Load on Screw given Helix Angle Calculator

Formula Used:

\[ W = P_{lo} \times \frac{1 + \mu \times \sec(0.2618) \times \tan(\alpha)}{\mu \times \sec(0.2618) - \tan(\alpha)} \]

Load on Screw (W):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Load on Screw given Helix Angle?

The Load on Screw given Helix Angle calculates the weight (force) of the body that is acted upon the screw threads based on the effort required to lower the load, coefficient of friction, and the helix angle of the screw.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = P_{lo} \times \frac{1 + \mu \times \sec(0.2618) \times \tan(\alpha)}{\mu \times \sec(0.2618) - \tan(\alpha)} \]

Where:

\( W \) — Load on screw (N)
\( P_{lo} \) — Effort in lowering load (N)
\( \mu \) — Coefficient of friction at screw thread
\( \alpha \) — Helix angle of screw (rad)
\( \sec(0.2618) \) — Secant of 0.2618 radians
\( \tan(\alpha) \) — Tangent of helix angle

Explanation: The formula accounts for the mechanical advantage and frictional forces in screw mechanisms, relating the effort required to lower a load to the actual load on the screw.

3. Importance of Load Calculation

Details: Accurate load calculation is crucial for designing screw mechanisms, determining appropriate screw sizes, ensuring structural integrity, and calculating safety factors in mechanical systems.

4. Using the Calculator

Tips: Enter effort in lowering load in Newtons, coefficient of friction (dimensionless), and helix angle in radians. All values must be valid (effort > 0, coefficient ≥ 0, angle ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the constant 0.2618?
A: 0.2618 radians is approximately 15 degrees, which is a common reference angle in screw thread calculations.

Q2: How does coefficient of friction affect the load?
A: Higher friction coefficients generally require more effort to lower a given load, or result in lower load capacity for a given effort.

Q3: What is a typical range for helix angles in screws?
A: Helix angles typically range from 2° to 20° (0.035 to 0.35 radians), depending on the screw type and application.

Q4: When might this calculation be undefined?
A: The calculation becomes undefined when the denominator approaches zero, which occurs when μ × sec(0.2618) = tan(α).

Q5: Can this formula be used for both raising and lowering loads?
A: This specific formula is designed for lowering loads. Different formulas apply for raising loads due to the direction of frictional forces.