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Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Formula

GoTensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength Formula

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Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force. Check FAQs

σ t = \frac{P}{\frac{π}{4} \cdot {d c'}^{2}}

σ_t - Tensile Stress in Bolt?P - Tensile Force on Bolt?d_c' - Core Diameter of Threaded Bolt?π - Archimedes' constant?

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Example

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Here is how the Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter equation looks like with Values.

Here is how the Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter equation looks like with Units.

Here is how the Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter equation looks like.

496.9599 = \frac{28200}{\frac{3.1416}{4} \cdot {8.5}^{2}}

496.9599N/mm² = \frac{28200N}{\frac{3.1416}{4} \cdot {8.5mm}^{2}}

496.9599 = \frac{28200}{\frac{3.1416}{4} \cdot {8.5}^{2}}

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Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Solution

Follow our step by step solution on how to calculate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

FIRST Step Consider the formula

σ t = \frac{P}{\frac{π}{4} \cdot {d c'}^{2}}

Next Step Substitute values of Variables

∴

σ t = \frac{28200N}{\frac{π}{4} \cdot {8.5mm}^{2}}

Next Step Substitute values of Constants

∴

σ t = \frac{28200N}{\frac{3.1416}{4} \cdot {8.5mm}^{2}}

Next Step Convert Units

∴

σ t = \frac{28200N}{\frac{3.1416}{4} \cdot {0.0085m}^{2}}

Next Step Prepare to Evaluate

∴

σ t = \frac{28200}{\frac{3.1416}{4} \cdot {0.0085}^{2}}

Next Step Evaluate

∴

σ t = 496959933.031579Pa

Next Step Convert to Output's Unit

∴

σ t = 496.959933031579N/mm²

LAST Step Rounding Answer

∴

σ t = 496.9599N/mm²

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Formula Elements

Variables

Constants

Tensile Stress in Bolt

Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

Symbol: σ_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress in Bolt

Tensile Force on Bolt

The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force on Bolt

Core Diameter of Threaded Bolt

Core Diameter of Threaded 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.

Symbol: d_c'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core Diameter of Threaded Bolt

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Tensile Stress in Bolt

Go Tensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength

σ t = \frac{σ yt}{f s}

Other formulas in Structural Response and Force Analysis category

Go Tensile Stress Area of Threaded fastener

A = \frac{π}{4} \cdot {(\frac{d p + d c}{2})}^{2}

Go Tensile Force acting on Bolt given Tensile Stress

P = σ t \cdot π \cdot \frac{{d c'}^{2}}{4}

Go Tensile Yield Strength of Bolt

σ yt = f s \cdot σ t

Go Shear Stress at Core Diameter of Threaded Fastener given Tensile Force

𝜏 = \frac{P}{π \cdot d c' \cdot h n}

How to Evaluate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter evaluator uses Tensile Stress in Bolt = Tensile Force on Bolt/(pi/4*Core Diameter of Threaded Bolt^2) to evaluate the Tensile Stress in Bolt, Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter is calculated by dividing the tensile force by the cross-sectional area of the core. The core area is based on the core diameter, which is the diameter of the bolt's internal section where the stress is considered. Tensile Stress in Bolt is denoted by σ_t symbol.

How to evaluate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter using this online evaluator? To use this online evaluator for Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter, enter Tensile Force on Bolt (P) & Core Diameter of Threaded Bolt (d_c') and hit the calculate button.

FAQs on Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

What is the formula to find Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

The formula of Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter is expressed as Tensile Stress in Bolt = Tensile Force on Bolt/(pi/4*Core Diameter of Threaded Bolt^2). Here is an example- 0.000497 = 28200/(pi/4*0.0085^2).

How to calculate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

With Tensile Force on Bolt (P) & Core Diameter of Threaded Bolt (d_c') we can find Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter using the formula - Tensile Stress in Bolt = Tensile Force on Bolt/(pi/4*Core Diameter of Threaded Bolt^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Tensile Stress in Bolt?

Here are the different ways to Calculate Tensile Stress in Bolt-

Tensile Stress in Bolt=Tensile Yield Strength of Bolt/Factor of Safety For Bolt

Can the Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter be negative?

No, the Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter, measured in Stress cannot be negative.

Which unit is used to measure Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter can be measured.

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Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Formula

​GoTensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength Formula

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Example

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Solution

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Formula Elements

Other Formulas to find Tensile Stress in Bolt

Other formulas in Structural Response and Force Analysis category

How to Evaluate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

FAQs on Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

Variable Name

GoTensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength Formula