The spring index is given as
The Bergstrasser factor is
The maximum shear stress is given by
The minimum shear stress is
Mean shear stress is
Shear stress amplitude is
From Table 10-4 of Shigley, for music wire
A=201 ksi.inm, m=0.145
Hence the tensile strength is
The shear strength is
For 107 cycles (equivalent to infinite life) the endurance strength assuming unpeened wire(from table 10-28 of Shigley)
The load line slope is given by
Using Goodman criterion the ordinate intercept is
The amplitude component of strength (Ssa ) for Goodman criterion is
Hence existing fatigue factor of safety is
The existing static yield factor of safety is
1. An existing helical-coil compression spring is wound from unpeened music wire with a diameter of...
1) [60 pts] Helical Compression Spring A helical compression spring is wound using music wire of diameter, d, 2.64 mm. The spring has an outside diameter, OD, of 33 mm with plain ground ends and 14 coils. a) Estimate the spring rate. The spring rate is N/mm. b) What is the force needed to compress this spring to closure assuming that the spring will reach its shear strength at its solid length? The force needed to compress this spring to...
A compression spring is needed to fit within a 1-in diameter hole. To allow for some clearance, the outside diameter of the spring is to be no larger than 0.9 in. To ensure a reasonable coil, use a spring index of 8. The spring is to be used in a machine by compressing it from a free length of 2 in to a solid length of 0.6667 in. The spring should have squared ends, and should be unpeened, and is...
Problem: A helical compression spring is made with music wire with wire diameter of 5 mm, mean coil diameter of 51 mm, a total of 12 coils, a free length of 127 mm, with squared ends. (a) Find the solid length. (b) Find the force necessary to deflect the spring to its solid length.
Please answer if you are sure, thank you 1. A helical compression spring has the following characteristics Wire diameter Outside diameter Fmi 15.5 mm 15 N 100 N 115 N 25 mm maz End Treatment squared and ground Modulus of Rigidity80e9 N/m2 Note: Δ is the difference in deflection under the loads Fmin and Frnaz. Be sure to sketch the spring in its various states to assist in answering the following questions. (a) Find the spring constant, k. Be sure...
2. A helical compression spring is made from No. 8 steel wire and is to carry a 100 lb static load at a deflection of 1 inch. The outside coil diameter of the spring is 0.972 inches. The spring ends are squared. Assume the torsional yield strength of the wire is 80000 psi, and the shear modulus is 11.4 Mpsi, determine (a) The static load corresponding to the yield strength. (b) The deflection that would be caused by the load...
1- A helical compression spring is to be made of oil-tempered wire of 4-mm diameter with a spring index of C = 10. The spring is to operate inside a hole, so buckling is not a problem and the ends can be left plain. The free length of the spring should be 80 mm. A force of 50 N should deflect the spring 15 mm. (a) Determine the spring rate. (b) Determine the minimum hole diameter for the spring to...
1- A helical compression spring is to be made of oil-tempered wire of 4-mm diameter with a spring index of C = 10. The spring is to operate inside a hole, so buckling is not a problem and the ends can be left plain. The free length of the spring should be 80 mm. A force of 50 N should deflect the spring 15 mm. (a) Determine the spring rate. (b) Determine the minimum hole diameter for the spring to...
1- A helical compression spring is to be made of oil-tempered wire of 4-mm diameter with a spring index of C = 10. The spring is to operate inside a hole, so buckling is not a problem and the ends can be left plain. The free length of the spring should be 80 mm. A force of 50 N should deflect the spring 15 mm. (a) Determine the spring rate. (b) Determine the minimum hole diameter for the spring to...
An automatic production machine requires a compression coil spring to keep a follower in contact with a cam that rotates at a speeds up to 1800 rpm. When installed, the spring force i to vary between 150 and 600 N while the spring height varies over a range of 10 mm. An available supply of 4.5 mm diameter shot peened wire to be used. Clash allowance (difference in spring length between maximum load and spring solid positions) is to be...
2, A helical compression spring is to be designed to carry a variable load. The load varies from a minimum of F,=4 lbf to a maximum of F, = /8 lbf. The corresponding spring length varies from a maximum of L, 2.5 in to a minimum of L, =1 in. The outside diameter of the spring is Do = 0.638 in; the material is hard-drawn wiree of diameter d = 0.080 in. The free length of the spring is L...