Relative plate thickness factor Calculator

✖Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.ⓘ Thickness of Filler Metal [t]			+10% -10%
✖Temperature for Cooling Rate is calculated is the temperature at which the cooling rate is calculated.ⓘ Temperature for Cooling Rate [T_c]			+10% -10%
✖Ambient Temperature is the temperature of the surrounding.ⓘ Ambient Temperature [t_a]			+10% -10%
✖Density of Metal is the mass per unit volume of the given metal.ⓘ Density of Metal [ρ_m]			+10% -10%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [Q_c]			+10% -10%
✖Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.ⓘ Net Heat Supplied Per Unit Length [H_net]			+10% -10%

✖Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate.ⓘ Relative plate thickness factor [τ]

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Formula

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Relative plate thickness factor

Formula

`"τ" = "t"*sqrt((("T"_{"c"}-"t"_{"a"})*"ρ"_{"m"}*"Q"_{"c"})/"H"_{"net"})`

Example

`"0.616582"="5mm"*sqrt((("500°C"-"37°C")*"7850kg/m³"*"4.184kJ/kg*K")/"1000J/mm")`

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Relative plate thickness factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Plate Thickness Factor = Thickness of Filler Metal*sqrt(((Temperature for Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied Per Unit Length)
τ = t*sqrt(((T_c-t_a)*ρ_m*Q_c)/H_net)
This formula uses 1 Functions, 7 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 Plate Thickness Factor - Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate.
Thickness of Filler Metal - (Measured in Meter) - Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.
Temperature for Cooling Rate - (Measured in Celsius) - Temperature for Cooling Rate is calculated is the temperature at which the cooling rate is calculated.
Ambient Temperature - (Measured in Celsius) - Ambient Temperature is the temperature of the surrounding.
Density of Metal - (Measured in Kilogram per Cubic Meter) - Density of Metal is the mass per unit volume of the given metal.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Net Heat Supplied Per Unit Length - (Measured in Joule per Meter) - Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.

STEP 1: Convert Input(s) to Base Unit

Thickness of Filler Metal: 5 Millimeter --> 0.005 Meter (Check conversion here)
Temperature for Cooling Rate: 500 Celsius --> 500 Celsius No Conversion Required
Ambient Temperature: 37 Celsius --> 37 Celsius No Conversion Required
Density of Metal: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Net Heat Supplied Per Unit Length: 1000 Joule per Millimeter --> 1000000 Joule per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = t*sqrt(((T_c-t_a)*ρ_m*Q_c)/H_net) --> 0.005*sqrt(((500-37)*7850*4184)/1000000)

Evaluating ... ...

τ = 0.616582460016501

STEP 3: Convert Result to Output's Unit

0.616582460016501 --> No Conversion Required

FINAL ANSWER

0.616582460016501 ≈ 0.616582 <-- Relative Plate Thickness Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Welding » Heat Flow in Welded Joints » Relative plate thickness factor

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 13 Heat Flow in Welded Joints Calculators

Peak Temperature Reached at any Point in Material

Go Peak Temperature Reached at Some Distance = Ambient Temperature+(Net Heat Supplied Per Unit Length*(Melting Temperature of Base Metal-Ambient Temperature))/((Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Metal*Thickness of Filler Metal*Specific Heat Capacity*Distance From The Fusion Boundary+Net Heat Supplied Per Unit Length)

Position of peak temperature from fusion boundary

Go Distance From The Fusion Boundary = ((Melting Temperature of Base Metal-Temperature Reached at Some Distance)*Net Heat Supplied Per Unit Length)/((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal)

Net heat supplied to weld area to raise it to given temperature from fusion boundary

Go Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance From The Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance)

Net heat supplied to achieve given cooling rates for thin plates

Go Net Heat Supplied Per Unit Length = Thickness of Filler Metal/sqrt(Cooling Rate of Thin Plate/(2*pi*Thermal Conductivity*Density of Electrode*Specific Heat Capacity*((Temperature for Cooling Rate-Ambient Temperature)^3)))

Thickness of base metal for desired cooling rate

Go Thickness = Net Heat Supplied Per Unit Length*sqrt(Cooling Rate of Thick Plate/(2*pi*Thermal Conductivity*Density of Electrode*Specific Heat Capacity*((Temperature for Cooling Rate-Ambient Temperature)^3)))

Thermal conductivity of base metal using given cooling rate (thin plates)

Go Thermal Conductivity = Cooling Rate of Thin Plate/(2*pi*Density of Electrode*Specific Heat Capacity*((Thickness of Filler Metal/Net Heat Supplied Per Unit Length)^2)*((Temperature for Cooling Rate-Ambient Temperature)^3))

Cooling rate for relatively thin plates

Go Cooling Rate of Thin Plate = 2*pi*Thermal Conductivity*Density of Electrode*Specific Heat Capacity*((Thickness of Filler Metal/Net Heat Supplied Per Unit Length)^2)*((Temperature for Cooling Rate-Ambient Temperature)^3)

Thickness of Base Metal using Relative Thickness Factor

Go Thickness of The Base Metal = Relative Plate Thickness Factor*sqrt(Net Heat Supplied Per Unit Length/((Temperature for Cooling Rate-Ambient Temperature)*Density of Electrode*Specific Heat Capacity))

Relative plate thickness factor

Go Relative Plate Thickness Factor = Thickness of Filler Metal*sqrt(((Temperature for Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied Per Unit Length)

Net Heat supplied using Relative Thickness Factor

Go Net Heat Supplied = ((Thickness of Filler Metal/Relative Plate Thickness Factor)^2)*Density of Electrode*Specific Heat Capacity*(Temperature for Cooling Rate-Ambient Temperature)

Thermal conductivity of base metal using given cooling rate (thick plates)

Go Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2))

Net heat supplied to achieve given cooling rates for thick plates

Go Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate

Cooling Rate for Relatively Thick Plates

Go Cooling Rate of Thick Plate = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied Per Unit Length

Relative plate thickness factor Formula

Why peak temperature reached in Heat Affected Zone is important to calculate ?

The peak temperature reached at any point in the material is another important parameter that needs to be calculated. This would help in identifying what type of metallurgical transformations are likely to takes place in the heat affected zone (HAZ).

How to Calculate Relative plate thickness factor?

Relative plate thickness factor calculator uses Relative Plate Thickness Factor = Thickness of Filler Metal*sqrt(((Temperature for Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied Per Unit Length) to calculate the Relative Plate Thickness Factor, Relative plate thickness factor is a parameter used in structural engineering, particularly in the analysis of thin-walled structures like pressure vessels or cylindrical shells. Relative Plate Thickness Factor is denoted by τ symbol.

How to calculate Relative plate thickness factor using this online calculator? To use this online calculator for Relative plate thickness factor, enter Thickness of Filler Metal (t), Temperature for Cooling Rate (T_c), Ambient Temperature (t_a), Density of Metal (ρ_m), Specific Heat Capacity (Q_c) & Net Heat Supplied Per Unit Length (H_net) and hit the calculate button. Here is how the Relative plate thickness factor calculation can be explained with given input values -> 0.616582 = 0.005*sqrt(((773.15-310.15)*7850*4184)/1000000).

FAQ

What is Relative plate thickness factor?

Relative plate thickness factor is a parameter used in structural engineering, particularly in the analysis of thin-walled structures like pressure vessels or cylindrical shells and is represented as τ = t*sqrt(((T_c-t_a)*ρ_m*Q_c)/H_net) or Relative Plate Thickness Factor = Thickness of Filler Metal*sqrt(((Temperature for Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied Per Unit Length). Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set, Temperature for Cooling Rate is calculated is the temperature at which the cooling rate is calculated, Ambient Temperature is the temperature of the surrounding, Density of Metal is the mass per unit volume of the given metal, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.

How to calculate Relative plate thickness factor?

Relative plate thickness factor is a parameter used in structural engineering, particularly in the analysis of thin-walled structures like pressure vessels or cylindrical shells is calculated using Relative Plate Thickness Factor = Thickness of Filler Metal*sqrt(((Temperature for Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied Per Unit Length). To calculate Relative plate thickness factor, you need Thickness of Filler Metal (t), Temperature for Cooling Rate (T_c), Ambient Temperature (t_a), Density of Metal (ρ_m), Specific Heat Capacity (Q_c) & Net Heat Supplied Per Unit Length (H_net). With our tool, you need to enter the respective value for Thickness of Filler Metal, Temperature for Cooling Rate, Ambient Temperature, Density of Metal, Specific Heat Capacity & Net Heat Supplied Per Unit Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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