Thickness of Tapered Bar using Temperature Stress Calculator

✖Thermal Stress is the stress produced by any change in the temperature of the material.ⓘ Thermal Stress [σ]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.ⓘ Coefficient of Linear Thermal Expansion [α]			+10% -10%
✖Change in temperature is the change in final and intial temperatures.ⓘ Change in Temperature [Δt]			+10% -10%
✖Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 2 [D₂]			+10% -10%
✖Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 1 [h ₁]			+10% -10%

✖Section Thickness is the dimension through an object, as opposed to length or width.ⓘ Thickness of Tapered Bar using Temperature Stress [t]

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Thickness of Tapered Bar using Temperature Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Thickness = Thermal Stress/(Young's Modulus*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1)))
t = σ/(E*α*Δt*(D₂-h ₁)/(ln(D₂/h ₁)))
This formula uses 1 Functions, 7 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Section Thickness - (Measured in Meter) - Section Thickness is the dimension through an object, as opposed to length or width.
Thermal Stress - (Measured in Pascal) - Thermal Stress is the stress produced by any change in the temperature of the material.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Coefficient of Linear Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.
Change in Temperature - (Measured in Kelvin) - Change in temperature is the change in final and intial temperatures.
Depth of Point 2 - (Measured in Meter) - Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.
Depth of Point 1 - (Measured in Meter) - Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.

STEP 1: Convert Input(s) to Base Unit

Thermal Stress: 20 Megapascal --> 20000000 Pascal (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Coefficient of Linear Thermal Expansion: 0.001 Per Degree Celsius --> 0.001 Per Kelvin (Check conversion here)
Change in Temperature: 12.5 Degree Celsius --> 12.5 Kelvin (Check conversion here)
Depth of Point 2: 15 Meter --> 15 Meter No Conversion Required
Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = σ/(E*α*Δt*(D₂-h ₁)/(ln(D₂/h ₁))) --> 20000000/(20000000000*0.001*12.5*(15-10)/(ln(15/10)))

Evaluating ... ...

t = 0.00648744172973063

STEP 3: Convert Result to Output's Unit

0.00648744172973063 Meter --> No Conversion Required

FINAL ANSWER

0.00648744172973063 ≈ 0.006487 Meter <-- Section Thickness

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Temperature Stresses and Strains Calculators

Change in Temperature using Temperature Stress for Tapering Rod

LaTeX Go Change in Temperature = Thermal Stress/(Section Thickness*Young's Modulus*Coefficient of Linear Thermal Expansion*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1)))

Thickness of Tapered Bar using Temperature Stress

LaTeX Go Section Thickness = Thermal Stress/(Young's Modulus*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1)))

Temperature Stress for Tapering Rod Section

LaTeX Go Load Applied KN = Section Thickness*Young's Modulus*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1))

Temperature Strain

LaTeX Go Strain = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)

Thickness of Tapered Bar using Temperature Stress Formula

LaTeX Go

What is Temperature Stresses?

Thermal stress is mechanical stress created by any change in temperature of a material. These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints.

How to Calculate Thickness of Tapered Bar using Temperature Stress?

Thickness of Tapered Bar using Temperature Stress calculator uses Section Thickness = Thermal Stress/(Young's Modulus*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1))) to calculate the Section Thickness, The Thickness of Tapered Bar using Temperature Stress is defined as constant for stress acting on the section. Section Thickness is denoted by t symbol.

How to calculate Thickness of Tapered Bar using Temperature Stress using this online calculator? To use this online calculator for Thickness of Tapered Bar using Temperature Stress, enter Thermal Stress (σ), Young's Modulus (E), Coefficient of Linear Thermal Expansion (α), Change in Temperature (Δt), Depth of Point 2 (D₂) & Depth of Point 1 (h ₁) and hit the calculate button. Here is how the Thickness of Tapered Bar using Temperature Stress calculation can be explained with given input values -> 0.006487 = 20000000/(20000000000*0.001*12.5*(15-10)/(ln(15/10))).

FAQ

What is Thickness of Tapered Bar using Temperature Stress?

The Thickness of Tapered Bar using Temperature Stress is defined as constant for stress acting on the section and is represented as t = σ/(E*α*Δt*(D₂-h ₁)/(ln(D₂/h ₁))) or Section Thickness = Thermal Stress/(Young's Modulus*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1))). Thermal Stress is the stress produced by any change in the temperature of the material, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation, Change in temperature is the change in final and intial temperatures, Depth of Point 2 is the depth of point below the free surface in a static mass of liquid & Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.

How to calculate Thickness of Tapered Bar using Temperature Stress?

The Thickness of Tapered Bar using Temperature Stress is defined as constant for stress acting on the section is calculated using Section Thickness = Thermal Stress/(Young's Modulus*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1))). To calculate Thickness of Tapered Bar using Temperature Stress, you need Thermal Stress (σ), Young's Modulus (E), Coefficient of Linear Thermal Expansion (α), Change in Temperature (Δt), Depth of Point 2 (D₂) & Depth of Point 1 (h ₁). With our tool, you need to enter the respective value for Thermal Stress, Young's Modulus, Coefficient of Linear Thermal Expansion, Change in Temperature, Depth of Point 2 & Depth of Point 1 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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