Module 6 General Screws (twists and wrenches)

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# Module 6 General Screws (twists and wrenches) - PowerPoint PPT Presentation

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.

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Presentation Transcript

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)

RecallAn axiom of statics
• Two force systems are equivalent if and only if:
• They have the same resultant force
• They have the same moment with respect to some point

M = r x F

Moment of a pure couple

r

F

A

B

-F

O

Poinsot’s central axis

The alignment operation(in statics)

Chasles’ screw axis

The alignment operation(in kinematics)

Twists reinterpreted

Can be seen as a rotation about the origin, plus a sliding