Problem 3. A helical spring is in contact with a 600 mm long steel leaf spring as shown in the figure below. The leaf spring has 1 full length leaf and 4 graduated leaves which are 100 mm wide and 10 mm thick. The helical spring and leaf spring are made of the same material: the shear modulus is 84x10 N/mm, young's modulus is 210x10 N/mm2, Su = 1090 N/mm2, and the permissible shear stress is 0.5xSat. (a) What force "F" is gradually applied to the top of the coil spring will cause the leaf spring to deflect by 50mm? What is the induced stress on the leaf spring? (b) For the deflection of 50 mm and the same induced stress from (a), determine the wire diameter and the number of active coils for the helical spring. Assume that the spring index 600mm of the helical spring is 6 and use Bergstrasser factor. Hint: set the stress value from (a) is equal to r in this question. (a) Write down the obtained force and stress. (b) Write down the wire diameter and number of active coils.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A helical spring is in contact with a 600 mm long
steel leaf spring as shown in the figure below. The leaf spring has 1 full
Problem 3.
length leaf and 4 graduated leaves which are 100 mm wide and 10 mm
thick. The helical spring and leaf spring are made of the same material: the
shear modulus is 84x10' N/mm, young's modulus is 210x10' N/mm2, Sut
1090 N/mm2, and the permissible shear stress is 0.5xSut.
(a) What force "F is gradually applicd to the top of the coil spring will
cause the leaf spring to deflect by 50mm? What is the induced stress on the
leaf spring?
(b) For the deflection of 50 mm and the same induced stress from (a), determine the wire
%3D
600mm
diameter and the number of active coils for the helical spring. Assume that the spring index
of the helical spring is 6 and use Bergstrasser factor. Hint: set the stress value from (a) is
equal to r in this question.
(a) Write down the obtained force and stress.
(b) Write down the wire diameter and number of active coils.
Transcribed Image Text:A helical spring is in contact with a 600 mm long steel leaf spring as shown in the figure below. The leaf spring has 1 full Problem 3. length leaf and 4 graduated leaves which are 100 mm wide and 10 mm thick. The helical spring and leaf spring are made of the same material: the shear modulus is 84x10' N/mm, young's modulus is 210x10' N/mm2, Sut 1090 N/mm2, and the permissible shear stress is 0.5xSut. (a) What force "F is gradually applicd to the top of the coil spring will cause the leaf spring to deflect by 50mm? What is the induced stress on the leaf spring? (b) For the deflection of 50 mm and the same induced stress from (a), determine the wire %3D 600mm diameter and the number of active coils for the helical spring. Assume that the spring index of the helical spring is 6 and use Bergstrasser factor. Hint: set the stress value from (a) is equal to r in this question. (a) Write down the obtained force and stress. (b) Write down the wire diameter and number of active coils.
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