Thickness Of Stock At Given Point On Exit Side Calculator

Formula Used:

\[ h_x = \frac{P_{rolls} \times h_{ft}}{S_y \times e^{\mu_r \times H}} \]

Pressure on Roller (P_rolls):

Final Thickness (h_ft):

Mean Yield Shear Stress at Exit (S_y):

Friction Coefficient (μ_r):

Factor H at given Point on Workpiece (H):

Thickness at the given Point (h_x):

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1. What is the Thickness at Given Point Formula?

The formula calculates the thickness of stock at any given point between entry and neutral point during the rolling process. It considers pressure on roller, final thickness, mean yield shear stress, friction coefficient, and factor H.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_x = \frac{P_{rolls} \times h_{ft}}{S_y \times e^{\mu_r \times H}} \]

Where:

\( h_x \) — Thickness at the given point (m)
\( P_{rolls} \) — Pressure on Roller (Pa)
\( h_{ft} \) — Final Thickness (m)
\( S_y \) — Mean Yield Shear Stress at Exit (Pa)
\( \mu_r \) — Friction Coefficient
\( H \) — Factor H at given Point on Workpiece

Explanation: The formula accounts for the exponential relationship between friction factor and thickness variation during the rolling process.

3. Importance of Thickness Calculation

Details: Accurate thickness calculation is crucial for quality control in rolling processes, ensuring consistent product dimensions and mechanical properties throughout the material.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Pressure, final thickness, and yield shear stress must be positive values. Friction coefficient should be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is Factor H in rolling calculations?
A: Factor H is used to account for the interaction between the material, the rollers, and the deformation process during rolling operations.

Q2: Why is exponential function used in this formula?
A: The exponential function models the non-linear relationship between friction and thickness reduction during the rolling process.

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

Q4: How does yield shear stress affect thickness calculation?
A: Higher yield shear stress requires more pressure to achieve the same deformation, resulting in different thickness profiles.

Q5: Can this formula be used for all rolling applications?
A: This formula is specifically designed for rolling processes and may need adjustments for different materials or specialized rolling conditions.