Module 6 General Screws (twists and wrenches)
description
Transcript of Module 6 General Screws (twists and wrenches)
-
Module 6General Screws(twists and wrenches)
-
Forces in parallelJoints in seriesStaticsKinematicsCan they be reduced to a single force? (Poinsots theorem)Can they be reduced to a single joint? (Chasles theorem)
-
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
-
Moment of a pure coupleOr-FFAB
-
Poinsots central axis theorem
-
Concurrent forces can be added using the parallelogram ruleOP
-
The shifting operation (in statics)
-
The moment of two pure couples (with respect to any point) is the sum of their moments
-
The alignment operation (in statics)
-
The alignment operation (in statics)
-
The alignment operation (in statics)
-
Chasles screw axis theorem
-
Concurrent angular velocities can be added using the parallelogram rule
-
The shifting operation (in kinematics)
-
Translational velocities can always be added
-
The alignment operation (in kinematics)
-
The alignment operation (in kinematics)
-
The helicoidal velocity field
-
Can be seen as a rotation about the origin, plus a slidingTwists reinterpreted
-
Table summarizing screws, twists, and wrenches