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

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

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

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

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

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

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

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

115.3941 = \frac{3.1416 \cdot 15^{2} \cdot 207000}{4 \cdot 317000}

115.3941mm = \frac{3.1416 \cdot {15mm}^{2} \cdot 207000N/mm²}{4 \cdot 317000N/mm}

115.3941 = \frac{3.1416 \cdot 15^{2} \cdot 207000}{4 \cdot 317000}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = \frac{π \cdot {15mm}^{2} \cdot 207000N/mm²}{4 \cdot 317000N/mm}

Next Step Substitute values of Constants

∴

l = \frac{3.1416 \cdot {15mm}^{2} \cdot 207000N/mm²}{4 \cdot 317000N/mm}

Next Step Convert Units

∴

l = \frac{3.1416 \cdot {0.015m}^{2} \cdot 2.1E+11Pa}{4 \cdot 3.2E+8N/m}

Next Step Prepare to Evaluate

∴

l = \frac{3.1416 \cdot {0.015}^{2} \cdot 2.1E+11}{4 \cdot 3.2E+8}

Next Step Evaluate

∴

l = 0.115394067697906m

Next Step Convert to Output's Unit

∴

l = 115.394067697906mm

LAST Step Rounding Answer

∴

l = 115.3941mm

Thickness of Parts Held Together by Bolt given Stiffness of Bolt Formula Elements

Variables

Constants

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

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

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

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 Stiffness of Bolt given Thickness of Parts Joined by Bolt

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

How to Evaluate Thickness of Parts Held Together by Bolt given Stiffness of Bolt?

Thickness of Parts Held Together by Bolt given Stiffness of Bolt evaluator uses Total Thickness of Parts Held Together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of Bolt) to evaluate the Total Thickness of Parts Held Together by Bolt, Thickness of Parts held together by Bolt given Stiffness of Bolt is the total length of the part(section) joined together by the bolt. Total Thickness of Parts Held Together by Bolt is denoted by l symbol.

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

FAQs on Thickness of Parts Held Together by Bolt given Stiffness of Bolt

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

The formula of Thickness of Parts Held Together by Bolt given Stiffness of Bolt is expressed as Total Thickness of Parts Held Together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of Bolt). Here is an example- 115394.1 = (pi*0.015^2*207000000000)/(4*317000000).

How to calculate Thickness of Parts Held Together by Bolt given Stiffness of Bolt?

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

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

No, the Thickness of Parts Held Together by Bolt given Stiffness of Bolt, measured in Length cannot be negative.

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

Thickness of Parts Held Together by Bolt given Stiffness of Bolt is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Parts Held Together by Bolt given Stiffness of Bolt can be measured.

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

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

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

Thickness of Parts Held Together by Bolt given Stiffness of Bolt Formula Elements

Other formulas in Load and Strength Characteristics category

How to Evaluate Thickness of Parts Held Together by Bolt given Stiffness of Bolt?

FAQs on Thickness of Parts Held Together by Bolt given Stiffness of Bolt

Variable Name