Relative Weight for Designing Fabricated Plate Girders 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%

✖Relative Weight can be described as the weight on second steel upon the first steel.ⓘ Relative Weight for Designing Fabricated Plate Girders [W2_/W1]

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Formula

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Relative Weight for Designing Fabricated Plate Girders

Formula

`"W2"_{"/W1"} = sqrt("F"_{"y1"}/"F"_{"y2"})`

Example

`"0.91214"=sqrt("104N/m²"/"125N/m²")`

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Relative Weight for Designing Fabricated Plate Girders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Weight = sqrt(Yield Stress 1/Yield Stress 2)
W2_/W1 = sqrt(F_y1/F_y2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Relative Weight - Relative Weight can be described as the weight on second steel upon the first steel.
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

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

W2_/W1 = sqrt(F_y1/F_y2) --> sqrt(104/125)

Evaluating ... ...

W2_/W1 = 0.91214034007931

STEP 3: Convert Result to Output's Unit

0.91214034007931 --> No Conversion Required

FINAL ANSWER

0.91214034007931 ≈ 0.91214 <-- Relative Weight

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Birsa Institute of Technology (BIT), Sindri

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< 22 Economical Structural Steel Calculators

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 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)

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)

Yield Stress Fy2 given Relative Cost

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

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 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)

Yield Stress of Steel1 using Relative Material Cost Ratio

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

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)

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 Weight for Designing Fabricated Plate Girders Formula

Relative Weight = sqrt(Yield Stress 1/Yield Stress 2)
W2_/W1 = sqrt(F_y1/F_y2)

What is meant by Relative Weight?

The Relative Weight for Designing Fabricated Plate Girders formula can be defined as a numeric value that reflects the relative resource consumption. and it is represented as W₂/W₁ .

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 Weight for Designing Fabricated Plate Girders?

Relative Weight for Designing Fabricated Plate Girders calculator uses Relative Weight = sqrt(Yield Stress 1/Yield Stress 2) to calculate the Relative Weight, The Relative Weight for Designing Fabricated Plate Girders formula is defined as a numeric value that reflects the relative resource consumption and it is represented as W2/W1. Relative Weight is denoted by W2_/W1 symbol.

How to calculate Relative Weight for Designing Fabricated Plate Girders using this online calculator? To use this online calculator for Relative Weight for Designing Fabricated Plate Girders, enter Yield Stress 1 (F_y1) & Yield Stress 2 (F_y2) and hit the calculate button. Here is how the Relative Weight for Designing Fabricated Plate Girders calculation can be explained with given input values -> 0.91214 = sqrt(104/125).

FAQ

What is Relative Weight for Designing Fabricated Plate Girders?

The Relative Weight for Designing Fabricated Plate Girders formula is defined as a numeric value that reflects the relative resource consumption and it is represented as W2/W1 and is represented as W2_/W1 = sqrt(F_y1/F_y2) or Relative Weight = sqrt(Yield Stress 1/Yield Stress 2). 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 Weight for Designing Fabricated Plate Girders?

The Relative Weight for Designing Fabricated Plate Girders formula is defined as a numeric value that reflects the relative resource consumption and it is represented as W2/W1 is calculated using Relative Weight = sqrt(Yield Stress 1/Yield Stress 2). To calculate Relative Weight for Designing Fabricated Plate Girders, you need Yield Stress 1 (F_y1) & Yield Stress 2 (F_y2). With our tool, you need to enter the respective value for 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 Weight?

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

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

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