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Helical Spring Design

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Questions and Answers

What is the formula for the surge frequency in a helical spring under variable loads?

$f = \dfrac{1}{\pi}\sqrt{\dfrac{k}{m}}$

$f = \dfrac{1}{4\pi}\sqrt{\dfrac{k}{m}}$

$f = \pi\sqrt{\dfrac{k}{m}}$

$f = \dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}$ (correct)

What is the formula for the maximum deflection of a helical spring under static load?

$\delta_{max} = \dfrac{FD^3}{8Gd^4n}$

$\delta_{max} = \dfrac{8FD^3}{\pi Gd^4n}$

$\delta_{max} = \dfrac{8FD^3}{Gd^4n}$ (correct)

$\delta_{max} = \dfrac{FD^3}{8\pi Gd^4n}$

What is the formula for the shear stress in a helical spring subjected to a static load?

$\tau = \dfrac{8FD}{\pi d^2}$

$\tau = \dfrac{16FD}{\pi d^3}$

$\tau = \dfrac{8FD}{\pi d^3}$ (correct)

$\tau = \dfrac{16FD}{\pi d^2}$

Study Notes

Helical Spring Formulas

The formula for the surge frequency (fs) in a helical spring under variable loads is: fs = (1/2) * √(k/m), where k is the spring stiffness and m is the mass of the spring.
The formula for the maximum deflection (δmax) of a helical spring under static load is: δmax = (F_max * L) / (n * E * A), where F_max is the maximum applied force, L is the length of the spring, n is the number of coils, E is the modulus of elasticity, and A is the cross-sectional area of the spring wire.
The formula for the shear stress (τ) in a helical spring subjected to a static load is: τ = (8 * F_D) / (π * d^2), where F_D is the design force and d is the diameter of the spring wire.

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Description

Test your knowledge of helical spring design under static and variable loads with this quiz. Explore the formulas for shear stress, surge frequency, and maximum deflection in helical springs, and enhance your understanding of mechanical engineering principles.