Relative Cost for Designing Fabricated Plate Girders Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(1/2)
C2/C1 = (P2/P1)*(Fy1/Fy2)^(1/2)
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)*(Fy1/Fy2)^(1/2) --> (25/26)*(104/125)^(1/2)
Evaluating ... ...
C2/C1 = 0.877058019307029
STEP 3: Convert Result to Output's Unit
0.877058019307029 --> No Conversion Required
FINAL ANSWER
0.877058019307029 0.877058 <-- Relative Cost
(Calculation completed in 00.006 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Economical Structural Steel Calculators

Cross-Sectional Area1 given Material Cost Ratio
​ LaTeX ​ 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
​ LaTeX ​ Go Material Cost p1 = (Cross-Sectional Area of Material 2*Material Cost p2)/(Relative Cost*Cross-Sectional Area of Material 1)
Material Cost Ratio
​ LaTeX ​ 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
​ LaTeX ​ Go Cross-Sectional Area of Material 2 = (Relative Cost*Cross-Sectional Area of Material 1*Material Cost p1)/Material Cost p2

Relative Cost for Designing Fabricated Plate Girders Formula

​LaTeX ​Go
Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(1/2)
C2/C1 = (P2/P1)*(Fy1/Fy2)^(1/2)

What is meant by Relative Cost?

The relative cost can be defined as 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 for Designing Fabricated Plate Girders?

Relative Cost for Designing Fabricated Plate Girders calculator uses Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(1/2) to calculate the Relative Cost, The Relative Cost for Designing Fabricated Plate Girders formula is defined as 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 for Designing Fabricated Plate Girders using this online calculator? To use this online calculator for Relative Cost for Designing Fabricated Plate Girders, enter Material Cost p2 (P2), Material Cost p1 (P1), Yield Stress 1 (Fy1) & Yield Stress 2 (Fy2) and hit the calculate button. Here is how the Relative Cost for Designing Fabricated Plate Girders calculation can be explained with given input values -> 0.877058 = (25/26)*(104/125)^(1/2).

FAQ

What is Relative Cost for Designing Fabricated Plate Girders?
The Relative Cost for Designing Fabricated Plate Girders formula is defined as price of a commodity such as a good or service in the ratio of two prices and is represented as C2/C1 = (P2/P1)*(Fy1/Fy2)^(1/2) or Relative Cost = (Material Cost p2/Material Cost p1)*(Yield Stress 1/Yield Stress 2)^(1/2). 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 for Designing Fabricated Plate Girders?
The Relative Cost for Designing Fabricated Plate Girders formula is defined as 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)^(1/2). To calculate Relative Cost for Designing Fabricated Plate Girders, you need Material Cost p2 (P2), Material Cost p1 (P1), Yield Stress 1 (Fy1) & Yield Stress 2 (Fy2). 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)^(2/3)
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