This document discusses the design of helical springs against static loading. It defines what a helical spring is and its functions of storing and releasing energy and absorbing shock. The key design considerations for helical springs are described such as required space, forces, tolerances, costs and environment. Formulas are provided for calculating stresses in the spring from torsional and direct shear forces. Common spring materials and effects of end treatment are also summarized. Buckling is discussed and the formula provided. Parameters calculated by the design module are outlined such as spring dimensions, load rating and stresses. Spring testing machines are also briefly mentioned.
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Design of helical spring against static loading
1. DESIGN OF HELICAL SPRING AGAINST
STATIC LOADING
BIRLA VISHVAKARMA MAHAVIDHYALYA
MECHANICAL ENGINEERING
V.V.NAGAR
Batch D-6
Created by:-
130070119052-Parikh Manir
130070119053-Parmar Dinesh
130070119054 -Patel Akash
130070119057 -Patel Harsh
Guided By:-
Prof. R.G. Jivani
2. Helical spring is a spiral wound wire with a constant coil diameter and
uniform pitch.
WHAT IS HELICAL SPRING?
FUNCTION OF HELICAL SPRING
Used to store energy and subsequently release it
To absorb shock
To maintain a force between contacting surfaces
3. DESIGN CONSIDERATION OF HELICAL SPRING
• The design of new helical involves the following
consideration.
– Space into which the spring must fit and operate
– Values of working forces and deflections
– Accuracy and reliability needed.
– Tolerances and permissible variations in specifications.
– Environmental conditions such as temperature, pressure of
corrosive atmosphere.
– Cost and qualities needed
4. C = Spring Index D/d
d = wire diameter (m)
D = Spring diameter (m)
Di = Spring inside diameter (m)
E = Young's Modulus (N/m2)
F = Axial Force (N)
G = Modulus of Rigidity (N/m2)
L 0 = Free Length (m)
L s = Solid Length (m)
n t = Total number of coils
n = Number of active coils
p = pitch (m)
τ = shear stress (N/m2)
τ max = Max shear stress (N/m2)
θ = Deflection (radians)
K W = Wahl Factor = [(4C-1)/(4C+5)}]+ (0,615/C)
NOMENCLATURE OF HELICAL SPRING
6. STRESSES IN HELICAL SPRING
• A round wire helical compression is subjected to axial force.
• The effect of axial force is equivalent to:
1. Torsional T=FD/2, acting on the wire cross section
2. Direct shear force F acting on wire cross section
• So stresses induced in spring wire are,
1. Torsional shear stress
2. Direct shear stress
7. 1. Torsional Shear Stress:
- The torsional shear stress induced in a spring wire,due to torsional
moment T=FD/2 is given by,
2. Direct Shear Stress:
- The direct shear stress induced in a springwire,due to direct shear
force F is given by,
33
816
d
FD
d
T
t
22
4
4
d
F
d
F
d
8. 3. Resultant Shear Stress:
- Hence, the maximum resultant shear stress in the spring
wire is given by,
dt
23
48
d
F
d
FD
D
d
d
FD
2
1
8
3
Cd
FD 5.0
1
8
3
2
8
d
FC
Ks
10. 1. Outer Diameter (Do)
2. Spring Index (C)
3. Slenderness ratio
4. Spring Deflection
5. Maximum load
7. Maximum shear stress
6. Corrected maximum stress
8. Wahl correction factor
THE MODULE CALCULATES THE FOLLOWING DESIGN
PARAMETERS:
dDD 0
dDDi
DL /
Gd
nFC3
8
maxmax kP
max
'
max wK
2
8
d
FcKs
11. For steel springs
BUCKLING
If free length of helical compression spring is
too large as compared to the mean coil dia.,
the spring act as flexible column and it may
buckle under the action of axial force.
In order to avoid buckling, the spring must
satisfy following condition
2
1
2
2
EG
GE
D
L
63.2
D
L