Relative Cost given Yield Stress Calculator

✖Material Cost p2 is the material price per unit weight. It is the cost of materials used to manufacture a product or provide a service.ⓘ Material Cost p2 [P₂]			+10% -10%
✖Material Cost p1 is the material price per unit weight. It is the cost of materials used to manufacture a product or provide a service.ⓘ Material Cost p1 [P₁]			+10% -10%
✖Yield Stress 1 is a crucial material property that marks the transition from elastic behavior to plastic behavior.ⓘ Yield Stress 1 [F_y1]			+10% -10%
✖Yield Stress 2 is a crucial material property that marks the transition from elastic behavior to plastic behavior.ⓘ Yield Stress 2 [F_y2]			+10% -10%

✖Relative Cost is the cost of a good or service in relation to the prices of other goods and services.ⓘ Relative Cost given Yield Stress [C2_/C1]

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Formula

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Relative Cost given Yield Stress

Formula

`"C2"_{"/C1"} = ("P"_{"2"}/"P"_{"1"})*("F"_{"y1"}/"F"_{"y2"})^(2/3)`

Example

`"0.850581"=("25"/"26")*("104N/m²"/"125N/m²")^(2/3)`

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Relative Cost given Yield Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(2/3)
C2_/C1 = (P₂/P₁)*(F_y1/F_y2)^(2/3)
This formula uses 5 Variables

Variables Used

Relative Cost - Relative Cost is the cost of a good or service in relation to the prices of other goods and services.
Material Cost p2 - Material Cost p2 is the material price per unit weight. It is the cost of materials used to manufacture a product or provide a service.
Material Cost p1 - Material Cost p1 is the material price per unit weight. It is the cost of materials used to manufacture a product or provide a service.
Yield Stress 1 - (Measured in Pascal) - Yield Stress 1 is a crucial material property that marks the transition from elastic behavior to plastic behavior.
Yield Stress 2 - (Measured in Pascal) - Yield Stress 2 is a crucial material property that marks the transition from elastic behavior to plastic behavior.

STEP 1: Convert Input(s) to Base Unit

Material Cost p2: 25 --> No Conversion Required
Material Cost p1: 26 --> No Conversion Required
Yield Stress 1: 104 Newton per Square Meter --> 104 Pascal (Check conversion here)
Yield Stress 2: 125 Newton per Square Meter --> 125 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C2_/C1 = (P₂/P₁)*(F_y1/F_y2)^(2/3) --> (25/26)*(104/125)^(2/3)

Evaluating ... ...

C2_/C1 = 0.85058074056598

STEP 3: Convert Result to Output's Unit

0.85058074056598 --> No Conversion Required

FINAL ANSWER

0.85058074056598 ≈ 0.850581 <-- Relative Cost

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 22 Economical Structural Steel Calculators

Cross-Sectional Area1 given Material Cost Ratio

Go Cross-Sectional Area of Material 1 = (Cross-Sectional Area of Material 2*Material Cost p2)/(Relative Cost*Material Cost p1)

Material Price p1 given Material Cost Ratio

Go Material Cost p1 = (Cross-Sectional Area of Material 2*Material Cost p2)/(Relative Cost*Cross-Sectional Area of Material 1)

Material Cost Ratio

Go Relative Cost = (Cross-Sectional Area of Material 2/Cross-Sectional Area of Material 1)*(Material Cost p2/Material Cost p1)

Cross-Sectional Area2 given Material Cost Ratio

Go Cross-Sectional Area of Material 2 = (Relative Cost*Cross-Sectional Area of Material 1*Material Cost p1)/Material Cost p2

Material Price p2 given Material Cost Ratio

Go Material Cost p2 = (Relative Cost*Material Cost p1*Cross-Sectional Area of Material 1)/Cross-Sectional Area of Material 2

Relative Cost for Designing Fabricated Plate Girders

Go Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(1/2)

Relative Cost given Yield Stress

Go Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(2/3)

Yield Stress Fy1 given Relative Cost

Go Yield Stress 1 = (Relative Cost*Material Cost p1/Material Cost p2)^(3/2)*Yield Stress 2

Yield Stress Fy2 given Relative Cost

Go Yield Stress 2 = Yield Stress 1/(Material Cost p1/Material Cost p2*Relative Cost)^(3/2)

Yield Stress Fy1 given Relative Cost for Designing Fabricated Plate Girders

Go Yield Stress 1 = (Relative Cost*Material Cost p1/Material Cost p2)^2*(Yield Stress 2)

Yield Stress Fy2 given Relative Cost for Designing Fabricated Plate Girders

Go Yield Stress 2 = Yield Stress 1/(Relative Cost*Material Cost p1/Material Cost p2)^2

Yield Stress of Steel2 using Relative Material Cost Ratio

Go Yield Stress 2 = (Yield Stress 1*Material Cost p2)/(Relative Cost*Material Cost p1)

Material Price p1 using Relative Material Cost Ratio

Go Material Cost p1 = ((Yield Stress 1/Yield Stress 2)*Material Cost p2)/Relative Cost

Material Price p2 using Relative Material Cost Ratio

Go Material Cost p2 = (Relative Cost*Material Cost p1)/(Yield Stress 1/Yield Stress 2)

Relative Material Cost Ratio

Go Relative Cost = (Yield Stress 1/Yield Stress 2)*(Material Cost p2/Material Cost p1)

Yield Stress of Steel1 using Relative Material Cost Ratio

Go Yield Stress 1 = (Relative Cost*Yield Stress 2*Material Cost p1)/Material Cost p2

Relative Weight for Designing Fabricated Plate Girders

Go Relative Weight = sqrt(Yield Stress 1/Yield Stress 2)

Yield Stress Fy1 given Relative Weight

Go Yield Stress 1 = (Relative Weight)^(3/2)*(Yield Stress 2)

Yield Stress Fy2 given Relative Weight

Go Yield Stress 2 = Yield Stress 1/(Relative Weight)^(3/2)

Relative Weight given Yield Stresses

Go Relative Weight = (Yield Stress 1/Yield Stress 2)^(2/3)

Yield Stress Fy1 given Relative Weight for Designing Fabricated Plate Girders

Go Yield Stress 1 = (Relative Weight)^2*Yield Stress 2

Yield Stress Fy2 given Relative Weight for Designing Fabricated Plate Girders

Go Yield Stress 2 = Yield Stress 1/(Relative Weight^2)

Relative Cost given Yield Stress Formula

Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(2/3)
C2_/C1 = (P₂/P₁)*(F_y1/F_y2)^(2/3)

What is mean by Relative Cost?

The relative cost can be defined as the price of a commodity such as a good or service in the ratio of two prices.

What is Yield Stress?

Yield Stress is the minimum stress at which a solid will undergo permanent deformation or plastic flow without a significant increase in the load or external force.

How to Calculate Relative Cost given Yield Stress?

Relative Cost given Yield Stress calculator uses Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(2/3) to calculate the Relative Cost, The Relative Cost given Yield Stress formula is defined as the price of a commodity such as a good or service in the ratio of two prices. Relative Cost is denoted by C2_/C1 symbol.

How to calculate Relative Cost given Yield Stress using this online calculator? To use this online calculator for Relative Cost given Yield Stress, enter Material Cost p2 (P₂), Material Cost p1 (P₁), Yield Stress 1 (F_y1) & Yield Stress 2 (F_y2) and hit the calculate button. Here is how the Relative Cost given Yield Stress calculation can be explained with given input values -> 0.850581 = (25/26)*(104/125)^(2/3).

FAQ

What is Relative Cost given Yield Stress?

The Relative Cost given Yield Stress formula is defined as the price of a commodity such as a good or service in the ratio of two prices and is represented as C2_/C1 = (P₂/P₁)*(F_y1/F_y2)^(2/3) or Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(2/3). Material Cost p2 is the material price per unit weight. It is the cost of materials used to manufacture a product or provide a service, Material Cost p1 is the material price per unit weight. It is the cost of materials used to manufacture a product or provide a service, Yield Stress 1 is a crucial material property that marks the transition from elastic behavior to plastic behavior & Yield Stress 2 is a crucial material property that marks the transition from elastic behavior to plastic behavior.

How to calculate Relative Cost given Yield Stress?

The Relative Cost given Yield Stress formula is defined as the price of a commodity such as a good or service in the ratio of two prices is calculated using Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(2/3). To calculate Relative Cost given Yield Stress, you need Material Cost p2 (P₂), Material Cost p1 (P₁), Yield Stress 1 (F_y1) & Yield Stress 2 (F_y2). With our tool, you need to enter the respective value for Material Cost p2, Material Cost p1, Yield Stress 1 & Yield Stress 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Relative Cost?

In this formula, Relative Cost uses Material Cost p2, Material Cost p1, Yield Stress 1 & Yield Stress 2. We can use 3 other way(s) to calculate the same, which is/are as follows -

Relative Cost = (Cross-Sectional Area of Material 2/Cross-Sectional Area of Material 1)*(Material Cost p2/Material Cost p1)
Relative Cost = (Yield Stress 1/Yield Stress 2)*(Material Cost p2/Material Cost p1)
Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(1/2)

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