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## Factor of Safety When Strength of Bolt in Tension is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength)
N = (pi/4)*(dc^2)*(Syt/TS)
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)
Tensile strength - Tensile strength is the stress at the maximum on the engineering stress–strain curve. The tensile strength is in MegaPascals. (Measured in Megapascal)
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)
Tensile strength: 100 Megapascal --> 100000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (pi/4)*(dc^2)*(Syt/TS) --> (pi/4)*(0.01^2)*(10/100000000)
Evaluating ... ...
N = 7.85398163397448E-12
STEP 3: Convert Result to Output's Unit
7.85398163397448E-12 --> No Conversion Required
7.85398163397448E-12 <-- Factor of safety
(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

### Factor of Safety When Strength of Bolt in Tension is Given Formula

factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength)
N = (pi/4)*(dc^2)*(Syt/TS)

## Define Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design. This is a calculated value and is sometimes referred to, for the sake of clarity, as a realized factor of safety. A constant required value, imposed by law, standard, specification, contract or custom, to which a structure must conform or exceed. This can be referred to as a design factor, design factor of safety or required factor of safety.

## How to Calculate Factor of Safety When Strength of Bolt in Tension is Given?

Factor of Safety When Strength of Bolt in Tension is Given calculator uses factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength) to calculate the Factor of safety, The Factor of Safety When Strength of Bolt in Tension is Given formula is defined as the ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design. Factor of safety and is denoted by N symbol.

How to calculate Factor of Safety When Strength of Bolt in Tension is Given using this online calculator? To use this online calculator for Factor of Safety When Strength of Bolt in Tension is Given, enter Core Diameter (dc), Tensile Yield Strength (Syt) and Tensile strength (TS) and hit the calculate button. Here is how the Factor of Safety When Strength of Bolt in Tension is Given calculation can be explained with given input values -> 7.854E-12 = (pi/4)*(0.01^2)*(10/100000000).

### FAQ

What is Factor of Safety When Strength of Bolt in Tension is Given?
The Factor of Safety When Strength of Bolt in Tension is Given formula is defined as the ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design and is represented as N = (pi/4)*(dc^2)*(Syt/TS) or factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength). 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 Tensile strength is the stress at the maximum on the engineering stress–strain curve. The tensile strength is in MegaPascals.
How to calculate Factor of Safety When Strength of Bolt in Tension is Given?
The Factor of Safety When Strength of Bolt in Tension is Given formula is defined as the ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design is calculated using factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength). To calculate Factor of Safety When Strength of Bolt in Tension is Given, you need Core Diameter (dc), Tensile Yield Strength (Syt) and Tensile strength (TS). With our tool, you need to enter the respective value for Core Diameter, Tensile Yield Strength and Tensile strength 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 Factor of safety?
In this formula, Factor of safety uses Core Diameter, Tensile Yield Strength and Tensile strength. 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 Factor of Safety When Strength of Bolt in Tension is Given calculator used?
Among many, Factor of Safety When Strength of Bolt in Tension is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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