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Young's Modulus of Bolt given Stiffness of Bolt Formula

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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. Check FAQs

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

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

Young's Modulus of Bolt given Stiffness of Bolt Example

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Here is how the Young's Modulus of Bolt given Stiffness of Bolt equation looks like with Values.

Here is how the Young's Modulus of Bolt given Stiffness of Bolt equation looks like with Units.

Here is how the Young's Modulus of Bolt given Stiffness of Bolt equation looks like.

206293.1005 = \frac{317000 \cdot 115 \cdot 4}{15^{2} \cdot 3.1416}

206293.1005N/mm² = \frac{317000N/mm \cdot 115mm \cdot 4}{{15mm}^{2} \cdot 3.1416}

206293.1005 = \frac{317000 \cdot 115 \cdot 4}{15^{2} \cdot 3.1416}

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Young's Modulus of Bolt given Stiffness of Bolt Solution

Follow our step by step solution on how to calculate Young's Modulus of Bolt given Stiffness of Bolt?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = \frac{317000N/mm \cdot 115mm \cdot 4}{{15mm}^{2} \cdot π}

Next Step Substitute values of Constants

∴

E = \frac{317000N/mm \cdot 115mm \cdot 4}{{15mm}^{2} \cdot 3.1416}

Next Step Convert Units

∴

E = \frac{3.2E+8N/m \cdot 0.115m \cdot 4}{{0.015m}^{2} \cdot 3.1416}

Next Step Prepare to Evaluate

∴

E = \frac{3.2E+8 \cdot 0.115 \cdot 4}{{0.015}^{2} \cdot 3.1416}

Next Step Evaluate

∴

E = 206293100459.202Pa

Next Step Convert to Output's Unit

∴

E = 206293.100459202N/mm²

LAST Step Rounding Answer

∴

E = 206293.1005N/mm²

Young's Modulus of Bolt given Stiffness of Bolt Formula Elements

Variables

Constants

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

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

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 Young's Modulus of Bolt given Stiffness of Bolt?

Young's Modulus of Bolt given Stiffness of Bolt evaluator uses Modulus of Elasticity of Bolt = (Stiffness of Bolt*Total Thickness of Parts Held Together by Bolt*4)/(Nominal Bolt Diameter^2*pi) to evaluate the Modulus of Elasticity of Bolt, Young's Modulus of Bolt given Stiffness of Bolt describes the relationship between stress (force per unit area) and strain (proportional deformation in an object). The Young’s modulus is named after the British scientist Thomas Young. A solid object deforms when a particular load is applied to it. The body regains its original shape when the pressure is removed if the object is elastic. Many materials are not linear and elastic beyond a small amount of deformation. The constant Young’s modulus applies only to linear elastic substances. Modulus of Elasticity of Bolt is denoted by E symbol.

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

FAQs on Young's Modulus of Bolt given Stiffness of Bolt

What is the formula to find Young's Modulus of Bolt given Stiffness of Bolt?

The formula of Young's Modulus of Bolt given Stiffness of Bolt is expressed as Modulus of Elasticity of Bolt = (Stiffness of Bolt*Total Thickness of Parts Held Together by Bolt*4)/(Nominal Bolt Diameter^2*pi). Here is an example- 0.206293 = (317000000*0.115*4)/(0.015^2*pi).

How to calculate Young's Modulus of Bolt given Stiffness of Bolt?

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

Can the Young's Modulus of Bolt given Stiffness of Bolt be negative?

No, the Young's Modulus of Bolt given Stiffness of Bolt, measured in Stress cannot be negative.

Which unit is used to measure Young's Modulus of Bolt given Stiffness of Bolt?

Young's Modulus of Bolt given Stiffness of Bolt is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Young's Modulus of Bolt given Stiffness of Bolt can be measured.

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Young's Modulus of Bolt given Stiffness of Bolt Formula

Young's Modulus of Bolt given Stiffness of Bolt Example

Young's Modulus of Bolt given Stiffness of Bolt Solution

Young's Modulus of Bolt given Stiffness of Bolt Formula Elements

Other formulas in Load and Strength Characteristics category

How to Evaluate Young's Modulus of Bolt given Stiffness of Bolt?

FAQs on Young's Modulus of Bolt given Stiffness of Bolt

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