Thickness of Base Metal using Relative Thickness Factor Calculator

✖Relative plate thickness factor is the factor which helps deciding the relative thickness of plate. If t ≤ 0.75, then thin plate equation is valid, if t ≥ 0.75 thick plate equation is valid.ⓘ Relative Plate Thickness Factor [τ]			+10% -10%
✖Net heat supplied per unit length can also be converted to newton since energy is newton multiplied meter.ⓘ Net Heat Supplied per Unit Length [H_Net]			+10% -10%
✖Temperature to calculate cooling rate is calculated is the temperature at which the cooling rate is calculated.ⓘ Temperature to Calculate Cooling Rate [T_c]			+10% -10%
✖Ambient Temperature is the temperature of the surrounding.ⓘ Ambient Temperature [t_a]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given volume. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+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%

✖Thickness of the base metal is the thickness of the base metal and is denoted by h symbol.ⓘ Thickness of Base Metal using Relative Thickness Factor [h]

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Formula

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Thickness of Base Metal using Relative Thickness Factor

Formula

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

Example

`"15.79158mm"=".694"*sqrt("1000J/mm"/(("500°C"-"37°C")*"997kg/m³"*"4.184kJ/kg*K"))`

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Thickness of Base Metal using Relative Thickness Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of the Base Metal = Relative Plate Thickness Factor*sqrt(Net Heat Supplied per Unit Length/((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density*Specific Heat Capacity))
h = τ*sqrt(H_Net/((T_c-t_a)*ρ*Q_c))
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

Thickness of the Base Metal - (Measured in Meter) - Thickness of the base metal is the thickness of the base metal and is denoted by h symbol.
Relative Plate Thickness Factor - Relative plate thickness factor is the factor which helps deciding the relative thickness of plate. If t ≤ 0.75, then thin plate equation is valid, if t ≥ 0.75 thick plate equation is valid.
Net Heat Supplied per Unit Length - (Measured in Joule per Meter) - Net heat supplied per unit length can also be converted to newton since energy is newton multiplied meter.
Temperature to Calculate Cooling Rate - (Measured in Kelvin) - Temperature to calculate cooling rate is calculated is the temperature at which the cooling rate is calculated.
Ambient Temperature - (Measured in Kelvin) - Ambient Temperature is the temperature of the surrounding.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given volume. This is taken as mass per unit volume of a given object.
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.

STEP 1: Convert Input(s) to Base Unit

Relative Plate Thickness Factor: 0.694 --> No Conversion Required
Net Heat Supplied per Unit Length: 1000 Joule per Millimeter --> 1000000 Joule per Meter (Check conversion here)
Temperature to Calculate Cooling Rate: 500 Celsius --> 773.15 Kelvin (Check conversion here)
Ambient Temperature: 37 Celsius --> 310.15 Kelvin (Check conversion here)
Density: 997 Kilogram per Cubic Meter --> 997 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = τ*sqrt(H_Net/((T_c-t_a)*ρ*Q_c)) --> 0.694*sqrt(1000000/((773.15-310.15)*997*4184))

Evaluating ... ...

h = 0.0157915790209182

STEP 3: Convert Result to Output's Unit

0.0157915790209182 Meter -->15.7915790209182 Millimeter (Check conversion here)

FINAL ANSWER

15.7915790209182 ≈ 15.79158 Millimeter <-- Thickness of the Base Metal

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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< 13 Heat Flow in Welded Joints Calculators

Peak Temperature Reached at any Point in Material

Go Peak Temperature Reached at a Distance of y = 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 the 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 a Distance of y)*Net Heat Supplied per Unit Length)/((Temperature Reached at a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the 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 a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at a Distance of y)

Net heat supplied to achieve given cooling rates for thin plates

Go Net Heat Supplied per Unit Length = Thickness of the Metal/sqrt(Cooling Rate of Thinplate/(2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)))

Thickness of base metal for desired cooling rate

Go Thickness = Net Heat Supplied per Unit Length*sqrt(Cooling Rate/(2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)))

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

Go Thermal Conductivity = Cooling Rate of Thinplate/(2*pi*Density*Specific Heat Capacity*((Thickness of the Metal/Net Heat Supplied per Unit Length)^2)*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3))

Cooling rate for relatively thin plates

Go Cooling Rate of Thinplate = 2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Thickness of the Metal/Net Heat Supplied per Unit Length)^2)*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)

Relative plate thickness factor

Go Relative Plate Thickness Factor = Thickness of the Metal*sqrt(((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied per Unit Length)

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 to Calculate Cooling Rate-Ambient Temperature)*Density*Specific Heat Capacity))

Net Heat supplied using Relative Thickness Factor

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

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

Go Thermal Conductivity = (Cooling Rate*Net Heat Supplied per Unit Length)/(2*pi*((Temperature to Calculate 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 to Calculate Cooling Rate-Ambient Temperature)^2))/Cooling Rate

Cooling Rate for Relatively Thick Plates

Go Cooling Rate = (2*pi*Thermal Conductivity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied per Unit Length

Thickness of Base Metal using Relative Thickness Factor Formula

How heat transfer takes place near heat affected zone ?

Heat transfer in a welded joint is a complex phenomenon involving three dimensional movement of a heat source. Heat from the weld zone is transferred more to the other parts of the base metal by means of conduction. Similarly heat is also lost to surroundings by convection from the surface, with radiation component being relatively small except near the weld pool. Thus the analytical treatment of the weld zone is extremely difficult.

How to Calculate Thickness of Base Metal using Relative Thickness Factor?

Thickness of Base Metal using Relative Thickness Factor calculator uses Thickness of the Base Metal = Relative Plate Thickness Factor*sqrt(Net Heat Supplied per Unit Length/((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density*Specific Heat Capacity)) to calculate the Thickness of the Base Metal, The Thickness of base metal using Relative thickness factor formula is the thickness of base metal using relative thickness factor. Thickness of the Base Metal is denoted by h symbol.

How to calculate Thickness of Base Metal using Relative Thickness Factor using this online calculator? To use this online calculator for Thickness of Base Metal using Relative Thickness Factor, enter Relative Plate Thickness Factor (τ), Net Heat Supplied per Unit Length (H_Net), Temperature to Calculate Cooling Rate (T_c), Ambient Temperature (t_a), Density (ρ) & Specific Heat Capacity (Q_c) and hit the calculate button. Here is how the Thickness of Base Metal using Relative Thickness Factor calculation can be explained with given input values -> 15791.58 = 0.694*sqrt(1000000/((773.15-310.15)*997*4184)).

FAQ

What is Thickness of Base Metal using Relative Thickness Factor?

The Thickness of base metal using Relative thickness factor formula is the thickness of base metal using relative thickness factor and is represented as h = τ*sqrt(H_Net/((T_c-t_a)*ρ*Q_c)) or Thickness of the Base Metal = Relative Plate Thickness Factor*sqrt(Net Heat Supplied per Unit Length/((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density*Specific Heat Capacity)). Relative plate thickness factor is the factor which helps deciding the relative thickness of plate. If t ≤ 0.75, then thin plate equation is valid, if t ≥ 0.75 thick plate equation is valid, Net heat supplied per unit length can also be converted to newton since energy is newton multiplied meter, Temperature to calculate cooling rate is calculated is the temperature at which the cooling rate is calculated, Ambient Temperature is the temperature of the surrounding, The Density of a material shows the denseness of that material in a specific given volume. This is taken as mass per unit volume of a given object & Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

How to calculate Thickness of Base Metal using Relative Thickness Factor?

The Thickness of base metal using Relative thickness factor formula is the thickness of base metal using relative thickness factor is calculated using Thickness of the Base Metal = Relative Plate Thickness Factor*sqrt(Net Heat Supplied per Unit Length/((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density*Specific Heat Capacity)). To calculate Thickness of Base Metal using Relative Thickness Factor, you need Relative Plate Thickness Factor (τ), Net Heat Supplied per Unit Length (H_Net), Temperature to Calculate Cooling Rate (T_c), Ambient Temperature (t_a), Density (ρ) & Specific Heat Capacity (Q_c). With our tool, you need to enter the respective value for Relative Plate Thickness Factor, Net Heat Supplied per Unit Length, Temperature to Calculate Cooling Rate, Ambient Temperature, Density & Specific Heat Capacity 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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