module 6 general screws twists and wrenches
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Module 6 General Screws (twists and wrenches)

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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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slide2

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
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
moment of a pure couple

M = r x F

Moment of a pure couple

r

F

A

B

-F

O

slide11

Poinsot’s central axis

The alignment operation(in statics)

slide17

Chasles’ screw axis

The alignment operation(in kinematics)

slide19

Twists reinterpreted

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

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