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Thermal Stress in Tapered Bar Formula

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GoThermal Stress Formula

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The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure. Check FAQs

σ T = \frac{4 \cdot W load \cdot L}{π \cdot D 1 \cdot D 2 \cdot σ b}

σ_T - Thermal Stress?W_load - Load?L - Length of Weld?D₁ - Diameter of Bigger End?D₂ - Diameter of Smaller End?σ_b - Bending Stress?π - Archimedes' constant?

Thermal Stress in Tapered Bar Example

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With units

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Here is how the Thermal Stress in Tapered Bar equation looks like with Values.

Here is how the Thermal Stress in Tapered Bar equation looks like with Units.

Here is how the Thermal Stress in Tapered Bar equation looks like.

23.2608 = \frac{4 \cdot 53 \cdot 195}{3.1416 \cdot 172.89 \cdot 50.34 \cdot 65}

23.2608Pa = \frac{4 \cdot 53N \cdot 195mm}{3.1416 \cdot 172.89mm \cdot 50.34mm \cdot 65Pa}

23.2608 = \frac{4 \cdot 53 \cdot 195}{3.1416 \cdot 172.89 \cdot 50.34 \cdot 65}

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Strength of Materials » fx Thermal Stress in Tapered Bar

Thermal Stress in Tapered Bar Solution

Follow our step by step solution on how to calculate Thermal Stress in Tapered Bar?

FIRST Step Consider the formula

σ T = \frac{4 \cdot W load \cdot L}{π \cdot D 1 \cdot D 2 \cdot σ b}

Next Step Substitute values of Variables

∴

σ T = \frac{4 \cdot 53N \cdot 195mm}{π \cdot 172.89mm \cdot 50.34mm \cdot 65Pa}

Next Step Substitute values of Constants

∴

σ T = \frac{4 \cdot 53N \cdot 195mm}{3.1416 \cdot 172.89mm \cdot 50.34mm \cdot 65Pa}

Next Step Convert Units

∴

σ T = \frac{4 \cdot 53N \cdot 0.195m}{3.1416 \cdot 0.1729m \cdot 0.0503m \cdot 65Pa}

Next Step Prepare to Evaluate

∴

σ T = \frac{4 \cdot 53 \cdot 0.195}{3.1416 \cdot 0.1729 \cdot 0.0503 \cdot 65}

Next Step Evaluate

∴

σ T = 23.2607737697603Pa

LAST Step Rounding Answer

∴

σ T = 23.2608Pa

Thermal Stress in Tapered Bar Formula Elements

Variables

Constants

Thermal Stress

The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.

Symbol: σ_T

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Thermal Stress

Open Variable

Load

Load is the weight of body lifted by screw jack.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load

Open Variable

Length of Weld

The Length of Weld is the linear distance of the welding segment joined by the welded joint.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Weld

Open Variable

Diameter of Bigger End

The Diameter of Bigger End is the diameter of larger end of circular tapered bar.

Symbol: D₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bigger End

Open Variable

Diameter of Smaller End

Diameter of Smaller End is diameter of smaller end of circular tapered bar.

Symbol: D₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Smaller End

Open Variable

Bending Stress

The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Bending Stress

Open Variable

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Thermal Stress

Go Thermal Stress

σ T = 𝛼 \cdot σ b \cdot ∆T

Other formulas in Stress category

Go Beam Shear Stress

𝜏 = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

See More

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How to Evaluate Thermal Stress in Tapered Bar?

Thermal Stress in Tapered Bar evaluator uses Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress) to evaluate the Thermal Stress, The Thermal Stress in tapered bar is defined as stress in a body or structure due to inequalities of temperature. Thermal Stress is denoted by σ_T symbol.

How to evaluate Thermal Stress in Tapered Bar using this online evaluator? To use this online evaluator for Thermal Stress in Tapered Bar, enter Load (W_load), Length of Weld (L), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Bending Stress (σ_b) and hit the calculate button.

FAQs on Thermal Stress in Tapered Bar

What is the formula to find Thermal Stress in Tapered Bar?

The formula of Thermal Stress in Tapered Bar is expressed as Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress). Here is an example- 77.3376 = (4*53*0.195)/(pi*0.17289*0.05034*65).

How to calculate Thermal Stress in Tapered Bar?

With Load (W_load), Length of Weld (L), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Bending Stress (σ_b) we can find Thermal Stress in Tapered Bar using the formula - Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress). This formula also uses Archimedes' constant .

What are the other ways to Calculate Thermal Stress?

Here are the different ways to Calculate Thermal Stress-

Thermal Stress=Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

Can the Thermal Stress in Tapered Bar be negative?

Yes, the Thermal Stress in Tapered Bar, measured in Stress can be negative.

Which unit is used to measure Thermal Stress in Tapered Bar?

Thermal Stress in Tapered Bar is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Thermal Stress in Tapered Bar can be measured.

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