Machine Design

Cover Machine Design
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Such springs may be used to resist extension or compression or they may be used to resist a twisting moment.
Tension and Compression.
Let Li length of axis of spring. D=mean diameter of spring. I developed length of wire. D= diameter of wire.
E= ratio ^-. D n= number of coils.
P= tensile or compressive force.
x= corresponding extension or compression.
=safe torsional or shearing strength of wire.
=45000 to 60000 for spring brass wire.
=T5000 to 115000 for cast steel tempered. G= modulus of tors
...ional elasticity.
6000000 for spring brass wire.
= 12000000 to 15000000 for cast steel, tempered. Then Z = If the spring were extended until the wire became 73 74 MACHINE DESIGN.
straight it would then be twisted n times, or through an angle = 27m and the stretch would be I L. The angle of torsion for a stretch =x is then Suppose that a force P' acting at a radius -~ will a twist this same piece of wire through an angle causing a stress S at the surface of the wire. Then will the distortion of the surface of the wire per inch of length be s=^ and the stress S=^=^ .


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