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Stiffness of Rod under Axial Load Formula

GoStiffness of Tapered 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{E \cdot A c}{L}

K - Stiffness Constant?E - Young's Modulus?A_c - Rod Cross Sectional Area?L - Total Length?

Stiffness of Rod under Axial Load Example

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

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

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

17.3077 = \frac{15 \cdot 1.5}{1300}

17.3077N/m = \frac{15N/m \cdot 1.5m²}{1300mm}

17.3077 = \frac{15 \cdot 1.5}{1300}

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Stiffness of Rod under Axial Load Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \frac{15N/m \cdot 1.5m²}{1300mm}

Next Step Convert Units

∴

K = \frac{15N/m \cdot 1.5m²}{1.3m}

Next Step Prepare to Evaluate

∴

K = \frac{15 \cdot 1.5}{1.3}

Next Step Evaluate

∴

K = 17.3076923076923N/m

LAST Step Rounding Answer

∴

K = 17.3077N/m

Stiffness of Rod under Axial Load Formula Elements

Variables

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

Rod Cross Sectional Area

Rod Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_c

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Rod Cross Sectional Area

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

Other Formulas to find Stiffness Constant

Go Stiffness of Tapered Rod under Axial Load

K = \frac{π \cdot E \cdot d 1 \cdot d 2}{4 \cdot 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 Rod under Axial Load?

Stiffness of Rod under Axial Load evaluator uses Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length to evaluate the Stiffness Constant, Stiffness of Rod under Axial Load formula is defined as a measure of the rigidity of a rod when it is subjected to an axial load, providing a way to quantify the rod's ability to resist deformation under compressive or tensile forces. Stiffness Constant is denoted by K symbol.

How to evaluate Stiffness of Rod under Axial Load using this online evaluator? To use this online evaluator for Stiffness of Rod under Axial Load, enter Young's Modulus (E), Rod Cross Sectional Area (A_c) & Total Length (L) and hit the calculate button.

FAQs on Stiffness of Rod under Axial Load

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

The formula of Stiffness of Rod under Axial Load is expressed as Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length. Here is an example- 17.30769 = (15*1.5)/1.3.

How to calculate Stiffness of Rod under Axial Load?

With Young's Modulus (E), Rod Cross Sectional Area (A_c) & Total Length (L) we can find Stiffness of Rod under Axial Load using the formula - Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length.

What are the other ways to Calculate Stiffness Constant?

Here are the different ways to Calculate Stiffness Constant-

Stiffness Constant=(pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)
Stiffness Constant=(192*Young's Modulus*Moment of Inertia)/Total Length^3

Can the Stiffness of Rod under Axial Load be negative?

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

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

Stiffness of 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 Rod under Axial Load can be measured.

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Stiffness of Rod under Axial Load Formula

​GoStiffness of Tapered Rod under Axial Load Formula

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

Stiffness of Rod under Axial Load Example

Stiffness of Rod under Axial Load Solution

Stiffness of Rod under Axial Load Formula Elements

Other Formulas to find Stiffness Constant

Other formulas in Stiffness category

How to Evaluate Stiffness of Rod under Axial Load?

FAQs on Stiffness of Rod under Axial Load

Variable Name

GoStiffness of Tapered Rod under Axial Load Formula

GoStiffness of Fixed-Fixed Beam with Load at Middle Formula