Young's Modulus of Bolt given Stiffness of Bolt Calculator

✖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.ⓘ Total Thickness of Parts held together by Bolt [l]			+10% -10%
✖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.ⓘ Young's Modulus of Bolt given Stiffness of Bolt [E]

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Formula

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Young's Modulus of Bolt given Stiffness of Bolt

Formula

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

Example

`"206293.1N/mm²"=("3.17E^5N/mm"*"115mm"*4)/(("15mm")^2*pi)`

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Young's Modulus of Bolt given Stiffness of Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Bolt: 317000 Newton per Millimeter --> 317000000 Newton per Meter (Check conversion here)
Total Thickness of Parts held together by Bolt: 115 Millimeter --> 0.115 Meter (Check conversion here)
Nominal Bolt Diameter: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (k_b'*l*4)/(d^2*pi) --> (317000000*0.115*4)/(0.015^2*pi)

Evaluating ... ...

E = 206293100459.202

STEP 3: Convert Result to Output's Unit

206293100459.202 Pascal -->206293.100459202 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

206293.100459202 ≈ 206293.1 Newton per Square Millimeter <-- Modulus of Elasticity of 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 » Young's Modulus of 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

Young's Modulus of Bolt given Stiffness of Bolt Formula

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

What is Modulus of Elasticity?

The Young's Modulus (or Elastic Modulus) describes the relative stiffness of a material, which is measured by the slope of elastic of a stress and strain graph. To be more exact, the physics and numerical values are worked out like this: Young's Modulus = Stress / Strain.

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

Young's Modulus of Bolt given Stiffness of Bolt calculator uses Modulus of Elasticity of Bolt = (Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Nominal Bolt Diameter^2*pi) to calculate 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 calculate Young's Modulus of Bolt given Stiffness of Bolt using this online calculator? To use this online calculator 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. Here is how the Young's Modulus of Bolt given Stiffness of Bolt calculation can be explained with given input values -> 0.206293 = (317000000*0.115*4)/(0.015^2*pi).

FAQ

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

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