Thickness of Parts Held Together by Bolt given Stiffness of 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 Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.ⓘ Stiffness of Bolt [k_b']			+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.ⓘ Thickness of Parts Held Together by Bolt given Stiffness of Bolt [l]

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Formula

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Thickness of Parts Held Together by Bolt given Stiffness of Bolt

Formula

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

Example

`"115.3941mm"=(pi*("15mm")^2*"207000N/mm²")/(4*"3.17E^5N/mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Stiffness of Bolt: 317000 Newton per Millimeter --> 317000000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = (pi*d^2*E)/(4*k_b') --> (pi*0.015^2*207000000000)/(4*317000000)

Evaluating ... ...

l = 0.115394067697906

STEP 3: Convert Result to Output's Unit

0.115394067697906 Meter -->115.394067697906 Millimeter (Check conversion here)

FINAL ANSWER

115.394067697906 ≈ 115.3941 Millimeter <-- Total Thickness of Parts held together by Bolt

(Calculation completed in 00.020 seconds)

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

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

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

What is thickness of the Parts Held Together by the Bolt?

The thickness of the Parts Held Together by the Bolt is the combined thickness of the parts being clamped in the joint. It depends upon the length of both parts joining together with the bolt.

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

Thickness of Parts Held Together by Bolt given Stiffness of Bolt calculator uses Total Thickness of Parts held together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of Bolt) to calculate 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 calculate Thickness of Parts Held Together by Bolt given Stiffness of Bolt using this online calculator? To use this online calculator 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. Here is how the Thickness of Parts Held Together by Bolt given Stiffness of Bolt calculation can be explained with given input values -> 115394.1 = (pi*0.015^2*207000000000)/(4*317000000).

FAQ

What is Thickness of Parts Held Together by Bolt given Stiffness of 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 and is represented as l = (pi*d^2*E)/(4*k_b') or Total Thickness of Parts held together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of 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 Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.

How to calculate Thickness of Parts Held Together by Bolt given Stiffness of 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 is calculated using Total Thickness of Parts held together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of Bolt). To calculate Thickness of Parts Held Together by Bolt given Stiffness of Bolt, you need Nominal Bolt Diameter (d), Modulus of Elasticity of Bolt (E) & Stiffness of Bolt (k_b'). With our tool, you need to enter the respective value for Nominal Bolt Diameter, Modulus of Elasticity of Bolt & Stiffness of 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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