Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section Calculator

✖The Load Applied KN is a force imposed on an object by a person or another object in Kilo Newton.ⓘ Load Applied KN [W]			+10% -10%
✖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%
✖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 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 Thermal Expansion given Temperature Stress for Tapering Rod Section [α]

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Formula

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Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section

Formula

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

Example

`"0.001°C⁻¹"="18497kN"/("0.006m"*"20000MPa"*"12.5°C"*("15m"-"10m")/(ln("15m"/"10m")))`

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Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
α = W/(t*E*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

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.
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.
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

Load Applied KN: 18497 Kilonewton --> 18497000 Newton (Check conversion here)
Section Thickness: 0.006 Meter --> 0.006 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (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

α = W/(t*E*Δt*(D₂-h ₁)/(ln(D₂/h ₁))) --> 18497000/(0.006*20000000000*12.5*(15-10)/(ln(15/10)))

Evaluating ... ...

α = 0.000999985080623562

STEP 3: Convert Result to Output's Unit

0.000999985080623562 Per Kelvin -->0.000999985080623562 Per Degree Celsius (Check conversion here)

FINAL ANSWER

0.000999985080623562 ≈ 0.001 Per Degree Celsius <-- Coefficient of Linear Thermal Expansion

(Calculation completed in 00.004 seconds)

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

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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)

Coefficient of Thermal Expansion given 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 Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section?

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section calculator uses 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))) to calculate the Coefficient of Linear Thermal Expansion, The Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section is defined as property of material depending on expansion. Coefficient of Linear Thermal Expansion is denoted by α symbol.

How to calculate Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section using this online calculator? To use this online calculator for Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section, enter Load Applied KN (W), Section Thickness (t), Young's Modulus (E), Change in Temperature (Δt), Depth of Point 2 (D₂) & Depth of Point 1 (h ₁) and hit the calculate button. Here is how the Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section calculation can be explained with given input values -> 0.001 = 18497000/(0.006*20000000000*12.5*(15-10)/(ln(15/10))).

FAQ

What is Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section?

The Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section is defined as property of material depending on expansion and is represented as α = W/(t*E*Δt*(D₂-h ₁)/(ln(D₂/h ₁))) or 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))). The Load Applied KN is a force imposed on an object by a person or another object in Kilo Newton, 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, 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 Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section?

The Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section is defined as property of material depending on expansion is calculated using 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))). To calculate Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section, you need Load Applied KN (W), Section Thickness (t), Young's Modulus (E), 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 Load Applied KN, Section Thickness, Young's Modulus, 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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