Tensile Force on Bolt in Tension Calculator

✖Core Diameter of Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.ⓘ Core Diameter of Bolt [d_c]			+10% -10%
✖Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.ⓘ Tensile Yield Strength of Bolt [S_yt]			+10% -10%
✖Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.ⓘ Factor of Safety of Bolted Joint [f_s]			+10% -10%

✖Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.ⓘ Tensile Force on Bolt in Tension [P_tb]

⎘ Copy

👎

Formula

✖

Tensile Force on Bolt in Tension

Formula

`"P"_{"tb"} = pi/4*"d"_{"c"}^2*"S"_{"yt"}/"f"_{"s"}`

Example

`"10009.11N"=pi/4*("12mm")^2*"265.5N/mm²"/"3"`

Calculator

LaTeX

Reset

👍

Download Load and Strength Characteristics Formulas PDF

Tensile Force on Bolt in Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint
P_tb = pi/4*d_c^2*S_yt/f_s
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tensile Force in Bolt - (Measured in Newton) - Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.
Core Diameter of Bolt - (Measured in Meter) - Core Diameter of Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.
Tensile Yield Strength of Bolt - (Measured in Pascal) - Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.
Factor of Safety of Bolted Joint - Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Core Diameter of Bolt: 12 Millimeter --> 0.012 Meter (Check conversion here)
Tensile Yield Strength of Bolt: 265.5 Newton per Square Millimeter --> 265500000 Pascal (Check conversion here)
Factor of Safety of Bolted Joint: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_tb = pi/4*d_c^2*S_yt/f_s --> pi/4*0.012^2*265500000/3

Evaluating ... ...

P_tb = 10009.1141943371

STEP 3: Convert Result to Output's Unit

10009.1141943371 Newton --> No Conversion Required

FINAL ANSWER

10009.1141943371 ≈ 10009.11 Newton <-- Tensile Force in Bolt

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Threaded Bolted Joints » Load and Strength Characteristics » Tensile Force on Bolt in Tension

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

Tensile Force on Bolt in Tension Formula

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

Define Tensile Strength

Tensile strength, maximum load that a material can support without fracture when being stretched, divided by the original cross-sectional area of the material. Tensile strengths have dimensions of force per unit area and in the English system of measurement are commonly expressed in units of pounds per square inch, often abbreviated to psi.

How to Calculate Tensile Force on Bolt in Tension?

Tensile Force on Bolt in Tension calculator uses Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint to calculate the Tensile Force in Bolt, Tensile Force on Bolt in Tension formula is defined as the tensile force that will produce a certain amount of permanent deformation within a specific fastener. Tensile Force in Bolt is denoted by P_tb symbol.

How to calculate Tensile Force on Bolt in Tension using this online calculator? To use this online calculator for Tensile Force on Bolt in Tension, enter Core Diameter of Bolt (d_c), Tensile Yield Strength of Bolt (S_yt) & Factor of Safety of Bolted Joint (f_s) and hit the calculate button. Here is how the Tensile Force on Bolt in Tension calculation can be explained with given input values -> 10009.11 = pi/4*0.012^2*265500000/3.

FAQ

What is Tensile Force on Bolt in Tension?

Tensile Force on Bolt in Tension formula is defined as the tensile force that will produce a certain amount of permanent deformation within a specific fastener and is represented as P_tb = pi/4*d_c^2*S_yt/f_s or Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint. Core Diameter of Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread, Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions & Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.

How to calculate Tensile Force on Bolt in Tension?

Tensile Force on Bolt in Tension formula is defined as the tensile force that will produce a certain amount of permanent deformation within a specific fastener is calculated using Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint. To calculate Tensile Force on Bolt in Tension, you need Core Diameter of Bolt (d_c), Tensile Yield Strength of Bolt (S_yt) & Factor of Safety of Bolted Joint (f_s). With our tool, you need to enter the respective value for Core Diameter of Bolt, Tensile Yield Strength of Bolt & Factor of Safety of Bolted Joint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Tensile Force in Bolt?

In this formula, Tensile Force in Bolt uses Core Diameter of Bolt, Tensile Yield Strength of Bolt & Factor of Safety of Bolted Joint. We can use 2 other way(s) to calculate the same, which is/are as follows -

Tensile Force in Bolt = Maximum Tensile Stress in Bolt*pi/4*Core Diameter of Bolt^2
Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint

Home

FREE PDFs

🔍 Search