Material Price p1 using Relative Material Cost Ratio Calculator

✖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%
✖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%
✖Relative Cost is the cost of a good or service in relation to the prices of other goods and services.ⓘ Relative Cost [C2_/C1]			+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 Price p1 using Relative Material Cost Ratio [P₁]

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Formula

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Material Price p1 using Relative Material Cost Ratio

Formula

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

Example

`"23.0829"=(("104N/m²"/"125N/m²")*"25")/"0.9011"`

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Material Price p1 using Relative Material Cost Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Relative Cost - Relative Cost is the cost of a good or service in relation to the prices of other goods and services.

STEP 1: Convert Input(s) to Base Unit

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)
Material Cost p2: 25 --> No Conversion Required
Relative Cost: 0.9011 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₁ = ((F_y1/F_y2)*P₂)/C2_/C1 --> ((104/125)*25)/0.9011

Evaluating ... ...

P₁ = 23.0828986793919

STEP 3: Convert Result to Output's Unit

23.0828986793919 --> No Conversion Required

FINAL ANSWER

23.0828986793919 ≈ 23.0829 <-- Material Cost p1

(Calculation completed in 00.004 seconds)

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Gautam Buddha University (GBU), Greater Noida

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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)

Material Price p1 using Relative Material Cost Ratio Formula

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

What is Relative Material Cost Ratio?

If the members are designed to carry the same load at a stress that is a fixed percentage of the yield point, the cross-sectional areas are inversely proportional to the yield stresses. then, their relative material cost ratio is expressed.

How to Calculate Material Price p1 using Relative Material Cost Ratio?

Material Price p1 using Relative Material Cost Ratio calculator uses Material Cost p1 = ((Yield Stress 1/Yield Stress 2)*Material Cost p2)/Relative Cost to calculate the Material Cost p1, The Material Price p1 using Relative Material Cost Ratio formula is defined as the cost of material when members are designed to carry the same load at a stress that is a fixed percentage of the yield point, then cross-sectional areas are inversely proportional to the yield stresses. Material Cost p1 is denoted by P₁ symbol.

How to calculate Material Price p1 using Relative Material Cost Ratio using this online calculator? To use this online calculator for Material Price p1 using Relative Material Cost Ratio, enter Yield Stress 1 (F_y1), Yield Stress 2 (F_y2), Material Cost p2 (P₂) & Relative Cost (C2_/C1) and hit the calculate button. Here is how the Material Price p1 using Relative Material Cost Ratio calculation can be explained with given input values -> 18.02426 = ((104/125)*25)/0.9011.

FAQ

What is Material Price p1 using Relative Material Cost Ratio?

The Material Price p1 using Relative Material Cost Ratio formula is defined as the cost of material when members are designed to carry the same load at a stress that is a fixed percentage of the yield point, then cross-sectional areas are inversely proportional to the yield stresses and is represented as P₁ = ((F_y1/F_y2)*P₂)/C2_/C1 or Material Cost p1 = ((Yield Stress 1/Yield Stress 2)*Material Cost p2)/Relative Cost. 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, 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 & Relative Cost is the cost of a good or service in relation to the prices of other goods and services.

How to calculate Material Price p1 using Relative Material Cost Ratio?

The Material Price p1 using Relative Material Cost Ratio formula is defined as the cost of material when members are designed to carry the same load at a stress that is a fixed percentage of the yield point, then cross-sectional areas are inversely proportional to the yield stresses is calculated using Material Cost p1 = ((Yield Stress 1/Yield Stress 2)*Material Cost p2)/Relative Cost. To calculate Material Price p1 using Relative Material Cost Ratio, you need Yield Stress 1 (F_y1), Yield Stress 2 (F_y2), Material Cost p2 (P₂) & Relative Cost (C2_/C1). With our tool, you need to enter the respective value for Yield Stress 1, Yield Stress 2, Material Cost p2 & Relative Cost 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 Material Cost p1?

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

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

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