Yield Stress Fy2 Given Relative Cost Calculator

Formula Used:

\[ Fy2 = \frac{Fy1}{(P1/P2 \times C2/C1)^{3/2}} \]

Yield Stress 1 (Fy1):

Pascal

Material Cost p1 (P1):

per unit weight

Material Cost p2 (P2):

per unit weight

Relative Cost (C2/C1):

ratio

Yield Stress 2 (Fy2):

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1. What is Yield Stress Fy2 Given Relative Cost?

Yield Stress Fy2 Given Relative Cost is a material property calculation that determines the yield stress of a material based on cost relationships. It marks the transition from elastic behavior to plastic behavior under specific cost constraints.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Fy2 = \frac{Fy1}{(P1/P2 \times C2/C1)^{3/2}} \]

Where:

\( Fy2 \) — Yield Stress 2 (Pascal)
\( Fy1 \) — Yield Stress 1 (Pascal)
\( P1 \) — Material Cost p1 (per unit weight)
\( P2 \) — Material Cost p2 (per unit weight)
\( C2/C1 \) — Relative Cost (ratio)

Explanation: The formula calculates the yield stress of a material based on cost relationships and material properties, with a power relationship of 3/2.

3. Importance of Yield Stress Calculation

Details: Accurate yield stress calculation is crucial for material selection, cost optimization, and structural design where material properties need to be balanced against economic constraints.

4. Using the Calculator

Tips: Enter all values as positive numbers. Yield Stress values should be in Pascal, material costs per unit weight, and relative cost as a ratio. All values must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is yield stress?
A: Yield stress is the stress at which a material begins to deform plastically. Beyond this point, permanent deformation occurs.

Q2: Why is relative cost important in material selection?
A: Relative cost helps determine the economic feasibility of using different materials while maintaining required mechanical properties.

Q3: What units should be used for input values?
A: Yield stress should be in Pascal, material costs per unit weight, and relative cost as a dimensionless ratio.

Q4: Can this formula be used for all materials?
A: This formula is specifically designed for materials where the cost-yield stress relationship follows the given power law.

Q5: What does the 3/2 exponent represent?
A: The 3/2 exponent represents the specific power relationship between cost factors and yield stress in this particular model.