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Relative Plate Thickness Factor Formula

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Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate. Check FAQs

τ = t \cdot \sqrt{\frac{(T c - t a) \cdot ρ m \cdot Q c}{H net}}

τ - Relative Plate Thickness Factor?t - Thickness of Filler Metal?T_c - Temperature for Cooling Rate?t_a - Ambient Temperature?ρ_m - Density of Metal?Q_c - Specific Heat Capacity?H_net - Net Heat Supplied Per Unit Length?

Relative Plate Thickness Factor Example

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Here is how the Relative Plate Thickness Factor equation looks like with Values.

Here is how the Relative Plate Thickness Factor equation looks like with Units.

Here is how the Relative Plate Thickness Factor equation looks like.

0.6166 = 5 \cdot \sqrt{\frac{(500 - 37) \cdot 7850 \cdot 4.184}{1000}}

0.6166 = 5mm \cdot \sqrt{\frac{(500°C - 37°C) \cdot 7850kg/m³ \cdot 4.184kJ/kg*K}{1000J/mm}}

0.6166 = 5 \cdot \sqrt{\frac{(500 - 37) \cdot 7850 \cdot 4.184}{1000}}

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Relative Plate Thickness Factor Solution

Follow our step by step solution on how to calculate Relative Plate Thickness Factor?

FIRST Step Consider the formula

τ = t \cdot \sqrt{\frac{(T c - t a) \cdot ρ m \cdot Q c}{H net}}

Next Step Substitute values of Variables

∴

τ = 5mm \cdot \sqrt{\frac{(500°C - 37°C) \cdot 7850kg/m³ \cdot 4.184kJ/kg*K}{1000J/mm}}

Next Step Convert Units

∴

τ = 0.005m \cdot \sqrt{\frac{(500°C - 37°C) \cdot 7850kg/m³ \cdot 4184J/(kg*K)}{1E+6J/m}}

Next Step Prepare to Evaluate

∴

τ = 0.005 \cdot \sqrt{\frac{(500 - 37) \cdot 7850 \cdot 4184}{1E+6}}

Next Step Evaluate

∴

τ = 0.616582460016501

LAST Step Rounding Answer

∴

τ = 0.6166

Relative Plate Thickness Factor Formula Elements

Variables

Functions

Relative Plate Thickness Factor

Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate.

Symbol: τ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Plate Thickness Factor

Thickness of Filler Metal

Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Filler Metal

Temperature for Cooling Rate

Temperature for Cooling Rate is the temperature at which the cooling rate is calculated.

Symbol: T_c

Measurement: TemperatureUnit: °C

Note: Value can be positive or negative.

Formulas to find Temperature for Cooling Rate

Ambient Temperature

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.

Symbol: t_a

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Formulas to find Ambient Temperature

Density of Metal

Density of Metal is the mass per unit volume of the given metal.

Symbol: ρ_m

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Metal

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: Q_c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Net Heat Supplied Per Unit Length

Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.

Symbol: H_net

Measurement: Energy per Unit LengthUnit: J/mm

Note: Value should be greater than 0.

Formulas to find Net Heat Supplied Per Unit Length

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.

Syntax: sqrt(Number)

Other formulas in Heat Flow in Welded Joints category

Go Peak Temperature Reached at any Point in Material

T p = t a + \frac{H net \cdot (T m - t a)}{(T m - t a) \cdot \sqrt{2 \cdot π \cdot e} \cdot ρ m \cdot t \cdot Q c \cdot y + H net}

Go Position of Peak Temperature from Fusion Boundary

y = \frac{(T m - T y) \cdot H net}{(T y - t a) \cdot (T m - t a) \cdot \sqrt{2 \cdot π \cdot e} \cdot ρ \cdot Q c \cdot t}

How to Evaluate Relative Plate Thickness Factor?

Relative Plate Thickness Factor evaluator 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 evaluate 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 evaluate Relative Plate Thickness Factor using this online evaluator? To use this online evaluator 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.

FAQs on Relative Plate Thickness Factor

What is the formula to find Relative Plate Thickness Factor?

The formula of Relative Plate Thickness Factor is expressed as 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). Here is an example- 0.616582 = 0.005*sqrt(((773.15-310.15)*7850*4184)/1000000).

How to calculate Relative Plate Thickness Factor?

With 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) we can find Relative Plate Thickness Factor using the formula - 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). This formula also uses Square Root (sqrt) function(s).

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Relative Plate Thickness Factor Formula

Relative Plate Thickness Factor Example

Relative Plate Thickness Factor Solution

Relative Plate Thickness Factor Formula Elements

Other formulas in Heat Flow in Welded Joints category

How to Evaluate Relative Plate Thickness Factor?

FAQs on Relative Plate Thickness Factor

Variable Name