17-3.Torsion coil spring

17-3. Torsion coil spring Symbol description and unit
Spring moment: [kgf・mm]
M=F*r
M=

Spring helix angle: [Every time]
φ=64*M/(E*π*d4)*(π*D*n+(A1+A2)/3)*180/π
φ=

Bending stress: [kgf/mm2]
σ=32*M/(π*d3)
σ=

Spring length: [mm]
L=(n+1)*d
L=
F: Force to act [kgf]
r: radius [mm]
D: Average coil diameter [mm]
n: Effective number of turns
d:Material diameter [mm]
E:Young's modulus [Kgf/mm2]
A1: Arm length 1 [mm]
A2: Arm length 2 [mm]
●  Piano wire(SWPA、SWPB) Standard diameter (JIS G 3522)
0.08 0.09 0.10 0.12 0.14 0.16 0.18 0.20 0.23 0.26 0.29 0.32 0.35 0.40 0.45 0.50 0.55 0.60 0.70 0.80 0.90 1.00 1.20 1.40 1.60 1.80 2.00 2.30 2.60 2.90 3.00 3.20 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 8.00 9.00 10.0

●  how to use
1. Enter the required pressure (F) at the mounting angle position in the figure below in Kg units.
2. Enter the linear distance (r) from the center of the spring to the point of action.
3.Enter the center diameter that matches the thickness of the shaft to which the spring is attached.
 ( caution)In the case of a torsion coil spring, when the spring bends, only 1 / π of the bending length per winding,
   Since the inner diameter of the spring becomes smaller in the circumferential direction, the clearance between the mounting shaft and the inner diameter of the spring is that much.
  You will need it.
4.Temporarily select the wire diameter (d) from the required spring length L, determine the approximate number of turns (N), and enter each.
5. Determine the arm length (A1, A2) and enter each.
6. Refer to the calculation results of spring torsion angle (φ), bending stress (σ), and spring length (L), and within the allowable stress range.
   Is there? , Is the spring length (L) within the range? Etc. will be considered. If it is out of the range, re-enter the wire diameter and number of turns.て
  Determine to be acceptable.
7. Spring drawing、
   The free angle of the spring (the angle at which pressure F does not act) is the angle obtained by adding the helix angle (φ) to the mounting angle.
   Become. Draw a torsion coil spring at a free angle. 
Value of Young's modulus E(Kgf/mm2):

Hard steel wire(SW) 21000

Piano wire(SWP) 21000

Carbon steel oil temper wire for splash
(SWO) 21000

Stainless steel wire for springs
(SUS 304 WP) 19000