Two concentric plain helical springs of the same length are wound out of the samewire circular in cross section and supports a compressive load P. The inner springconsists of 20 turns of mean dimeter 160 mm and the outer spring has 18 turns ofmean diameter 200 mm. Calculate the maximum stress induced in the spring if thediameter of wire is equal to 10 mm and Pis equal to 1000 N. (Take K,-1)

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Answered: Two concentric plain helical springs of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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A leaf spring in an automobile is subjected to cyclic stresses. The average stress = 150 Mpa; variable stress = 500 MPa; yield point stress = 350 MPa and endurance limit = 150 MPa. Estimate, under what factor of safety the spring is working, by Goodman and Soberberg formulate
3 In a compound helical spring, the inner spring is arranged within and concentric with outer one but is 10 min shorter. The outer spring has 10 coils of mean dianmeter 30 min and wire dia 3 mm. Find stiffness of inner spring if an axial load of 100N 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.
A hollow circular shaft of inner radius 10mm, outer radius 20mm and length 1m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, Calculate the torsional stiffness of the shaft (in kN-m/rad).
The spring of the check valve seen in the figure is mounted with a pre-stress of 12 mm and the diameter of the Spring Wire is 2.7 mm, the number of winding is 13, the slip module is 80800 N/mm?, the average diameter of the winding circle is 23 mm. If these conditions are taken into account, check the spring strength by finding out how much pressure the check valve will open at. Publication safe shear stress value is 185 N/mm? and 1 bar = 0.1 N / mm? will be taken. Ø10
A helical spring is made of 10 m diameter steel wire wound on a 100 mm diameter mandrel. If there are 10 active coils what is spring constant Take: C= 100 GPA What force must be applied to the spring to elongate it by 50 mm?
Problem 5-4 An open-coiled helical spring of 5 cm mean dia- meter is made of steel of 6 mm diameter. Calculate the number of turns required in the spring to give a deflection of 12 mm for an axial load of 250 N if the angle of helix is 30°. Calculate also the rotation of one end of the spring relative to the other if it is subjected to an axial couple of 12-5 N.m. E = 210 GPa and G = 84 GPa. %3D %3D
Calculate the Force P applied according to the spring compression 0.02 m with the spring stiffness coefficient K=4 kN/m under the influence of the Force P applied to the cable in the figure?
1. A helical compression spring is made of hard-drawn spring steel wire with a wire diameter d = 0.080 in and an outer coil diameter OD = 0.880 in. The ends are plain and ground, and there are 8 total coils. Determine the force F, required to close the spring, the spring constant k, the free length of this spring corresponding to n, = 1.2, and the pitch p.
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 Castigliano’s theorem and find the spring rake k corresponding to a force F acting at B.
A petrol engine inlet valve is spring-loaded. The valve opens at 360 N closes at 220 N, while the corresponding lengths of springs when it is open is 41 mm and when it is closed is 49 mm. The maximum inside diameter of the spring is 25 mm. Assume the shear yield strength in steel as 400 MPa, shear ultimate strength is 643.2 MPa and shear modulus as 80 kN/mm². Assume the helical compression spring has squared and ground ends, minimum factor of safety, n = 1.5 and spring index, C = 5. Determine for shot-peened wires a) initial compression b) coil diameter d using Zimmerli data, Goodman theory and Langer theory. Select standard size of Washburn & Moen wire c) helical diameter D d) number of actual turns, Na and total turns, Nt e) free length

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