Material Price p2 given Material Cost Ratio Calculator

Material Price Formula:

\[ P2 = \frac{C2}{C1} \times \frac{P1 \times A1}{A2} \]

Relative Cost (C2/C1):

Material Cost p1:

Cross-Sectional Area of Material 1:

m²

Cross-Sectional Area of Material 2:

m²

Material Cost p2:

1. What is Material Price p2 given Material Cost Ratio?

Definition: This calculator determines the price of Material 2 (p2) based on the relative cost ratio between two materials and their cross-sectional areas.

Purpose: It helps engineers and cost estimators compare material costs when designing structures with different materials.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P2 = \frac{C2}{C1} \times \frac{P1 \times A1}{A2} \]

Where:

$ P2 $ — Material Cost p2 (price per unit weight)
$ C2/C1 $ — Relative cost ratio between materials
$ P1 $ — Material Cost p1 (price per unit weight)
$ A1 $ — Cross-sectional area of Material 1 (m²)
$ A2 $ — Cross-sectional area of Material 2 (m²)

Explanation: The formula adjusts the base material cost (p1) by the relative cost ratio and the ratio of cross-sectional areas.

3. Importance of Material Cost Comparison

Details: Accurate material cost estimation ensures cost-effective design decisions while meeting structural requirements.

4. Using the Calculator

Tips: Enter the relative cost ratio (default 0.9011), material cost p1 (default $26), and both cross-sectional areas (default 0.6 m² and 0.72 m²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does the relative cost ratio represent?
A: It represents the cost difference between Material 2 and Material 1 per unit weight (C2/C1).

Q2: How do I determine the cross-sectional areas?
A: Calculate based on design specifications or measure existing components.

Q3: Can this be used for any materials?
A: Yes, as long as you have the relative cost ratio and cross-sectional areas.

Q4: Why is the result shown with 6 decimal places?
A: For precision in engineering calculations where small differences can be significant.

Q5: How accurate is this calculation?
A: It provides a theoretical estimate; actual costs may vary based on market conditions and other factors.