Load On Screw Given Collar Friction Torque According To Uniform Wear Theory Calculator

Formula Used:

\[ W = \frac{4 \times T_c}{\mu_{collar} \times (D_o + D_i)} \]

Collar Friction Torque for Power Screw (Tc):

N·m

Coefficient of Friction for Collar (μcollar):

(unitless)

Outer Diameter of Collar (Do):

Inner Diameter of Collar (Di):

Load on Screw (W):

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1. What is Load on Screw?

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads. It represents the axial force that the screw mechanism needs to support or move.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = \frac{4 \times T_c}{\mu_{collar} \times (D_o + D_i)} \]

Where:

\( W \) — Load on screw (N)
\( T_c \) — Collar Friction Torque for Power Screw (N·m)
\( \mu_{collar} \) — Coefficient of Friction for Collar (unitless)
\( D_o \) — Outer Diameter of Collar (m)
\( D_i \) — Inner Diameter of Collar (m)

Explanation: This formula calculates the axial load on a screw based on collar friction torque and collar dimensions, following the uniform wear theory assumption.

3. Importance of Load Calculation

Details: Accurate load calculation is crucial for proper screw design, ensuring mechanical strength, preventing failure, and optimizing performance in power transmission applications.

4. Using the Calculator

Tips: Enter collar friction torque in N·m, coefficient of friction (unitless), and both outer and inner diameters in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is collar friction torque?
A: Collar friction torque is the additional torque required to overcome friction between the collar and the load in a power screw mechanism.

Q2: Why use uniform wear theory?
A: Uniform wear theory provides a more conservative and realistic approach for calculating contact pressures in mechanical components subject to wear.

Q3: What are typical coefficient of friction values?
A: Coefficient of friction values typically range from 0.1 to 0.4 for metal-on-metal contacts, depending on materials and lubrication.

Q4: When is this formula applicable?
A: This formula is specifically applicable to power screw mechanisms where collar friction is significant and uniform wear conditions are assumed.

Q5: How does collar diameter affect load capacity?
A: Larger collar diameters generally increase load capacity as they provide more surface area for force distribution and torque transmission.