Angular Deflection of Spring Calculator

Spring Angular Deflection Formula:

\[ \theta_s = \frac{T_c}{K} \]

Spring Angular Deflection (θs):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Spring Angular Deflection?

Spring Angular Deflection is defined as how a spring responds when force is applied or released. It represents the angular displacement of a spring under the influence of a controlling torque.

2. How Does the Calculator Work?

The calculator uses the Spring Angular Deflection formula:

\[ \theta_s = \frac{T_c}{K} \]

Where:

\( \theta_s \) — Spring Angular Deflection (radians)
\( T_c \) — Controlling Torque (N·m)
\( K \) — Spring Constant (N·m/rad)

Explanation: The equation shows that the angular deflection of a spring is directly proportional to the applied torque and inversely proportional to the spring constant.

3. Importance of Spring Angular Deflection Calculation

Details: Calculating spring angular deflection is crucial for designing mechanical systems involving rotational springs, ensuring proper functionality, and predicting system behavior under various torque conditions.

4. Using the Calculator

Tips: Enter controlling torque in N·m and spring constant in N·m/rad. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of spring constant?
A: The spring constant represents the stiffness of a spring - how much torque is required to produce a unit angular deflection.

Q2: How does angular deflection relate to linear deflection?
A: Angular deflection measures rotational displacement, while linear deflection measures translational displacement. They are related through the geometry of the system.

Q3: Can this formula be used for all types of springs?
A: This formula specifically applies to torsion springs where the deflection is angular and the relationship between torque and deflection is linear.

Q4: What factors affect the spring constant?
A: The spring constant depends on the material properties, wire diameter, coil diameter, and number of active coils in the spring.

Q5: How does temperature affect spring deflection?
A: Temperature changes can affect the material properties of the spring, potentially altering the spring constant and thus the deflection for a given torque.