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Questions and Answers
What is the formula for the surge frequency in a helical spring under variable loads?
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?
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?
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)
- $\tau = \dfrac{16FD}{\pi d^2}$
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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 (Ï„) in a helical spring subjected to a static load is: Ï„ = (8 * F_D) / (Ï€ * d^2), where F_D is the design force and d is the diameter of the spring wire.
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