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Stiffness of Tapered Rod under Axial Load Formula

GoStiffness of Rod under Axial Load Formula

GoStiffness of Fixed-Fixed Beam with Load at Middle Formula

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The Stiffness Constant is a measure of the extent to which an object resists deformation in response to an applied force. Check FAQs

K = \frac{π \cdot E \cdot d 1 \cdot d 2}{4 \cdot L}

K - Stiffness Constant?E - Young's Modulus?d₁ - End Diameter 1?d₂ - End Diameter 2?L - Total Length?π - Archimedes' constant?

Stiffness of Tapered Rod under Axial Load Example

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Here is how the Stiffness of Tapered Rod under Axial Load equation looks like with Values.

Here is how the Stiffness of Tapered Rod under Axial Load equation looks like with Units.

Here is how the Stiffness of Tapered Rod under Axial Load equation looks like.

17.3144 = \frac{3.1416 \cdot 15 \cdot 466000.2 \cdot 4.1}{4 \cdot 1300}

17.3144N/m = \frac{3.1416 \cdot 15N/m \cdot 466000.2mm \cdot 4.1mm}{4 \cdot 1300mm}

17.3144 = \frac{3.1416 \cdot 15 \cdot 466000.2 \cdot 4.1}{4 \cdot 1300}

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Stiffness of Tapered Rod under Axial Load Solution

Follow our step by step solution on how to calculate Stiffness of Tapered Rod under Axial Load?

FIRST Step Consider the formula

K = \frac{π \cdot E \cdot d 1 \cdot d 2}{4 \cdot L}

Next Step Substitute values of Variables

∴

K = \frac{π \cdot 15N/m \cdot 466000.2mm \cdot 4.1mm}{4 \cdot 1300mm}

Next Step Substitute values of Constants

∴

K = \frac{3.1416 \cdot 15N/m \cdot 466000.2mm \cdot 4.1mm}{4 \cdot 1300mm}

Next Step Convert Units

∴

K = \frac{3.1416 \cdot 15N/m \cdot 466.0002m \cdot 0.0041m}{4 \cdot 1.3m}

Next Step Prepare to Evaluate

∴

K = \frac{3.1416 \cdot 15 \cdot 466.0002 \cdot 0.0041}{4 \cdot 1.3}

Next Step Evaluate

∴

K = 17.3144120193884N/m

LAST Step Rounding Answer

∴

K = 17.3144N/m

Stiffness of Tapered Rod under Axial Load Formula Elements

Variables

Constants

Stiffness Constant

The Stiffness Constant is a measure of the extent to which an object resists deformation in response to an applied force.

Symbol: K

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness Constant

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: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

End Diameter 1

End Diameter 1 is the diameter of the first end of the rod.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find End Diameter 1

End Diameter 2

End Diameter 2 is the diameter of the second end or another end of the rod.

Symbol: d₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find End Diameter 2

Total Length

Total Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Length

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 Stiffness Constant

Go Stiffness of Rod under Axial Load

K = \frac{E \cdot A c}{L}

Go Stiffness of Fixed-Fixed Beam with Load at Middle

K = \frac{192 \cdot E \cdot I}{L^{3}}

Other formulas in Stiffness category

Go Stiffness of Cantilever Beam

κ = \frac{3 \cdot E \cdot Ι}{L^{3}}

How to Evaluate Stiffness of Tapered Rod under Axial Load?

Stiffness of Tapered Rod under Axial Load evaluator uses Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length) to evaluate the Stiffness Constant, Stiffness of Tapered Rod under Axial Load formula is defined as a measure of the resistance of a tapered rod to deformation under axial loading, providing a way to quantify the rod's ability to withstand compressive or tensile forces without changing its shape. Stiffness Constant is denoted by K symbol.

How to evaluate Stiffness of Tapered Rod under Axial Load using this online evaluator? To use this online evaluator for Stiffness of Tapered Rod under Axial Load, enter Young's Modulus (E), End Diameter 1 (d₁), End Diameter 2 (d₂) & Total Length (L) and hit the calculate button.

FAQs on Stiffness of Tapered Rod under Axial Load

What is the formula to find Stiffness of Tapered Rod under Axial Load?

The formula of Stiffness of Tapered Rod under Axial Load is expressed as Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length). Here is an example- 0.000119 = (pi*15*466.0002*0.0041)/(4*1.3).

How to calculate Stiffness of Tapered Rod under Axial Load?

With Young's Modulus (E), End Diameter 1 (d₁), End Diameter 2 (d₂) & Total Length (L) we can find Stiffness of Tapered Rod under Axial Load using the formula - Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length). This formula also uses Archimedes' constant .

What are the other ways to Calculate Stiffness Constant?

Here are the different ways to Calculate Stiffness Constant-

Stiffness Constant=(Young's Modulus*Rod Cross Sectional Area)/Total Length
Stiffness Constant=(192*Young's Modulus*Moment of Inertia)/Total Length^3

Can the Stiffness of Tapered Rod under Axial Load be negative?

No, the Stiffness of Tapered Rod under Axial Load, measured in Surface Tension cannot be negative.

Which unit is used to measure Stiffness of Tapered Rod under Axial Load?

Stiffness of Tapered Rod under Axial Load is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Stiffness of Tapered Rod under Axial Load can be measured.

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Stiffness of Tapered Rod under Axial Load Formula

​GoStiffness of Rod under Axial Load Formula

​GoStiffness of Fixed-Fixed Beam with Load at Middle Formula

Stiffness of Tapered Rod under Axial Load Example

Stiffness of Tapered Rod under Axial Load Solution

Stiffness of Tapered Rod under Axial Load Formula Elements

Other Formulas to find Stiffness Constant

Other formulas in Stiffness category

How to Evaluate Stiffness of Tapered Rod under Axial Load?

FAQs on Stiffness of Tapered Rod under Axial Load

Variable Name

GoStiffness of Rod under Axial Load Formula

GoStiffness of Fixed-Fixed Beam with Load at Middle Formula