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Stiffness of Fixed-Fixed Beam with Load at Middle Formula

GoStiffness of Rod under Axial Load Formula

GoStiffness of Tapered Rod under Axial Load 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{192 \cdot E \cdot I}{L^{3}}

K - Stiffness Constant?E - Young's Modulus?I - Moment of Inertia?L - Total Length?

Stiffness of Fixed-Fixed Beam with Load at Middle Example

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Here is how the Stiffness of Fixed-Fixed Beam with Load at Middle equation looks like with Values.

Here is how the Stiffness of Fixed-Fixed Beam with Load at Middle equation looks like with Units.

Here is how the Stiffness of Fixed-Fixed Beam with Load at Middle equation looks like.

17.3036 = \frac{192 \cdot 15 \cdot 0.0132}{1300^{3}}

17.3036N/m = \frac{192 \cdot 15N/m \cdot 0.0132kg·m²}{{1300mm}^{3}}

17.3036 = \frac{192 \cdot 15 \cdot 0.0132}{1300^{3}}

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Stiffness of Fixed-Fixed Beam with Load at Middle Solution

Follow our step by step solution on how to calculate Stiffness of Fixed-Fixed Beam with Load at Middle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \frac{192 \cdot 15N/m \cdot 0.0132kg·m²}{{1300mm}^{3}}

Next Step Convert Units

∴

K = \frac{192 \cdot 15N/m \cdot 0.0132kg·m²}{{1.3m}^{3}}

Next Step Prepare to Evaluate

∴

K = \frac{192 \cdot 15 \cdot 0.0132}{{1.3}^{3}}

Next Step Evaluate

∴

K = 17.3035958124715N/m

LAST Step Rounding Answer

∴

K = 17.3036N/m

Stiffness of Fixed-Fixed Beam with Load at Middle 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

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

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 Rod under Axial Load

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

Go Stiffness of Tapered Rod under Axial Load

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

Other formulas in Stiffness category

Go Stiffness of Cantilever Beam

κ = \frac{3 \cdot E \cdot Ι}{L^{3}}

How to Evaluate Stiffness of Fixed-Fixed Beam with Load at Middle?

Stiffness of Fixed-Fixed Beam with Load at Middle evaluator uses Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3 to evaluate the Stiffness Constant, Stiffness of Fixed-Fixed Beam with Load at Middle formula is defined as a measure of the resistance of a beam to deformation when it is subjected to a load at its middle point, providing a way to calculate the beam's ability to withstand external forces and maintain its shape. Stiffness Constant is denoted by K symbol.

How to evaluate Stiffness of Fixed-Fixed Beam with Load at Middle using this online evaluator? To use this online evaluator for Stiffness of Fixed-Fixed Beam with Load at Middle, enter Young's Modulus (E), Moment of Inertia (I) & Total Length (L) and hit the calculate button.

FAQs on Stiffness of Fixed-Fixed Beam with Load at Middle

What is the formula to find Stiffness of Fixed-Fixed Beam with Load at Middle?

The formula of Stiffness of Fixed-Fixed Beam with Load at Middle is expressed as Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3. Here is an example- 17.00209 = (192*15*0.0132)/1.3^3.

How to calculate Stiffness of Fixed-Fixed Beam with Load at Middle?

With Young's Modulus (E), Moment of Inertia (I) & Total Length (L) we can find Stiffness of Fixed-Fixed Beam with Load at Middle using the formula - Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3.

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=(pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)

Can the Stiffness of Fixed-Fixed Beam with Load at Middle be negative?

No, the Stiffness of Fixed-Fixed Beam with Load at Middle, measured in Surface Tension cannot be negative.

Which unit is used to measure Stiffness of Fixed-Fixed Beam with Load at Middle?

Stiffness of Fixed-Fixed Beam with Load at Middle 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 Fixed-Fixed Beam with Load at Middle can be measured.

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Stiffness of Fixed-Fixed Beam with Load at Middle Formula

​GoStiffness of Rod under Axial Load Formula

​GoStiffness of Tapered Rod under Axial Load Formula

Stiffness of Fixed-Fixed Beam with Load at Middle Example

Stiffness of Fixed-Fixed Beam with Load at Middle Solution

Stiffness of Fixed-Fixed Beam with Load at Middle Formula Elements

Other Formulas to find Stiffness Constant

Other formulas in Stiffness category

How to Evaluate Stiffness of Fixed-Fixed Beam with Load at Middle?

FAQs on Stiffness of Fixed-Fixed Beam with Load at Middle

Variable Name

GoStiffness of Rod under Axial Load Formula

GoStiffness of Tapered Rod under Axial Load Formula