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Stress Intensity factor for cracked plate Formula

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Stress Intensity Factor specifies the stress intensity at the tip of the crack. Check FAQs

K o = σ \cdot (\sqrt{π \cdot a})

K_o - Stress Intensity Factor?σ - Tensile Stress at Crack Edge?a - Half Crack Length?π - Archimedes' constant?

Stress Intensity factor for cracked plate Example

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Here is how the Stress Intensity factor for cracked plate equation looks like with Values.

Here is how the Stress Intensity factor for cracked plate equation looks like with Units.

Here is how the Stress Intensity factor for cracked plate equation looks like.

4.8541 = 50 \cdot (\sqrt{3.1416 \cdot 3})

4.8541MPa*sqrt(m) = 50N/mm² \cdot (\sqrt{3.1416 \cdot 3mm})

4.8541 = 50 \cdot (\sqrt{3.1416 \cdot 3})

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Stress Intensity factor for cracked plate Solution

Follow our step by step solution on how to calculate Stress Intensity factor for cracked plate?

FIRST Step Consider the formula

K o = σ \cdot (\sqrt{π \cdot a})

Next Step Substitute values of Variables

∴

K o = 50N/mm² \cdot (\sqrt{π \cdot 3mm})

Next Step Substitute values of Constants

∴

K o = 50N/mm² \cdot (\sqrt{3.1416 \cdot 3mm})

Next Step Convert Units

∴

K o = 5E+7Pa \cdot (\sqrt{3.1416 \cdot 0.003m})

Next Step Prepare to Evaluate

∴

K o = 5E+7 \cdot (\sqrt{3.1416 \cdot 0.003})

Next Step Evaluate

∴

K o = 4854064.78138925Pa*sqrt(m)

Next Step Convert to Output's Unit

∴

K o = 4.85406478138925MPa*sqrt(m)

LAST Step Rounding Answer

∴

K o = 4.8541MPa*sqrt(m)

Stress Intensity factor for cracked plate Formula Elements

Variables

Constants

Functions

Stress Intensity Factor

Stress Intensity Factor specifies the stress intensity at the tip of the crack.

Symbol: K_o

Measurement: Fracture ToughnessUnit: MPa*sqrt(m)

Note: Value should be greater than 0.

Formulas to find Stress Intensity Factor

Tensile Stress at Crack Edge

Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.

Symbol: σ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress at Crack Edge

Half Crack Length

Half Crack Length represents half of the length of a surface crack.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Half Crack Length

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Fracture Mechanics category

Go Nominal tensile stress at edge of crack given stress intensity factor

σ = \frac{K o}{\sqrt{π \cdot a}}

Go Half crack length given stress intensity factor

a = \frac{{(\frac{K o}{σ})}^{2}}{π}

Go Nominal tensile stress at edge of crack given load, plate thickness and plate width

σ = \frac{L}{w \cdot t}

Go Thickness of plate given nominal tensile stress at edge of crack

t = \frac{L}{(σ) \cdot (w)}

How to Evaluate Stress Intensity factor for cracked plate?

Stress Intensity factor for cracked plate evaluator uses Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)) to evaluate the Stress Intensity Factor, Stress Intensity factor for cracked plate is used in the field of fracture mechanics. It predicts stress intensity near the tip of a crack caused by a remote load or residual stresses. Stress Intensity Factor is denoted by K_o symbol.

How to evaluate Stress Intensity factor for cracked plate using this online evaluator? To use this online evaluator for Stress Intensity factor for cracked plate, enter Tensile Stress at Crack Edge (σ) & Half Crack Length (a) and hit the calculate button.

FAQs on Stress Intensity factor for cracked plate

What is the formula to find Stress Intensity factor for cracked plate?

The formula of Stress Intensity factor for cracked plate is expressed as Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)). Here is an example- 4.9E-6 = 50000000*(sqrt(pi*0.003)).

How to calculate Stress Intensity factor for cracked plate?

With Tensile Stress at Crack Edge (σ) & Half Crack Length (a) we can find Stress Intensity factor for cracked plate using the formula - Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Stress Intensity factor for cracked plate be negative?

No, the Stress Intensity factor for cracked plate, measured in Fracture Toughness cannot be negative.

Which unit is used to measure Stress Intensity factor for cracked plate?

Stress Intensity factor for cracked plate is usually measured using the Megapascal sqrt(meter)[MPa*sqrt(m)] for Fracture Toughness. Pascal sqrt(meter)[MPa*sqrt(m)] are the few other units in which Stress Intensity factor for cracked plate can be measured.

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Stress Intensity factor for cracked plate Formula

Stress Intensity factor for cracked plate Example

Stress Intensity factor for cracked plate Solution

Stress Intensity factor for cracked plate Formula Elements

Other formulas in Fracture Mechanics category

How to Evaluate Stress Intensity factor for cracked plate?

FAQs on Stress Intensity factor for cracked plate

Variable Name