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Temperature Stress for Tapering Rod Section Formula

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

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

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

Temperature Stress for Tapering Rod Section Example

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Here is how the Temperature Stress for Tapering Rod Section equation looks like with Values.

Here is how the Temperature Stress for Tapering Rod Section equation looks like with Units.

Here is how the Temperature Stress for Tapering Rod Section equation looks like.

18497.276 = 0.006 \cdot 20000 \cdot 0.001 \cdot 12.5 \cdot \frac{15 - 10}{\ln (\frac{15}{10})}

18497.276kN = 0.006m \cdot 20000MPa \cdot 0.001°C⁻¹ \cdot 12.5°C \cdot \frac{15m - 10m}{\ln (\frac{15m}{10m})}

18497.276 = 0.006 \cdot 20000 \cdot 0.001 \cdot 12.5 \cdot \frac{15 - 10}{\ln (\frac{15}{10})}

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Temperature Stress for Tapering Rod Section Solution

Follow our step by step solution on how to calculate Temperature Stress for Tapering Rod Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

W = 0.006m \cdot 2E+10Pa \cdot 0.0011/K \cdot 12.5K \cdot \frac{15m - 10m}{\ln (\frac{15m}{10m})}

Next Step Prepare to Evaluate

∴

W = 0.006 \cdot 2E+10 \cdot 0.001 \cdot 12.5 \cdot \frac{15 - 10}{\ln (\frac{15}{10})}

Next Step Evaluate

∴

W = 18497275.9678232N

Next Step Convert to Output's Unit

∴

W = 18497.2759678232kN

LAST Step Rounding Answer

∴

W = 18497.276kN

Temperature Stress for Tapering Rod Section Formula Elements

Variables

Functions

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

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

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 Temperature Stress for Tapering Rod Section?

Temperature Stress for Tapering Rod Section evaluator 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 evaluate 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 evaluate Temperature Stress for Tapering Rod Section using this online evaluator? To use this online evaluator 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.

FAQs on Temperature Stress for Tapering Rod Section

What is the formula to find Temperature Stress for Tapering Rod Section?

The formula of Temperature Stress for Tapering Rod Section is expressed as 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)). Here is an example- 18.49728 = 0.006*20000000000*0.001*12.5*(15-10)/(ln(15/10)).

How to calculate Temperature Stress for Tapering Rod Section?

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

Can the Temperature Stress for Tapering Rod Section be negative?

Yes, the Temperature Stress for Tapering Rod Section, measured in Force can be negative.

Which unit is used to measure Temperature Stress for Tapering Rod Section?

Temperature Stress for Tapering Rod Section is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Temperature Stress for Tapering Rod Section can be measured.

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Temperature Stress for Tapering Rod Section Formula

Temperature Stress for Tapering Rod Section Example

Temperature Stress for Tapering Rod Section Solution

Temperature Stress for Tapering Rod Section Formula Elements

Other formulas in Temperature Stresses and Strains category

How to Evaluate Temperature Stress for Tapering Rod Section?

FAQs on Temperature Stress for Tapering Rod Section

Variable Name