Width Of Strip Given Angle Of Rotation Of Arbor With Respect To Drum Calculator

Formula Used:

\[ b = \frac{12 \times M \times l}{E \times \theta \times t^3} \]

Bending Moment In Spiral Spring (M):

N·m

Length Of Spiral Spring Strip (l):

Modulus Of Elasticity Of Spiral Spring (E):

Angle Of Rotation Of Arbor (θ):

rad

Thickness Of Strip Of Spring (t):

Width Of Strip Of Spiral Spring (b):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is The Width Of Strip Given Angle Of Rotation Of Arbor With Respect To Drum Formula?

The formula calculates the width of a spiral spring strip based on bending moment, length, modulus of elasticity, angle of rotation, and thickness. It's essential for designing spiral springs with specific rotational characteristics.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ b = \frac{12 \times M \times l}{E \times \theta \times t^3} \]

Where:

\( b \) — Width of Strip of Spiral Spring (m)
\( M \) — Bending Moment in Spiral Spring (N·m)
\( l \) — Length of Spiral Spring Strip (m)
\( E \) — Modulus of Elasticity of Spiral Spring (Pa)
\( \theta \) — Angle of Rotation of Arbor (rad)
\( t \) — Thickness of Strip of Spring (m)

Explanation: This formula relates the geometric and material properties of a spiral spring to determine the required strip width for a given angle of rotation.

3. Importance Of Width Calculation

Details: Accurate width calculation is crucial for designing spiral springs that provide the desired rotational characteristics and torque requirements in various mechanical applications.

4. Using The Calculator

Tips: Enter all values in appropriate units. Ensure all inputs are positive values. The calculator will compute the width of the spiral spring strip based on the provided parameters.

5. Frequently Asked Questions (FAQ)

Q1: What is a spiral spring used for?
A: Spiral springs are used in various applications including clocks, toys, and mechanical devices where rotational energy storage and release is required.

Q2: Why is the modulus of elasticity important in this calculation?
A: The modulus of elasticity determines how much the material will deform under stress, which directly affects the spring's performance and the required strip width.

Q3: How does thickness affect the width calculation?
A: Thickness has a cubic relationship in the denominator, meaning small changes in thickness significantly affect the required width for a given angle of rotation.

Q4: What units should be used for input values?
A: Use consistent SI units: meters for length dimensions, Newton-meters for bending moment, Pascals for modulus, and radians for angle.

Q5: Can this formula be used for any spiral spring material?
A: Yes, as long as the material's modulus of elasticity is known and the material behaves elastically within the calculated stresses.