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

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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. Check FAQs

α = \frac{W}{t \cdot E \cdot Δt \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}}

α - Coefficient of Linear Thermal Expansion?W - Load Applied KN?t - Section Thickness?E - Young's Modulus?Δt - Change in Temperature?D₂ - Depth of Point 2?h ₁ - Depth of Point 1?

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

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Here is how the Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section equation looks like with Values.

Here is how the Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section equation looks like with Units.

Here is how the Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section equation looks like.

0.001 = \frac{18497}{0.006 \cdot 20000 \cdot 12.5 \cdot \frac{15 - 10}{\ln (\frac{15}{10})}}

0.001°C⁻¹ = \frac{18497kN}{0.006m \cdot 20000MPa \cdot 12.5°C \cdot \frac{15m - 10m}{\ln (\frac{15m}{10m})}}

0.001 = \frac{18497}{0.006 \cdot 20000 \cdot 12.5 \cdot \frac{15 - 10}{\ln (\frac{15}{10})}}

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

Follow our step by step solution on how to calculate Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section?

FIRST Step Consider the formula

α = \frac{W}{t \cdot E \cdot Δt \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}}

Next Step Substitute values of Variables

∴

α = \frac{18497kN}{0.006m \cdot 20000MPa \cdot 12.5°C \cdot \frac{15m - 10m}{\ln (\frac{15m}{10m})}}

Next Step Convert Units

∴

α = \frac{1.8E+7N}{0.006m \cdot 2E+10Pa \cdot 12.5K \cdot \frac{15m - 10m}{\ln (\frac{15m}{10m})}}

Next Step Prepare to Evaluate

∴

α = \frac{1.8E+7}{0.006 \cdot 2E+10 \cdot 12.5 \cdot \frac{15 - 10}{\ln (\frac{15}{10})}}

Next Step Evaluate

∴

α = 0.0009999850806235621/K

Next Step Convert to Output's Unit

∴

α = 0.000999985080623562°C⁻¹

LAST Step Rounding Answer

∴

α = 0.001°C⁻¹

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section Formula Elements

Variables

Functions

Coefficient of Linear Thermal Expansion

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.

Symbol: α

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Linear Thermal Expansion

Load Applied KN

The Load Applied KN is a force imposed on an object by a person or another object in Kilo Newton.

Symbol: W

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Load Applied KN

Section Thickness

Section Thickness is the dimension through an object, as opposed to length or width.

Symbol: t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Section Thickness

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Change in Temperature

Change in temperature is the change in final and intial temperatures.

Symbol: Δt

Measurement: Temperature DifferenceUnit: °C

Note: Value can be positive or negative.

Formulas to find Change in Temperature

Depth of Point 2

Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.

Symbol: D₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Point 2

Depth of Point 1

Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.

Symbol: h ₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Point 1

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Temperature Stresses and Strains category

Go Temperature Strain

ε = (\frac{D wheel - d tyre}{d tyre})

Go Thickness of Tapered Bar using Temperature Stress

t = \frac{σ}{E \cdot α \cdot Δt \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}}

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

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section evaluator 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 evaluate 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 evaluate Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section using this online evaluator? To use this online evaluator 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.

FAQs on Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section

What is the formula to find Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section?

The formula of Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section is expressed as 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))). Here is an example- 0.001 = 18497000/(0.006*20000000000*12.5*(15-10)/(ln(15/10))).

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

With 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) we can find Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section using the formula - 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))). This formula also uses Natural Logarithm (ln) function(s).

Can the Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section be negative?

Yes, the Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section, measured in Temperature Coefficient of Resistance can be negative.

Which unit is used to measure Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section?

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section is usually measured using the Per Degree Celsius[°C⁻¹] for Temperature Coefficient of Resistance. Per Kelvin[°C⁻¹] are the few other units in which Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section can be measured.

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

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

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

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section Formula Elements

Other formulas in Temperature Stresses and Strains category

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

FAQs on Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section

Variable Name