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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
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## Strength of Bolt in Tension Solution

STEP 0: Pre-Calculation Summary
Formula Used
tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety)
TS = (pi/4)*(dc^2)*(Syt/N)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Core Diameter - Core Diameter is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw. (Measured in Millimeter)
Tensile Yield Strength - Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions. (Measured in Newton per Square Meter)
Factor of safety- Factor of safety expresses how much stronger a system is than it needs to be for an intended load.
STEP 1: Convert Input(s) to Base Unit
Core Diameter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Tensile Yield Strength: 10 Newton per Square Meter --> 10 Pascal (Check conversion here)
Factor of safety: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TS = (pi/4)*(dc^2)*(Syt/N) --> (pi/4)*(0.01^2)*(10/2)
Evaluating ... ...
TS = 0.000392699081698724
STEP 3: Convert Result to Output's Unit
0.000392699081698724 Pascal -->3.92699081698724E-10 Megapascal (Check conversion here)
FINAL ANSWER
3.92699081698724E-10 Megapascal <-- Tensile strength
(Calculation completed in 00.016 seconds)

## < 10+ Bolted Joints Calculators

Core Diameter When Strength of Bolt in Tension is Given
core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety)) Go
Factor of Safety When Strength of Bolt in Tension is Given
factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength) Go
Strength of Bolt in Tension
tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety) Go
Yield Strength in Tension When Strength of Bolt in Tension is Given
tensile_yield_strength = 4*Tensile strength*Factor of safety/(pi*Core Diameter^2) Go
Core Diameter of Bolt When Maximum Tensile Stress in the Bolt is Given
core_diameter = sqrt(Tensile load/((pi/4)*Maximum tensile stress)) Go
Tensile Force When Maximum Tensile Stress in the Bolt is Given
tensile_load = Maximum tensile stress*((pi/4)*Core Diameter^2) Go
Maximum Tensile Stress in the Bolt
max_tensile_stress = Tensile load/((pi/4)*Core Diameter^2) Go
Height of Nut When Shear Area is Given
height_of_nut = Shear Area/(pi*Core Diameter) Go
Core Diameter When Shear Area is Given
core_diameter = Shear Area/pi*Height of Nut Go
Shear Area of a bolted joint
shear_area = pi*Core Diameter*Height of Nut Go

### Strength of Bolt in Tension Formula

tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety)
TS = (pi/4)*(dc^2)*(Syt/N)

## 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 Strength of Bolt in Tension?

Strength of Bolt in Tension calculator uses tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety) to calculate the Tensile strength, The Strength of Bolt in Tension formula is defined as the tensile force that will produce a certain amount of permanent deformation within a specific fastener. Tensile strength and is denoted by TS symbol.

How to calculate Strength of Bolt in Tension using this online calculator? To use this online calculator for Strength of Bolt in Tension, enter Core Diameter (dc), Tensile Yield Strength (Syt) and Factor of safety (N) and hit the calculate button. Here is how the Strength of Bolt in Tension calculation can be explained with given input values -> 3.927E-10 = (pi/4)*(0.01^2)*(10/2).

### FAQ

What is Strength of Bolt in Tension?
The Strength of 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 TS = (pi/4)*(dc^2)*(Syt/N) or tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety). Core Diameter is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw, Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions and Factor of safety expresses how much stronger a system is than it needs to be for an intended load.
How to calculate Strength of Bolt in Tension?
The Strength of 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_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety). To calculate Strength of Bolt in Tension, you need Core Diameter (dc), Tensile Yield Strength (Syt) and Factor of safety (N). With our tool, you need to enter the respective value for Core Diameter, Tensile Yield Strength and Factor of safety 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 strength?
In this formula, Tensile strength uses Core Diameter, Tensile Yield Strength and Factor of safety. We can use 10 other way(s) to calculate the same, which is/are as follows -
• max_tensile_stress = Tensile load/((pi/4)*Core Diameter^2)
• tensile_load = Maximum tensile stress*((pi/4)*Core Diameter^2)
• core_diameter = sqrt(Tensile load/((pi/4)*Maximum tensile stress))
• tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety)
• core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety))
• tensile_yield_strength = 4*Tensile strength*Factor of safety/(pi*Core Diameter^2)
• factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength)
• shear_area = pi*Core Diameter*Height of Nut
• core_diameter = Shear Area/pi*Height of Nut
• height_of_nut = Shear Area/(pi*Core Diameter)
Where is the Strength of Bolt in Tension calculator used?
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