints to solve for the forces in truss embers the equilibrium of a int (pin) considered All forces A free body diagram of Joint B members, the equilibrium of a joint (pin) is considered. All forces acting at the joint are shown in a FBD. This includes all external forces (including support reactions) as well as the forces acting in the members. Equations of equilibrium ( F = 0 and F = 0) are used School of Engineering, Fall 2009 qq ( X Y ) to solve for the unknown forces acting at the joints.
440:221 Lectures teps for analysis 1. If the truss’s support reactions are not given, draw a FBD of the Steps for analysis entire truss and determine the support reactions (typically using scalar 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 ompression loads compression loads. 3. Apply the scalar equations of equilibrium, F X = 0 and F Y = to determine the unknown(s) If the answer is ositive en the 0, to determine the unknown(s). If the answer is positive , then the assumed direction

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Lecture+17 - 440:221 Intro to Engineering Mechanics Statics...

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