Question

Find the stress in central spring and plate displacement

Two concentric springs, the central spring being 5 mm shorter than the outer spring, are to be loaded as shown. The outer spring consists of 40 turns of 15 mm diameter wire coiled on a mean diameter of 100 mm. The central spring, on the other hand, has 80 turns of 20 mm diameter wire coiled on a mean diameter of 80 mm. Use 83 GPa and 76 GPa for the shear modulus of the outer and the central springs, respectively. 


If the load P = 2 kN, determine the stress in the central spring and the displacement of the plate.


image.png


Solve for: 

  1. Stress in central spring

  2. Plate displacement

1 0
Add a comment Improve this question Transcribed image text
Answer #1

Up to 5mm, the outer ring will only deflect. After that, the two stiffness will combine.

image.png  


answered by: Mccannes
Add a comment
Know the answer?
Add Answer to:
Find the stress in central spring and plate displacement
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Central spring gap

    A rigid plate of negligible mass rests on a spring system consisting of five vertical springs, four identical outer springs in a square formation and another spring at their center. The central spring is 5 mm shorter than the outer springs.Each of the outer springs consists of 25 turns of 20 mm wire on a mean diameter of 40 mm. The central spring has 30 turns of 15-mm wire on a mean diameter of 35 mm.A load P = 40...

  • Compute for maximum load P for concentric springs

    A load P is supported by two concentric steel springs as shown. Spring 1 consists of 30 turns of 15 mm diameter wire on a mean diameter of 80 mm. Spring 2 has 25 turns of 20 mm diameter wire on a mean diameter of 40 mm. Compute the maximum load that will not exceed a shearing stress of 140 MPa in either spring. Use G = 76 GPa.Compute for the maximum load P in kN. 

  • Problem 3. A plate is resting on four identical helical compression springs at its four corners....

    Problem 3. A plate is resting on four identical helical compression springs at its four corners. The plate is loaded centrally so that each of these springs undergoes same amount of deflection. For safety, a much harder spring is placed at the center of the plate. The free lengths of the softer springs are 20 mm more than the harder one. Corner Springs Center Spring Mean Diameter, D 40 mm 25 mm Wire Diameter, d 5 mm 5 mm Active...

  • Two concentric springs have a solid length of 50 mm. When they are subjected to an...

    Two concentric springs have a solid length of 50 mm. When they are subjected to an axial load of N the maximum deflection is found to be 40 mm The springs are made of the same material and wire diameter for both are same. The maximum issible shear stress is 160 MPa. Determine the load shared by each spring and the wire diameter it the inner spring diameter is 120 mm and the radial arance is 2.5 mm. Rigidity modulus...

  • 1. A closely coiled helical spring made of 15 mm diameter steel wire has 15 coils...

    1. A closely coiled helical spring made of 15 mm diameter steel wire has 15 coils of 110 mm mean diameter. The spring is subjected to an axial load of 180 N. Calculate the maximum shear stress induced in the spring. Assume modulus of rigidity is 78 GPa. 2. A solid circular bar ABC consists of two segments, as shown in the figure. One segment has diameter d1= 65 mm and length L1 = 1.54 m; the other segment has...

  • A close-coiled helical spring has a mean coil diameter 120 mm. A load of 4 kN...

    A close-coiled helical spring has a mean coil diameter 120 mm. A load of 4 kN causes a deflection of 50 mm and a maximum stress of 500 MPa. Calculate 4.1. a) The wire diameter b) The number of coils c) The energy absorbed when subjected to the maximum load d) The spring stiffness 4.2. By use of a clearly labelled neat sketch, show that the deflection in a close-coiled 12] where Wis ; where W is the axial load...

  • A vertical spring loaded valve is required for a compressed at a pressure of 1 N/mm2...

    A vertical spring loaded valve is required for a compressed at a pressure of 1 N/mm2 gauge and must be fully open with a lift of 4 mm at a pressure of 1.2 N/mm gauge. The diameter of the port is 25 mm. Assume the allowable shear stress in steel as 480 MPa and shear modulus as 80 kN/mm2 Design a suitable close coiled round section helical spring having squared ground ends. Also specify initial compression and free length of...

  • A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...

    A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...

  • 15. The free end of a torsional spring deflects through 90° when subjected to a torque...

    15. The free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index is 6. Determine the coil wire diameter and number of turns with the following data: Modulus of rigidity 80 GPa ; Modulus of elasticity 200 GPa; Allowable stress = 500 MPa. 15. The free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index is 6. Determine the coil...

  • A semi-elliptical spring has ten leaves in al, with the two full length leaves extending 625...

    A semi-elliptical spring has ten leaves in al, with the two full length leaves extending 625 mm It is 62.5 mm wide and 6.25 mm thick. Design a helical spring with mean diameter of coil 100 mm which will have approximately the same induced stress and deflection for any load. The Young's modulus for the material of the semi-elliptical spring may be taken as 200 kN/mm2 and modulus of rigidity for the material of helical spring is 80 kN/mm2 17...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT