Stress Intensity factor for cracked plate Calculator

✖Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.ⓘ Tensile Stress at Crack Edge [σ]			+10% -10%
✖Half Crack Length represents half of the length of a surface crack.ⓘ Half Crack Length [a]			+10% -10%

✖Stress Intensity Factor specifies the stress intensity at the tip of the crack.ⓘ Stress Intensity factor for cracked plate [K_o]

⎘ Copy

👎

Formula

✖

Stress Intensity factor for cracked plate

Formula

`"K"_{"o"} = "σ"*(sqrt(pi*"a"))`

Example

`"4.854065MPa*sqrt(m)"="50N/mm²"*(sqrt(pi*"3mm"))`

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF

Stress Intensity factor for cracked plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length))
K_o = σ*(sqrt(pi*a))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Stress Intensity Factor - (Measured in Pascal sqrt(meter)) - Stress Intensity Factor specifies the stress intensity at the tip of the crack.
Tensile Stress at Crack Edge - (Measured in Pascal) - Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.
Half Crack Length - (Measured in Meter) - Half Crack Length represents half of the length of a surface crack.

STEP 1: Convert Input(s) to Base Unit

Tensile Stress at Crack Edge: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Half Crack Length: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_o = σ*(sqrt(pi*a)) --> 50000000*(sqrt(pi*0.003))

Evaluating ... ...

K_o = 4854064.78138925

STEP 3: Convert Result to Output's Unit

4854064.78138925 Pascal sqrt(meter) -->4.85406478138925 Megapascal sqrt(meter) (Check conversion here)

FINAL ANSWER

4.85406478138925 ≈ 4.854065 Megapascal sqrt(meter) <-- Stress Intensity Factor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Fracture Mechanics » Stress Intensity factor for cracked plate

Credits

Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 10+ Fracture Mechanics Calculators

Fracture toughness given tensile stress at edge of crack

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*(Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)))

Nominal tensile stress at edge of crack given fracture toughness

Go Tensile Stress at Crack Edge = (Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/sqrt(pi*Half Crack Length)

Half crack length given fracture toughness

Go Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi

Nominal tensile stress at edge of crack given stress intensity factor

Go Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length)

Stress Intensity factor for cracked plate

Go Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length))

Thickness of plate given nominal tensile stress at edge of crack

Go Thickness of Cracked Plate = Load on cracked plate/((Tensile Stress at Crack Edge)*(Width of Plate))

Width of plate given nominal tensile stress at edge of crack

Go Width of Plate = (Load on cracked plate/((Tensile Stress at Crack Edge)*Thickness of Cracked Plate))

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

Go Tensile Stress at Crack Edge = Load on cracked plate/(Width of Plate*Thickness of Cracked Plate)

Half crack length given stress intensity factor

Go Half Crack Length = ((Stress Intensity Factor/Tensile Stress at Crack Edge)^2)/pi

Fracture toughness given stress intensity factor

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Stress Intensity Factor

Stress Intensity factor for cracked plate Formula

Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length))
K_o = σ*(sqrt(pi*a))

What Does Fracture Toughness Mean?

In metallurgy, fracture toughness refers to a property that describes the ability of a material containing a crack to resist further fracture. Fracture toughness is a quantitative way of expressing a material's resistance to brittle fracture when a crack is present. If the material has high fracture toughness, it is more prone to ductile fracture. Brittle fracture is characteristic of materials with less fracture toughness.
Fracture toughness values may serve as a basis for:
Material comparison
Selection
Structural flaw tolerance assessment
Quality assurance

How to Calculate Stress Intensity factor for cracked plate?

Stress Intensity factor for cracked plate calculator uses Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)) to calculate 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 calculate Stress Intensity factor for cracked plate using this online calculator? To use this online calculator for Stress Intensity factor for cracked plate, enter Tensile Stress at Crack Edge (σ) & Half Crack Length (a) and hit the calculate button. Here is how the Stress Intensity factor for cracked plate calculation can be explained with given input values -> 4.9E-6 = 50000000*(sqrt(pi*0.003)).

FAQ

What is Stress Intensity factor for cracked plate?

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 and is represented as K_o = σ*(sqrt(pi*a)) or Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)). Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member & Half Crack Length represents half of the length of a surface crack.

How to calculate Stress Intensity factor for cracked plate?

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 is calculated using Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)). To calculate Stress Intensity factor for cracked plate, you need Tensile Stress at Crack Edge (σ) & Half Crack Length (a). With our tool, you need to enter the respective value for Tensile Stress at Crack Edge & Half Crack Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search