Stiffness of Bolt given Thickness of Parts Joined by Bolt Calculator

✖Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.ⓘ Nominal Bolt Diameter [d]			+10% -10%
✖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.ⓘ Modulus of Elasticity of Bolt [E]			+10% -10%
✖The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.ⓘ Total Thickness of Parts held together by Bolt [l]			+10% -10%

✖The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.ⓘ Stiffness of Bolt given Thickness of Parts Joined by Bolt [k_b']

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Formula

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Stiffness of Bolt given Thickness of Parts Joined by Bolt

Formula

`("k"_{"b"}"'") = (pi*"d"^2*"E")/(4*"l")`

Example

`"318086.3N/mm"=(pi*("15mm")^2*"207000N/mm²")/(4*"115mm")`

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Stiffness of Bolt given Thickness of Parts Joined by Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt)
k_b' = (pi*d^2*E)/(4*l)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Stiffness of Bolt - (Measured in Newton per Meter) - The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.
Nominal Bolt Diameter - (Measured in Meter) - Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.
Modulus of Elasticity of Bolt - (Measured in Pascal) - 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.
Total Thickness of Parts held together by Bolt - (Measured in Meter) - The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.

STEP 1: Convert Input(s) to Base Unit

Nominal Bolt Diameter: 15 Millimeter --> 0.015 Meter (Check conversion here)
Modulus of Elasticity of Bolt: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Total Thickness of Parts held together by Bolt: 115 Millimeter --> 0.115 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_b' = (pi*d^2*E)/(4*l) --> (pi*0.015^2*207000000000)/(4*0.115)

Evaluating ... ...

k_b' = 318086256.175967

STEP 3: Convert Result to Output's Unit

318086256.175967 Newton per Meter -->318086.256175967 Newton per Millimeter (Check conversion here)

FINAL ANSWER

318086.256175967 ≈ 318086.3 Newton per Millimeter <-- Stiffness of Bolt

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Threaded Bolted Joints » Load and Strength Characteristics » Stiffness of Bolt given Thickness of Parts Joined by Bolt

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< 13 Load and Strength Characteristics Calculators

Tensile Force on Bolt in Shear

Go Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint

Thickness of Parts Held Together by Bolt given Stiffness of Bolt

Go Total Thickness of Parts held together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of Bolt)

Stiffness of Bolt given Thickness of Parts Joined by Bolt

Go Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt)

Young's Modulus of Bolt given Stiffness of Bolt

Go Modulus of Elasticity of Bolt = (Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Nominal Bolt Diameter^2*pi)

Tensile Force on Bolt in Tension

Go Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint

Tensile Force on Bolt given Maximum Tensile Stress in Bolt

Go Tensile Force in Bolt = Maximum Tensile Stress in Bolt*pi/4*Core Diameter of Bolt^2

Imaginary Force at Center of Gravity of Bolted Joint given Primary Shear Force

Go Imaginary Force on Bolt = Primary Shear Force on Bolt*Number of Bolts in Bolted Joint

Number of Bolts given Primary Shear Force

Go Number of Bolts in Bolted Joint = Imaginary Force on Bolt/Primary Shear Force on Bolt

Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt

Go Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt

Pre Load in Bolt given Wrench Torque

Go Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter)

Wrench Torque Required to Create Required Pre Load

Go Wrench Torque for Bolt Tightening = 0.2*Pre Load in Bolt*Nominal Bolt Diameter

Resultant Load on Bolt given Pre Load and External Load

Go Resultant Load on Bolt = Pre Load in Bolt+Load due to External Force on Bolt

Pre Load in Bolt given Elongation of Bolt

Go Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt

Stiffness of Bolt given Thickness of Parts Joined by Bolt Formula

Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt)
k_b' = (pi*d^2*E)/(4*l)

What is stiffness?

The stiffness, k, of a body is a measure of the resistance offered by an elastic body to deformation. For an elastic body with a single degree of freedom (DOF) (for example, stretching or compression of a rod), the stiffness is defined as k=f/dx

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

Stiffness of Bolt given Thickness of Parts Joined by Bolt calculator uses Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt) to calculate 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 calculate Stiffness of Bolt given Thickness of Parts Joined by Bolt using this online calculator? To use this online calculator 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. Here is how the Stiffness of Bolt given Thickness of Parts Joined by Bolt calculation can be explained with given input values -> 318.0863 = (pi*0.015^2*207000000000)/(4*0.115).

FAQ

What is Stiffness of Bolt given Thickness of Parts Joined by 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 and is represented as k_b' = (pi*d^2*E)/(4*l) or Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt). Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the 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 & The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.

How to calculate Stiffness of Bolt given Thickness of Parts Joined by 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 is calculated using Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt). To calculate Stiffness of Bolt given Thickness of Parts Joined by Bolt, you need Nominal Bolt Diameter (d), Modulus of Elasticity of Bolt (E) & Total Thickness of Parts held together by Bolt (l). With our tool, you need to enter the respective value for Nominal Bolt Diameter, Modulus of Elasticity of Bolt & Total Thickness of Parts held together by Bolt and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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