Tensile Force on Bolt in Shear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint
Ptb = pi*dc*h*Ssy/fs
This formula uses 1 Constants, 5 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.
Height of Nut - (Measured in Meter) - Height of Nut is defined as the height of the nut that is used in fitting to the bolt.
Shear Yield Strength of Bolt - (Measured in Pascal) - Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear.
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)
Height of Nut: 6 Millimeter --> 0.006 Meter (Check conversion here)
Shear Yield Strength of Bolt: 132.6 Newton per Square Millimeter --> 132600000 Pascal (Check conversion here)
Factor of Safety of Bolted Joint: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ptb = pi*dc*h*Ssy/fs --> pi*0.012*0.006*132600000/3
Evaluating ... ...
Ptb = 9997.80446078416
STEP 3: Convert Result to Output's Unit
9997.80446078416 Newton --> No Conversion Required
FINAL ANSWER
9997.80446078416 9997.804 Newton <-- Tensile Force in Bolt
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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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

Tensile Force on Bolt in Shear Formula

Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint
Ptb = pi*dc*h*Ssy/fs

Define Strength of Bolt

Shear strength is defined as the maximum load that can be supported prior to fracture, when applied at a right angle to the fastener's axis. A load occurring in one transverse plane is known as single shear.

How to Calculate Tensile Force on Bolt in Shear?

Tensile Force on Bolt in Shear calculator uses Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint to calculate the Tensile Force in Bolt, Tensile Force on Bolt in Shear formula is defined as the maximum load that can be supported prior to fracture when applied at a right angle to the fastener's axis. A load occurring in one transverse plane is known as single shear. Tensile Force in Bolt is denoted by Ptb symbol.

How to calculate Tensile Force on Bolt in Shear using this online calculator? To use this online calculator for Tensile Force on Bolt in Shear, enter Core Diameter of Bolt (dc), Height of Nut (h), Shear Yield Strength of Bolt (Ssy) & Factor of Safety of Bolted Joint (fs) and hit the calculate button. Here is how the Tensile Force on Bolt in Shear calculation can be explained with given input values -> 9997.804 = pi*0.012*0.006*132600000/3.

FAQ

What is Tensile Force on Bolt in Shear?
Tensile Force on Bolt in Shear formula is defined as the maximum load that can be supported prior to fracture when applied at a right angle to the fastener's axis. A load occurring in one transverse plane is known as single shear and is represented as Ptb = pi*dc*h*Ssy/fs or Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear 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, Height of Nut is defined as the height of the nut that is used in fitting to the bolt, Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear & 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 Shear?
Tensile Force on Bolt in Shear formula is defined as the maximum load that can be supported prior to fracture when applied at a right angle to the fastener's axis. A load occurring in one transverse plane is known as single shear is calculated using Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint. To calculate Tensile Force on Bolt in Shear, you need Core Diameter of Bolt (dc), Height of Nut (h), Shear Yield Strength of Bolt (Ssy) & Factor of Safety of Bolted Joint (fs). With our tool, you need to enter the respective value for Core Diameter of Bolt, Height of Nut, Shear 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, Height of Nut, Shear 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/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint
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