A close-coil helical spring is to have a stiffness of 1,000 N/m in compression, with amaximum load of 50 N and a maximum shearing stress of 125 N/mm². The solid lengthof the spring is 50 mm. Find the wire diameter, mean coil radius, and a number of coils.G= 54,000 N/mm². (Assume shear stress is produced only due to the torque producedin the wire due to axial loading).

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Answered: A close-coil helical spring is to have…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A helical compression spring is to be used for a maximum load of 1.5 kN using the spring index of 8. The maximum permissible shear stress for the spring wire is 400 MPa. Which of the following is the wire diameter of the spring to be used?
Suppose you have three springs with force constants of K₁ = K₂ = K3 = 3.30 × 10³ N/m. What is their effective force constant if one is hung from the other in series? You may assume the springs have negligible mass. N/m
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Problem 7. We have a line of two equal masses m connected by three springs with spring constants c₁ = 1, c₂ = 1, and c3 = S. Spring 1 is fixed at the top and spring 3 at the bottom, so xo = x3 = 0. (a) Find the stiffness matrix K in the equation Kx = f for the mass displacements. (b) Solve for the displacements x₁ and x2. (c) If the third spring constant S becomes very large or very small (S→∞ and S→ 0) what are the limiting values of the displacements x₁ and .x₂? (d) If the third spring constant S becomes very large or very small (S→∞ and S→ 0) what are the limiting values of the spring forces y1, y2, and y3? 91 www m 3-WW www C₁ X₁ "Xo = 0 C2₂ X2 C3 X3 = 0
The figure illustrates a torsion-bar spring OA having a diameter d = 12 mm. The actuating cantilever AB also has d = 12 mm. Both parts are of carbon steel. Use superposition and find the spring rate & corresponding to a force F acting at B. 0.1 m 15m
Two concentric plain helical springs of the same length are wound out of the same wire circular in cross section and supports a compressive load P. The inner spring consists of 20 turns of mean dimeter 160 mm and the outer spring has 18 turns of mean diameter 200 mm. Calculate the maximum stress induced in the spring if the diameter of wire is equal to 10 mm and Pis equal to 1000 N. (Take K,-1)
- In a compound helical spring, the inner spring is arranged within and concentric outer one but is 10 min shorter. The outer spring has 10 coils of mean diaineter 30 min and wire dia 3 mm. Find stiffness of inner spring if an axial load of 100 N causes outer one to compress by 20 mm. If the radial clearance between the springs is 2 mm, find wire diameter of inner spring which has 8 coild. G 80 kN/mm.
Can you please help me with question 2. Thank you.
An open-coiled helical spring consists of 12 coils, each of mean diameter 60 mm, wire diameter 6 mm and helix angle 25°. An axial load of 120 N is applied to the spring. Calculate (a) axial de- flection, (b) bending and shearing stresses, and (c) axial torque which shall produce a bending stress of 50 MPa in the coils. Take E = 200 MPa, and G = 84 GPa.
Consider a system of two springs, with stiffnesses k1 and k2, arranged in parallel as shown in the figure. The rigid bar to which the two springs are connected remains horizontal when the force F is zero. Determine the equivalent spring constant of the system (ke) that relates the force applied (F) to the resulting displacement (x) as F = kex Note: Because the spring constants of the two springs are different and the distances l1 and l2 are not the same, the rigid bar will not remain horizontal when the force F is applied.
A compression spring is made of music wire of 2 mm diameter having a shear strength and shear modulus of 800 MPa and 80 GPa respectively. The mean coil diameter is 20 mm, free length is 40 mm and the number of active coils is 10. If the mean coil diameter is reduced to 10 mm, the stiffness of the spring is approximately (a) Decreased by 8 times (c) Increased by 2 times (b) Decreased by 2 times (d) Increased by 8 times

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