Cost Of Each Tool Given Production Cost Per Component Calculator

Formula Used:

\[ C_t = \frac{C_p - M \times (NPT + \frac{K}{V})}{\frac{K}{L_{ref} \times V_{ref}^{1/n}} \times V^{\frac{1-n}{n}}} - (t_c \times M) \]

Production Cost of Each Component (Cp):

Machining And Operating Rate (M):

$/s

Non-Productive Time (NPT):

Constant For Machining Condition (K):

Cutting Velocity (V):

m/s

Reference Tool Life (Lref):

Reference Cutting Velocity (Vref):

m/s

Taylors Tool Life Exponent (n):

Time to Change One Tool (tc):

Cost of A Tool (Ct):

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1. What is the Cost of Each Tool Formula?

The Cost of Each Tool formula calculates the cost of one tool being used for machining based on production costs, machining rates, and various machining parameters. It helps in determining the tool cost component in overall production economics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_t = \frac{C_p - M \times (NPT + \frac{K}{V})}{\frac{K}{L_{ref} \times V_{ref}^{1/n}} \times V^{\frac{1-n}{n}}} - (t_c \times M) \]

Where:

$ C_t $ — Cost of A Tool ($)
$ C_p $ — Production Cost of Each Component ($)
$ M $ — Machining And Operating Rate ($/s)
$ NPT $ — Non-Productive Time (s)
$ K $ — Constant For Machining Condition (m)
$ V $ — Cutting Velocity (m/s)
$ L_{ref} $ — Reference Tool Life (s)
$ V_{ref} $ — Reference Cutting Velocity (m/s)
$ n $ — Taylors Tool Life Exponent
$ t_c $ — Time to Change One Tool (s)

Explanation: The formula accounts for various machining parameters and costs to determine the individual tool cost in production.

3. Importance of Tool Cost Calculation

Details: Accurate tool cost calculation is crucial for production cost analysis, budgeting, and optimizing machining processes for economic efficiency.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Taylor's Tool Life Exponent?
A: Taylor's exponent (n) quantifies the rate of tool wear and is crucial for predicting tool life under different cutting conditions.

Q2: How does cutting velocity affect tool cost?
A: Higher cutting velocities generally reduce machining time but may increase tool wear, affecting the overall tool cost calculation.

Q3: What constitutes non-productive time?
A: Non-productive time includes machine setup, workpiece loading/unloading, tool changes, and other activities not directly involved in cutting.

Q4: How accurate is this cost estimation?
A: The formula provides a theoretical estimation based on input parameters. Actual costs may vary based on specific machining conditions and tool performance.

Q5: Can this formula be used for different machining operations?
A: While primarily designed for turning operations, the formula can be adapted for other machining processes with appropriate parameter adjustments.