Initial Stock Thickness Given Pressure On Rolls Calculator

Formula Used:

\[ \text{Initial Stock Thickness} = \frac{\text{Mean Yield Shear Stress of Work Material} \times \text{Thickness at given Point} \times \exp(\text{Friction Coefficient in Rolling Analysis} \times (\text{Factor H at Entry Point on Workpiece} - \text{Factor H in Rolling Calculation}))}{\text{Pressure Acting on Rolls}} \] \[ h_t = \frac{S \times h_s \times \exp(\mu_f \times (H_i - H_r))}{P} \]

Mean Yield Shear Stress of Work Material (S):

Pascal

Thickness at given Point (hₛ):

Meter

Friction Coefficient in Rolling Analysis (μf):

Factor H at Entry Point on Workpiece (Hi):

Factor H in Rolling Calculation (Hr):

Pressure Acting on Rolls (P):

Pascal

Initial Stock Thickness (hₜ):

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1. What is Initial Stock Thickness Given Pressure On Rolls?

Initial Stock Thickness Given Pressure On Rolls is a calculation used in rolling processes to determine the original thickness of material before rolling based on the pressure applied by the rolls and various material properties.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_t = \frac{S \times h_s \times \exp(\mu_f \times (H_i - H_r))}{P} \]

Where:

\( h_t \) — Initial Stock Thickness (Meter)
\( S \) — Mean Yield Shear Stress of Work Material (Pascal)
\( h_s \) — Thickness at given Point (Meter)
\( \mu_f \) — Friction Coefficient in Rolling Analysis
\( H_i \) — Factor H at Entry Point on Workpiece
\( H_r \) — Factor H in Rolling Calculation
\( P \) — Pressure Acting on Rolls (Pascal)

Explanation: The formula calculates the initial thickness by considering material properties, friction coefficients, and pressure applied during the rolling process.

3. Importance of Initial Stock Thickness Calculation

Details: Accurate calculation of initial stock thickness is crucial for proper rolling process design, material utilization optimization, and achieving desired final product dimensions.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure Mean Yield Shear Stress, Thickness at Point, and Pressure on Rolls are positive values for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the exponential term in the formula?
A: The exponential term accounts for the effect of friction and the difference between entry and rolling factors on the material deformation during rolling.

Q2: How accurate is this calculation for different materials?
A: The accuracy depends on proper determination of material properties and friction coefficients, which may vary for different materials and rolling conditions.

Q3: What are typical values for friction coefficient in rolling?
A: Friction coefficients typically range from 0.05 to 0.3 depending on the material, lubrication, and rolling conditions.

Q4: Can this formula be used for all types of rolling processes?
A: This formula is primarily used for flat rolling processes and may need modifications for other types of rolling operations.

Q5: How does temperature affect the calculation?
A: Temperature affects material properties and friction coefficients, so these values should be determined at the appropriate working temperature for accurate results.