EAS209 L12_Statically Indeterminate Shafts-spring 11

EAS209 L12_Statically Indeterminate Shafts-spring 11 - EAS...

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EAS 209-Spring 2011 Instructors: Christine Human 1/18/2011 1 Lecture 12 Lecture 12 Statically Indeterminate Shafts In order to determine stresses in shafts, we first need to determine internal torques and reactions. In a statically indeterminate structure, torques cannot be determined from equilibrium alone; need to supplement with relations involving deformations Today’s Objective: Analyze statically indeterminate shafts subjected to torsional loading Today’s Homework: EAS 209-Spring 2011 Instructors: Christine Human 1/18/2011 2 Lecture 12 General method for analyzing statically indeterminate torsional members is similar to approach used for statically indeterminate bars with axial loading Step 1: Write equilibrium equations in terms of unknown internal torques and reaction torques. Step 2: Formulate compatibility equations based upon physical conditions on angle of twist. Step 3: Use torque-displacement equation to relate angle of twist and torques.
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EAS 209-Spring 2011 Instructors: Christine Human 1/18/2011 3 Lecture 12
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EAS209 L12_Statically Indeterminate Shafts-spring 11 - EAS...

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