Question .03Helical springs are made up of wire coiled in the form of helix and is primarily intended for compressiveor tensile loads.Consider a helical compression spring made of circular wire and subjected to an axial load W,as shown in Figure Q3LetD = Mean diameter of the spring coil,d = Diameter of the spring wire,n = Number of active coils,G = Modulus of rigidity for the spring material,W = Axial load on the spring,T = Maximum shear stress induced in the wire,C = Spring index = Dld,p = Pitch of the coils, and8 = Deflection of the spring, as a result of an axial load W.(a) Axially loaded helical spring.Figure Q3 Axially loaded helical springSpring index,C =dW = Axial load, and8/n = Deflection per active turn.Let *** Consider neglecting the effect of curvature (Direct shear stress due to the load W)*** Design of helical compression spring.i)Mean diameter of the spring coilShear stress factor, Ks,D= C.dKg = 1+20Outer diameter of the spring coil, 0.15Maximum shear stress induced in the wire (t)Do = D+d8 W.DNumber of turns of the coil, n’,n' =n+2= Ksii)Deflection of the spring,8 W.D.n8 =G.d*Free length of the spring,= n'd + 8 + 0.158iii)Deflection per active turn,iv)Pitch of the coil,8 W.DG.d“Free lengthn' -1*** Considering the effect of curvature (Stress due to curvature of wire)Wahl's stress factor,(a) A helical spring is made from a wire of 8 mm diameter and has outside diameter of 804С - 10.615тт.K =+4С - 4If the permissible shear stress is 400 MPa and modulus of rigidity 80 kN/mm?, findthe axial load which the spring can carry and the deflection per active turn.Maximum shear stress induced in the wire (t)8W.C= KXn d?i) Neglecting the effect of curvature, andii) Considering the effect of curvature.Deflection of the spring,8 W.D.n8 =G.d*Deflection per active turn,8 W.DG.d(b) Design a helical compression spring for a maximum load of 1000 N for a deflection of30 mm using the value of spring index as 7.The maximum permissible shear stress for spring wire is 400 MPa and modulus ofrigidity is 80 kN/mm?.4С -10.615Take Wahl's factor,K =where C = Spring index.4С - 4

helical spring is to be designed according to the given parameters and conditions. The whole…

(a) A helical spring is made from a wire of 8 mm diameter and has outside diameter of 80 mm. If the permissible shear stress is 400 MPa and modulus of rigidity 80 kN/mm?, find the axial load which the spring can carry and the deflection per active turn. ) Neglecting the effect of curvature, and ii) Considering the effect of curvature. (b) Design a helical compression spring for a macimum load of 1000 N for a deflection of 30 mm using the value of spring index as 7. The maximum permissible shear stress for spring wire is 400 MPa and modulus of rigidity is 80 kN/mm². 4C -1. 0.615 Take Wahl's factor, where C = Spring tndex. 4C – 4

(a) A helical spring is made from a wire of 8 mm diameter and has outside diameter of 80 mm. If the permissible shear stress is 400 MPa and modulus of rigidity 80 kN/mm?, find the axial load which the spring can carry and the deflection per active turn. ) Neglecting the effect of curvature, and ii) Considering the effect of curvature. (b) Design a helical compression spring for a macimum load of 1000 N for a deflection of 30 mm using the value of spring index as 7. The maximum permissible shear stress for spring wire is 400 MPa and modulus of rigidity is 80 kN/mm². 4C -1. 0.615 Take Wahl's factor, where C = Spring tndex. 4C – 4

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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