Functions of springs To provide cushioning effect Reduce the effect of shock or impact load To measure forces in spring balance To store energy such as in clocks, toys To apply forces and to control the motions as in brakes and clutches. To control motions by maintaining contact between two elements as in cam and followers
Types of Spring 1. Helical springs . The helical springs are made up of a wire coiled in the form of a helix and is primarily intended for compressive or tensile loads. The cross-section of the wire from which the spring is made may be circular, square or rectangular. The two forms of helical springs are compression helical spring and tension helical spring.
Types of Helical spring Helix angle more than 10 degree Helix angle less than 10 degree Closed coil helical or Tension spring Open coil helical or Compression spring
Closed coil helical or Tension spring
Open coil helical or Compression spring
Spiral Spring
Leaf Spring
Disc or Belleville Spring
Conical Spring
Design of Helical Compression Spring
1)Free length 2)Pitch 3)Endurance limit 4)Slenderness ratio 5)Pitch 6)Active coils 7)Solid length 8)Pitch angle TERMINOLOGIES IN A COMPRESSION HELICAL SPRING 9) Hysterisis 10)Initial tension 11)Permanent set 12)Set 13)Spring rate 14)Spring index
Stresses in Helical Spring
Subjected to Axial Load
formulas Torque, T = F X R But , Torque =
Shear & Transverse Stresses
Transverse shear stress Resultant shear stress
Wahl’s Stress Concentration Factor C should not be less than 3 The value of C should be 5-12 For industrial spring C= 6 -10
Deflection of the spring C= D/d
Stiffness of the spring C= D/d
Strain Energy Stored in Spring (U) Also
Spring Under Impact Load Energy Absorbed in Spring
End Conditions of Spring = Active coil + inactive coils Poor Seating Space Better Seating Space than Plain Better than other types in Seating Space Its for high stress model spring application
Design Procedure of Helical Spring
The designers should find the following basic things Pitch Diameter of the coil , D Wire Diameter, d Number of turns , n Free Length , L f Solid Length, L s Spring Stiffness, q Type of Ends
Condition of Natural Frequency
Stiffness – Springs in Series
Stiffness – Springs in Parallel
Helical Spring Subjected to Variable Loading Formulas P 7.100 PSGDB
Helical Spring Subjected to Variable Loading Spring subjected to fluctuating stresses are designed on the basis of modified Soderberg equation
Design of Belleville Spring
S. NO Springs in parallel Springs in Series 1 They have high load capacity, this depends on number of discs The deflection is proportional to the number of discs
Formulas Axial Deflection
Constant
Maximum Stresses occurring at the edges
C1 & C2 - Constants
Constants finding graph In general the ratio of do / di should be 1.5 - 5
Belleville Spring Material Chrome Vanadium Alloy Steel Allowable stress 1500 N/mm 2 Young’s Modulus 2 x 10 5 N/mm 2 Poisson’s Ratio 0.3 Thickness of spring 1 – 2 mm Dia of disc at base 28 – 300 mm h / t 0.4 – 0.75 for stiffness
t / do 0.03 – 0.06 Cone Angle 4 – 7 degree Best value 6.5 Degree
INTRODUCTION
Formulas 7.131-PSGDB 7.131-PSGDB
LEAF SPRING
LEAF SPRING or FLAT SPRING The laminated or leaf spring (also known as flat spring or carriage spring) consists of a number of flat plates (known as leaves) of varying lengths held together by means of clamps and bolts
Arrangement of leaf Spring The design may be of cantilever type or simply supported type.
Limitations in Leaf spring They are stressed more at one specific location and the other parts are stressed lightly So some design considerations needed in this type. So they increase the width of the plate and keep the thickness as same
Material
Design Procedure
Check for Pin
Check for Pin
Length of Leaf Spring Leaves Radius of Leaf Spring Leaves
FLY WHEEL
INTRODUCTION Fly wheel is a heavy rotating member placed between power source and driving unit. It act as a reservoir – for storing energy (its an energy accumulator)
Functions of fly wheel It will absorb energy when the demand is less than supply of energy. It will release it when the demand is more than the supply of energy.
Two distinct Applications of Fly wheel
Types of fly wheels
Fly wheel effect and co-efficient of fluctuation of speed
Maximum Fluctuation of speed Co-Efficient of fluctuation of speed The difference between maximum speed and minimum speed during the cycle is called maximum fluctuation of speed.
Value of Co-efficient of Fluctuation of speed (Ks) 7.121-PSGDB
Mass of the fly wheel (m)
Co-efficient of fluctuation of energy ( K e ) The difference between maximum and minimum energy during the cycle is called fluctuation of energy
Values of Co-Efficient of Fluctuation of Energy ( Ke )
Stresses in Fly Wheel rim
Stresses in Fly Wheel Tensile Stress Due to Centrifugal Force
Cont.. Bending Stress Due to Straining Effect of Arms
Cont.. Resultant Stress In rim with the junctions of arms
Stresses in Rims Tensile Stress Due to Centrifugal Force
Cont.. Bending Stress Due to Torque
Cont.. Belt Stress Stress Due to Belt Tension
Design of flywheel shaft, Hub and Key Shaft Hub di = d