Question

Design an extension coil spring to handle a dynamic load ranging from 275 at 325 N, during a working deflection of 10 mm. Use silicon chrome wire and standard hooks. The forced frequency is 800 cycles per minute. if you want life infinite. Determine the appropriate factors of safety against fatigue and oscillation. 

          Design an extension coil spring to handle a dynamic load ranging from 275
at 325 N, during a working deflection of 10 mm. Use silicon chrome wire and
standard hooks. The forced frequency is 800 cycles per minute. if you want life
infinite. Determine the appropriate factors of safety against fatigue and oscillation.
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Design an extension coil spring to handle a dynamic load ranging from 275 at 325 N, during a working deflection of 10 mm. Use silicon chrome wire and standard hooks. The forced frequency is 800 cycles per minute. if you want life infinite. Determine the appropriate factors of safety against fatigue and oscillation.
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Transcript

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00:01 The stiffness of the spring is given by k is equal to gd to the power 4 by 8 d cube multiplication n.
00:13 Let it be equation number 1.
00:15 Now fundamental natural frequency of the spring is given by f1 is equal to 1 by 2 multiplication under root kg by w.
00:26 Let it be equation number 2.
00:29 Now the value of the spring index is given by capital d by small d is greater than equal to 6 or i can write capital d by small d is equal to 6, 8, 10.
00:43 Spring stiffness value range is given by k which is greater than equal to 8 ,000 newton per mm or i can write k is greater than equal to 8 multiplication 10 to the positive 6 newton per mm or i can write k is greater than equal to 8 multiplication 10 to the power 6 newton per mm.
00:59 Meter now weight of the spring out as w is equal to area of spring multiplication weight per unit weight per unit volume multiplication turn circumference so it will be equal to pi multiplication d multiplication and multiplication row multiplication pi small d square by 4 now i can write the value of f1 as f1 is equal to 1 by 2 multiplication under root capital g d to the power 4 by 8 d cube multiplication n multiplication g by pi d n multiplication g by d n multiplication r r or row multiplication pi d square by 4 so it will be equal to 1 by 2 multiplication root under g d square multiplication small g by 2 pi square d to the power 4 multiplication n square let it be equation number 3 so in the next expression i can write the equation as 8 multiplication 10 to the power 6 is equal to 73 .1 multiplication 10 to the power 9, multiplication d to the power 4 by 8 multiplication 6d cube, 6d whole cube, multiplication 10...
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