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Stiffness of Bolt given Thickness of Parts Joined by Bolt Formula

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The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force. Check FAQs

k b' = \frac{π \cdot d^{2} \cdot E}{4 \cdot l}

k_b' - Stiffness of Bolt?d - Nominal Bolt Diameter?E - Modulus of Elasticity of Bolt?l - Total Thickness of Parts Held Together by Bolt?π - Archimedes' constant?

Stiffness of Bolt given Thickness of Parts Joined by Bolt Example

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Here is how the Stiffness of Bolt given Thickness of Parts Joined by Bolt equation looks like with Values.

Here is how the Stiffness of Bolt given Thickness of Parts Joined by Bolt equation looks like with Units.

Here is how the Stiffness of Bolt given Thickness of Parts Joined by Bolt equation looks like.

318086.2562 = \frac{3.1416 \cdot 15^{2} \cdot 207000}{4 \cdot 115}

318086.2562N/mm = \frac{3.1416 \cdot {15mm}^{2} \cdot 207000N/mm²}{4 \cdot 115mm}

318086.2562 = \frac{3.1416 \cdot 15^{2} \cdot 207000}{4 \cdot 115}

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Stiffness of Bolt given Thickness of Parts Joined by Bolt Solution

Follow our step by step solution on how to calculate Stiffness of Bolt given Thickness of Parts Joined by Bolt?

FIRST Step Consider the formula

k b' = \frac{π \cdot d^{2} \cdot E}{4 \cdot l}

Next Step Substitute values of Variables

∴

k b' = \frac{π \cdot {15mm}^{2} \cdot 207000N/mm²}{4 \cdot 115mm}

Next Step Substitute values of Constants

∴

k b' = \frac{3.1416 \cdot {15mm}^{2} \cdot 207000N/mm²}{4 \cdot 115mm}

Next Step Convert Units

∴

k b' = \frac{3.1416 \cdot {0.015m}^{2} \cdot 2.1E+11Pa}{4 \cdot 0.115m}

Next Step Prepare to Evaluate

∴

k b' = \frac{3.1416 \cdot {0.015}^{2} \cdot 2.1E+11}{4 \cdot 0.115}

Next Step Evaluate

∴

k b' = 318086256.175967N/m

Next Step Convert to Output's Unit

∴

k b' = 318086.256175967N/mm

LAST Step Rounding Answer

∴

k b' = 318086.2562N/mm

Stiffness of Bolt given Thickness of Parts Joined by Bolt Formula Elements

Variables

Constants

Stiffness of Bolt

The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.

Symbol: k_b'

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Bolt

Nominal Bolt Diameter

Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal Bolt Diameter

Modulus of Elasticity of Bolt

Modulus of Elasticity of Bolt is a quantity that measures the bolt's or substance's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Bolt

Total Thickness of Parts Held Together by Bolt

The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Thickness of Parts Held Together by Bolt

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 in Load and Strength Characteristics category

Go Tensile Force on Bolt given Maximum Tensile Stress in Bolt

P tb = σt max \cdot \frac{π}{4} \cdot {d c}^{2}

Go Tensile Force on Bolt in Tension

P tb = \frac{π}{4} \cdot {d c}^{2} \cdot \frac{S yt}{f s}

Go Tensile Force on Bolt in Shear

P tb = π \cdot d c \cdot h \cdot \frac{S sy}{f s}

Go Thickness of Parts Held Together by Bolt given Stiffness of Bolt

l = \frac{π \cdot d^{2} \cdot E}{4 \cdot k b'}

How to Evaluate Stiffness of Bolt given Thickness of Parts Joined by Bolt?

Stiffness of Bolt given Thickness of Parts Joined by Bolt evaluator uses Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts Held Together by Bolt) to evaluate the Stiffness of Bolt, Stiffness of Bolt given Thickness of Parts joined by Bolt is defined as the extent to which the bolt resists deformation in response to an applied force. Stiffness of Bolt is denoted by k_b' symbol.

How to evaluate Stiffness of Bolt given Thickness of Parts Joined by Bolt using this online evaluator? To use this online evaluator for Stiffness of Bolt given Thickness of Parts Joined by Bolt, enter Nominal Bolt Diameter (d), Modulus of Elasticity of Bolt (E) & Total Thickness of Parts Held Together by Bolt (l) and hit the calculate button.

FAQs on Stiffness of Bolt given Thickness of Parts Joined by Bolt

What is the formula to find Stiffness of Bolt given Thickness of Parts Joined by Bolt?

The formula of Stiffness of Bolt given Thickness of Parts Joined by Bolt is expressed as Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts Held Together by Bolt). Here is an example- 318.0863 = (pi*0.015^2*207000000000)/(4*0.115).

How to calculate Stiffness of Bolt given Thickness of Parts Joined by Bolt?

With Nominal Bolt Diameter (d), Modulus of Elasticity of Bolt (E) & Total Thickness of Parts Held Together by Bolt (l) we can find Stiffness of Bolt given Thickness of Parts Joined by Bolt using the formula - Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts Held Together by Bolt). This formula also uses Archimedes' constant .

Can the Stiffness of Bolt given Thickness of Parts Joined by Bolt be negative?

No, the Stiffness of Bolt given Thickness of Parts Joined by Bolt, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Stiffness of Bolt given Thickness of Parts Joined by Bolt?

Stiffness of Bolt given Thickness of Parts Joined by Bolt is usually measured using the Newton per Millimeter[N/mm] for Stiffness Constant. Newton per Meter[N/mm], Kilonewton per Millimeter[N/mm] are the few other units in which Stiffness of Bolt given Thickness of Parts Joined by Bolt can be measured.

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Stiffness of Bolt given Thickness of Parts Joined by Bolt Formula

Stiffness of Bolt given Thickness of Parts Joined by Bolt Example

Stiffness of Bolt given Thickness of Parts Joined by Bolt Solution

Stiffness of Bolt given Thickness of Parts Joined by Bolt Formula Elements

Other formulas in Load and Strength Characteristics category

How to Evaluate Stiffness of Bolt given Thickness of Parts Joined by Bolt?

FAQs on Stiffness of Bolt given Thickness of Parts Joined by Bolt

Variable Name