Force Applied On Spring Given Deflection In Spring Calculator

Spring Force Formula:

\[ P = \frac{\delta \cdot G \cdot d^4}{8 \cdot D^3 \cdot N_a} \]

Deflection of Spring (δ):

Modulus of Rigidity (G):

Diameter of Spring Wire (d):

Mean Coil Diameter (D):

Active Coils (Nₐ):

Axial Spring Force (P):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Spring Force Formula?

The spring force formula calculates the axial force applied to a spring based on its deflection and physical properties. This formula is essential for designing and analyzing spring systems in mechanical engineering applications.

2. How Does the Calculator Work?

The calculator uses the spring force formula:

\[ P = \frac{\delta \cdot G \cdot d^4}{8 \cdot D^3 \cdot N_a} \]

Where:

\( P \) — Axial spring force (N)
\( \delta \) — Deflection of spring (m)
\( G \) — Modulus of rigidity of spring wire (Pa)
\( d \) — Diameter of spring wire (m)
\( D \) — Mean coil diameter of spring (m)
\( N_a \) — Active coils in spring

Explanation: The formula relates the force applied to a spring with its deflection, material properties, and geometric characteristics.

3. Importance of Spring Force Calculation

Details: Accurate spring force calculation is crucial for designing mechanical systems, ensuring proper spring selection, and predicting spring behavior under various loading conditions.

4. Using the Calculator

Tips: Enter all values in the specified units. Deflection, modulus of rigidity, wire diameter, and mean coil diameter must be positive values. Active coils must be a positive number.

5. Frequently Asked Questions (FAQ)

Q1: What is modulus of rigidity?
A: Modulus of rigidity (G) is a material property that measures the stiffness of a material when subjected to shear stress.

Q2: How does wire diameter affect spring force?
A: Spring force is proportional to the fourth power of wire diameter (d⁴), making it the most influential parameter in the formula.

Q3: What are active coils in a spring?
A: Active coils are those that contribute to the spring's deflection under load, excluding the end coils that may be ground flat or shaped differently.

Q4: Can this formula be used for all types of springs?
A: This formula is specifically for helical compression and extension springs with circular wire cross-sections.

Q5: What are typical units for these calculations?
A: SI units are recommended (meters for length, Pascals for modulus, Newtons for force), but consistent units must be used throughout the calculation.