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  COMPRESSION SPRING  
 
 
1) Overview
Compression spring is the most commonly used spring. It is easy to design, relatively simple and
cheap to manufacture, and has higher efficiency.  It has various shapes such as cylindrical,
hourglass, barrel etc depending on the application.
 
 
2) Application
Components for automobile, electrical, electronic, stationery, toy, industry, and information-
communication
 
 
3) Features
Compression coil spring is typically cylindrical and manufactured by hot or cold coiling, and the
material for compressing the load applied to the spring. Spring ends have different shape
according to the types of load and the coil diameter depends on the size.
 
4) Symbols and formula used for compression spring design
1) Spring symbols
 
d
wire diameter
a1
arm length (mm)
Da
mean coil diameter
a2 arm length (mm)
Na
 number of active coils
E
 
Nt
 total number of coils
G  
K
 spring constant (kg / mm)
C spring index (Da/d)
P
 Load (kg)
G SWP
 8,200
d
 deflection (operation angle) (mm)
SUS
 7,500
Pi
 initial tension
phosphor bronze
450
Kt
 arm spring constant (kg.mm/degree)
E SWP  21,000
M
 moment (kg.mm)
SUS  19,000
q
 torsion angle
phosphor bronze  11,000
K1
 stress correction coefficient
 ρ   SWP  7.85
Ke
 arm spring stress correction coefficient
SUS  7.9

 torsion stress(kg/㎟)
brass
 8.6
σ
bending stress (kg/㎟) German silver
 9.0

tensile strength(kg/㎟) phosphor bronze
 8.1
ℓ   length of spring with force applied (mm)
inconel
 8.25
 
2) Spring formula
a) Weight :
 
b) Spring constant:  
- Compression Spring
- Extension Spring
- Torsion Spring
 
3) Spring formula
- Compression Spring  P= K x d
- Torsion Spring
   P= Kt x θ  *2   M ÷ arm lever length =P
- Extension Spring
   P= K x δ + P
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