Lecture 6.Biomechanics.Students

Lecture 6.Biomechanics.Students - MECHANICS OF THE...

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1 MECHANICS OF THE MUSCULOSKELETAL SYSTEM Lecture 6 Applications to Biomechanics OBJECTIVES | Be able to draw a free-body diagram (FBD) for a statically determinate joint. | Use the equilibrium equations to solve for joint reaction forces for a statically determinate case. Discuss how engineers can quantify injury in | Discuss how engineers can quantify injury in order to develop safer products and provide examples | Describe whiplash STATIC EQUILIBRIUM | Derived from Newton’s laws of motion | Static equilibrium means no accelerations - but not necessarily no motion
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2 EQUATIONS OF EQUILIBRIUM Forces: F i = 0 F x = 0 F y = 0 By definition , force is positive in the positive direction of the coordinate axis chosen Moments (Force × Distance): F z = 0 M i = 0 M x = 0 M y = 0 M z = 0 By definition , a moment is positive if the moment rotates the body counter- clockwise (CCW) FREE BODY DIAGRAM | A pictorial representation of forces and reactions | Forces drawn on a detached (free) body | Label distances between forces and moments JOINT REACTIONS SOLUTION METHOD | Draw a complete free-body diagram | List simplifying assumptions | List the known quantities | List the unknown quantities | Write all the equations of equilibrium | If number of unknowns = number of equations, solve the resulting system of equations
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3 EXAMPLE: CANTILEVER BEAM a M R F = 0 -P + R = 0 Pa - M = 0 P M = Pa M = 0 R = P EXAMPLE PROBLEM FORCES IN AN ELBOW JOINT J y B θ 1. Elbow joint is frictionless : no moment W a J x b 2. W is much greater
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This note was uploaded on 08/13/2010 for the course ENGR ENGR 213 taught by Professor Griffin during the Spring '10 term at Cal Poly.

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Lecture 6.Biomechanics.Students - MECHANICS OF THE...

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