Question

1. An existing helical-coil compression spring is wound from unpeened music wire with a diameter of d= 0.105. The mean diameter of the spring is D- 0.80 as shown. The applied load fluctuates between 0 and 25lb. A design life of 10 cycles is desired. We also know that 0.577Su for this music wire. Determine the existing factor of safety for this spring n2.0 (Hint: check both fatigue and yielding) D = 0.80 in

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Answer #1

The spring index is given as

The Bergstrasser factor is

The maximum shear stress is given by

The minimum shear stress is

Mean shear stress is

Shear stress amplitude is

From Table 10-4 of Shigley, for music wire

A=201 ksi.inm, m=0.145

Hence the tensile strength is

The shear strength is

For 107 cycles (equivalent to infinite life) the endurance strength assuming unpeened wire(from table 10-28 of Shigley)

The load line slope is given by

Using Goodman criterion the ordinate intercept is

The amplitude component of strength (Ssa ) for Goodman criterion is

Hence existing fatigue factor of safety is

The existing static yield factor of safety is

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