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Flat spring cantilevered design triangular geometry 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 triangular geometry equations and calculator.

Flat spring cantilevered design triangular geometry equations and calculator


Deflection:

eq. 1
F = 6 P L3 / E b t3

eq. 2
F = Sb L2 / E t


Load:

eq. 3
P = Sb b t2 / 6 L

eq. 4
P = E b t3 F / 6 L3


Stress, Bending:

eq. 5
Sb = 6 P L / b t2

eq. 6
Sb = E t F / L2


Thickness, Spring:

eq. 7
t = Sb L2 / E F

eq.8

t = ( 6 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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