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)
kb' = (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
kb' = (pi*d^2*E)/(4*l) --> (pi*0.015^2*207000000000)/(4*0.115)
Evaluating ... ...
kb' = 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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​ LaTeX ​ Go Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint
Stiffness of Bolt given Thickness of Parts Joined by Bolt
​ LaTeX ​ Go Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts Held Together by Bolt)
Tensile Force on Bolt in Tension
​ LaTeX ​ Go Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint
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​ LaTeX ​ Go Tensile Force in Bolt = Maximum Tensile Stress in Bolt*pi/4*Core Diameter of Bolt^2

Stiffness of Bolt given Thickness of Parts Joined by Bolt Formula

​LaTeX ​Go
Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts Held Together by Bolt)
kb' = (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 kb' 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 kb' = (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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