Temperature Stress for Tapering Rod Section Calculator

✖Section Thickness is the dimension through an object, as opposed to length or width.ⓘ Section Thickness [t]			+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%

✖The Load Applied KN is a force imposed on an object by a person or another object in Kilo Newton.ⓘ Temperature Stress for Tapering Rod Section [W]

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Formula

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Temperature Stress for Tapering Rod Section

Formula

`"W" = "t"*"E"*"α"*"Δt"*("D"_{"2"}-"h "_{"1"})/(ln("D"_{"2"}/"h "_{"1"}))`

Example

`"18497.28kN"="0.006m"*"20000MPa"*"0.001°C⁻¹"*"12.5°C"*("15m"-"10m")/(ln("15m"/"10m"))`

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Temperature Stress for Tapering Rod Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
W = t*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

Load Applied KN - (Measured in Newton) - The Load Applied KN is a force imposed on an object by a person or another object in Kilo Newton.
Section Thickness - (Measured in Meter) - Section Thickness is the dimension through an object, as opposed to length or width.
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

Section Thickness: 0.006 Meter --> 0.006 Meter No Conversion Required
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

W = t*E*α*Δt*(D₂-h ₁)/(ln(D₂/h ₁)) --> 0.006*20000000000*0.001*12.5*(15-10)/(ln(15/10))

Evaluating ... ...

W = 18497275.9678232

STEP 3: Convert Result to Output's Unit

18497275.9678232 Newton -->18497.2759678232 Kilonewton (Check conversion here)

FINAL ANSWER

18497.2759678232 ≈ 18497.28 Kilonewton <-- Load Applied KN

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Stress and Strain » Temperature Stresses and Strains » Temperature Stress for Tapering Rod Section

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 9 Temperature Stresses and Strains Calculators

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section

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

Modulus of Elasticity given Temperature Stress for Tapering Rod Section

Go Young's Modulus = Thermal Stress/(Section Thickness*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)))

Change in Temperature using Temperature Stress for Tapering Rod

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

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

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))

Modulus of Elasticity using Hoop Stress due to Temperature Fall

Go Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre)

Temperature Strain

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

Diameter of Tyre given Temperature Strain

Go Diameter of Tyre = (Wheel Diameter/(Strain+1))

Diameter of Wheel given Temperature Strain

Go Wheel Diameter = Diameter of Tyre*(Strain+1)

Temperature Stress for Tapering Rod Section Formula

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 Temperature Stress for Tapering Rod Section?

Temperature Stress for Tapering Rod Section calculator uses 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)) to calculate the Load Applied KN, The Temperature Stress for Tapering Rod Section is defined as change in stress due to temperature varition at a point. Load Applied KN is denoted by W symbol.

How to calculate Temperature Stress for Tapering Rod Section using this online calculator? To use this online calculator for Temperature Stress for Tapering Rod Section, enter Section Thickness (t), 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 Temperature Stress for Tapering Rod Section calculation can be explained with given input values -> 18.49728 = 0.006*20000000000*0.001*12.5*(15-10)/(ln(15/10)).

FAQ

What is Temperature Stress for Tapering Rod Section?

The Temperature Stress for Tapering Rod Section is defined as change in stress due to temperature varition at a point and is represented as W = t*E*α*Δt*(D₂-h ₁)/(ln(D₂/h ₁)) or 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)). Section Thickness is the dimension through an object, as opposed to length or width, 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 Temperature Stress for Tapering Rod Section?

The Temperature Stress for Tapering Rod Section is defined as change in stress due to temperature varition at a point is calculated using 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)). To calculate Temperature Stress for Tapering Rod Section, you need Section Thickness (t), 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 Section Thickness, 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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