module 6 general screws (twists and wrenches)
DESCRIPTION
Module 6 General Screws (twists and wrenches). Statics. Kinematics. Forces in parallel. Joints in series. Can they be reduced to a single force? ( Poinsot’s theorem ). Can they be reduced to a single joint? ( Chasles’ theorem). Recall An axiom of statics. - PowerPoint PPT PresentationTRANSCRIPT
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Module 6General Screws(twists and wrenches)
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Forces in parallelJoints in seriesStaticsKinematicsCan they be reduced to a single force? (Poinsots theorem)Can they be reduced to a single joint? (Chasles theorem)
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RecallAn axiom of staticsTwo force systems are equivalent if and only if: They have the same resultant force They have the same moment with respect to some point
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Moment of a pure coupleOr-FFAB
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Poinsots central axis theorem
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Concurrent forces can be added using the parallelogram ruleOP
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The shifting operation (in statics)
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The moment of two pure couples (with respect to any point) is the sum of their moments
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The alignment operation (in statics)
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The alignment operation (in statics)
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The alignment operation (in statics)
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Chasles screw axis theorem
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Concurrent angular velocities can be added using the parallelogram rule
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The shifting operation (in kinematics)
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Translational velocities can always be added
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The alignment operation (in kinematics)
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The alignment operation (in kinematics)
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The helicoidal velocity field
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Can be seen as a rotation about the origin, plus a slidingTwists reinterpreted
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Table summarizing screws, twists, and wrenches