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Tapered Flat spring cantilevered Design equations and calculator

Beam Stress Deflection Equations and Calculators
Spring Design Equations and Calculators

Flat spring design equations and calculator: The equations are based on standard beam formulas where the deflection is small.

Flat spring cantilevered design tapered geometry equations and calculator.

 


Deflection:

eq. 1Flat spring cantilevered design tapered geometry equations and calculator
F = 5.22 P L3 / E b t3

eq. 2
F = 0.87 Sb L2 / E t


Load:

eq. 3
P = Sb b t2 / 6 L

eq. 4
P = E b t3 F / ( 5.22 L3 )


Stress, Bending:

eq. 5
Sb = 6 P L / b t2

eq. 6
Sb = E t F / 0.87 L2


Thickness, Spring:

eq. 7
t = 0.87 Sb L2 / E F

eq.8

t = ( 5.22 P L3 / ( E b F ) )(1/3)


Where:

P = Load, (lbs),
L = Active length subject to deflection (inches),
b = Widest width of spring (in),
E = Modulus of Elasticity in Tension, (lbs/in2),
t = Thickness, (in),
Sb = Stress, bending (lbs/in2),
F - Deflection, for on active section (in)

Reference:

Machinery Handbook, 27th edition

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