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 for Cooling Rate-Ambient Temperature)*Density of Electrode*Specific Heat Capacity))
h = τ*sqrt(Hnet/((Tc-ta)*ρ*Qc))
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) - The Thickness of the Base Metal refers to the measurement of the distance through a piece of metal from one surface to the opposite surface.
Relative Plate Thickness Factor - Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate.
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.
Temperature for Cooling Rate - (Measured in Kelvin) - Temperature for Cooling Rate is the temperature at which the cooling rate is calculated.
Ambient Temperature - (Measured in Kelvin) - Ambient Temperature Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding.
Density of Electrode - (Measured in Kilogram per Cubic Meter) - The Density of Electrode in welding refers to the mass per unit volume of the electrode material, it is the filling material of the weld.
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: 0.616582 --> No Conversion Required
Net Heat Supplied Per Unit Length: 1000 Joule per Millimeter --> 1000000 Joule per Meter (Check conversion ​here)
Temperature for Cooling Rate: 500 Celsius --> 773.15 Kelvin (Check conversion ​here)
Ambient Temperature: 37 Celsius --> 310.15 Kelvin (Check conversion ​here)
Density of Electrode: 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(Hnet/((Tc-ta)*ρ*Qc)) --> 0.616582*sqrt(1000000/((773.15-310.15)*997*4184))
Evaluating ... ...
h = 0.0140299760459305
STEP 3: Convert Result to Output's Unit
0.0140299760459305 Meter -->14.0299760459305 Millimeter (Check conversion ​here)
FINAL ANSWER
14.0299760459305 14.02998 Millimeter <-- Thickness of the Base Metal
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Verifier Image
Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 400+ more calculators!

Heat Flow in Welded Joints Calculators

Peak Temperature Reached at any Point in Material
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)
Cooling Rate for Relatively Thick Plates
​ LaTeX ​ Go Cooling Rate of Thick Plate = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied Per Unit Length

Thickness of Base Metal using Relative Thickness Factor Formula

​LaTeX ​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))
h = τ*sqrt(Hnet/((Tc-ta)*ρ*Qc))

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 for Cooling Rate-Ambient Temperature)*Density of Electrode*Specific Heat Capacity)) to calculate the Thickness of the Base Metal, Thickness of Base Metal using Relative Thickness Factor (RTF) typically involves multiplying the RTF by the thickness of a reference material or standard thickness. The RTF is a ratio that helps to determine the thickness of a base metal relative to a reference material or standard. 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 (Hnet), Temperature for Cooling Rate (Tc), Ambient Temperature (ta), Density of Electrode (ρ) & Specific Heat Capacity (Qc) 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 -> 14029.98 = 0.616582*sqrt(1000000/((773.15-310.15)*997*4184)).

FAQ

What is Thickness of Base Metal using Relative Thickness Factor?
Thickness of Base Metal using Relative Thickness Factor (RTF) typically involves multiplying the RTF by the thickness of a reference material or standard thickness. The RTF is a ratio that helps to determine the thickness of a base metal relative to a reference material or standard and is represented as h = τ*sqrt(Hnet/((Tc-ta)*ρ*Qc)) or 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 is the factor which helps deciding the relative thickness of plate, Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium, Temperature for Cooling Rate is the temperature at which the cooling rate is calculated, Ambient Temperature Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding, The Density of Electrode in welding refers to the mass per unit volume of the electrode material, it is the filling material of the weld & 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?
Thickness of Base Metal using Relative Thickness Factor (RTF) typically involves multiplying the RTF by the thickness of a reference material or standard thickness. The RTF is a ratio that helps to determine the thickness of a base metal relative to a reference material or standard is calculated using 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)). To calculate Thickness of Base Metal using Relative Thickness Factor, you need Relative Plate Thickness Factor (τ), Net Heat Supplied Per Unit Length (Hnet), Temperature for Cooling Rate (Tc), Ambient Temperature (ta), Density of Electrode (ρ) & Specific Heat Capacity (Qc). With our tool, you need to enter the respective value for Relative Plate Thickness Factor, Net Heat Supplied Per Unit Length, Temperature for Cooling Rate, Ambient Temperature, Density of Electrode & Specific Heat Capacity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!