Bolt Stress Calculator

✖Nominal bolt diameter is the size most commonly associated with screw threads is the nominal diameter.ⓘ Nominal Bolt Diameter [d_n]			+10% -10%
✖Pitch diameter is the diameter of the basic cylindrical shape on which threads are created.ⓘ Pitch Diameter [d_p]			+10% -10%

✖Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Bolt Stress [f_s]

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Formula

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Bolt Stress

Formula

`"f"_{"s"} = pi/(4*("d"_{"n"}-0.9743*"d"_{"p"})^2)`

Example

`"0.183029N/mm²"=pi/(4*("2.8mm"-0.9743*"5mm")^2)`

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Bolt Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2)
f_s = pi/(4*(d_n-0.9743*d_p)^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress in Bolt - (Measured in Pascal) - Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Nominal Bolt Diameter - (Measured in Meter) - Nominal bolt diameter is the size most commonly associated with screw threads is the nominal diameter.
Pitch Diameter - (Measured in Meter) - Pitch diameter is the diameter of the basic cylindrical shape on which threads are created.

STEP 1: Convert Input(s) to Base Unit

Nominal Bolt Diameter: 2.8 Millimeter --> 0.0028 Meter (Check conversion here)
Pitch Diameter: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = pi/(4*(d_n-0.9743*d_p)^2) --> pi/(4*(0.0028-0.9743*0.005)^2)

Evaluating ... ...

f_s = 183029.041805525

STEP 3: Convert Result to Output's Unit

183029.041805525 Pascal -->0.183029041805525 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.183029041805525 ≈ 0.183029 Newton per Square Millimeter <-- Shear Stress in Bolt

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 9 Stress in Design Calculators

Shear Stress on Circular Fillet Weld Subjected to Torsion

Go Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)

Torsional Shear Stress in Bar

Go Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)

Maximum Bending Stress

Go Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia)

Shear Stress for Long Fillet Weld Subjected to Torsion

Go Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)

Shear Stress in Parallel Fillet Weld

Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Bolt Stress

Go Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2)

Bending Stress in Shaft

Go Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3)

Maximum Bending Stress given Rectangular Section Modulus

Go Maximum Bending Stress = Bending Moment/Rectangular Section Modulus

Bolt Stress Formula

Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2)
f_s = pi/(4*(d_n-0.9743*d_p)^2)

What is stress?

Stress is defined as the force across a small boundary per unit area of that boundary, for all orientations of the boundary. Being derived from a fundamental physical quantity (force) and a purely geometrical quantity.
Unit of stress is N/mm^2

How to Calculate Bolt Stress?

Bolt Stress calculator uses Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2) to calculate the Shear Stress in Bolt, The Bolt Stress formula is defined as is a physical quantity used to measure the critical stress area or the minimum area of the threaded section of a bolt. Shear Stress in Bolt is denoted by f_s symbol.

How to calculate Bolt Stress using this online calculator? To use this online calculator for Bolt Stress, enter Nominal Bolt Diameter (d_n) & Pitch Diameter (d_p) and hit the calculate button. Here is how the Bolt Stress calculation can be explained with given input values -> 1.8E-7 = pi/(4*(0.0028-0.9743*0.005)^2).

FAQ

What is Bolt Stress?

The Bolt Stress formula is defined as is a physical quantity used to measure the critical stress area or the minimum area of the threaded section of a bolt and is represented as f_s = pi/(4*(d_n-0.9743*d_p)^2) or Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2). Nominal bolt diameter is the size most commonly associated with screw threads is the nominal diameter & Pitch diameter is the diameter of the basic cylindrical shape on which threads are created.

How to calculate Bolt Stress?

The Bolt Stress formula is defined as is a physical quantity used to measure the critical stress area or the minimum area of the threaded section of a bolt is calculated using Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2). To calculate Bolt Stress, you need Nominal Bolt Diameter (d_n) & Pitch Diameter (d_p). With our tool, you need to enter the respective value for Nominal Bolt Diameter & Pitch 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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