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

STEP 0: Pre-Calculation Summary
Formula Used
Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length)
σ = (Ko)/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
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.
Stress Intensity Factor - (Measured in Pascal sqrt(meter)) - Stress Intensity Factor specifies the stress intensity at the tip of the crack.
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
Stress Intensity Factor: 5 Megapascal sqrt(meter) --> 5000000 Pascal sqrt(meter) (Check conversion here)
Half Crack Length: 3 Millimeter --> 0.003 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (Ko)/sqrt(pi*a) --> (5000000)/sqrt(pi*0.003)
Evaluating ... ...
σ = 51503226.9364253
STEP 3: Convert Result to Output's Unit
51503226.9364253 Pascal -->51.5032269364253 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
51.5032269364253 51.50323 Newton per Square Millimeter <-- Tensile Stress at Crack Edge
(Calculation completed in 00.004 seconds)

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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

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

Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length)
σ = (Ko)/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 Nominal tensile stress at edge of crack given stress intensity factor?

Nominal tensile stress at edge of crack given stress intensity factor calculator uses Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length) to calculate the Tensile Stress at Crack Edge, The Nominal tensile stress at edge of crack given stress intensity factor is the amount of tensile stress at the edge of the crack of a plate. Tensile Stress at Crack Edge is denoted by σ symbol.

How to calculate Nominal tensile stress at edge of crack given stress intensity factor using this online calculator? To use this online calculator for Nominal tensile stress at edge of crack given stress intensity factor, enter Stress Intensity Factor (Ko) & Half Crack Length (a) and hit the calculate button. Here is how the Nominal tensile stress at edge of crack given stress intensity factor calculation can be explained with given input values -> 5.2E-5 = (5000000)/sqrt(pi*0.003).

FAQ

What is Nominal tensile stress at edge of crack given stress intensity factor?
The Nominal tensile stress at edge of crack given stress intensity factor is the amount of tensile stress at the edge of the crack of a plate and is represented as σ = (Ko)/sqrt(pi*a) or Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length). Stress Intensity Factor specifies the stress intensity at the tip of the crack & Half Crack Length represents half of the length of a surface crack.
How to calculate Nominal tensile stress at edge of crack given stress intensity factor?
The Nominal tensile stress at edge of crack given stress intensity factor is the amount of tensile stress at the edge of the crack of a plate is calculated using Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length). To calculate Nominal tensile stress at edge of crack given stress intensity factor, you need Stress Intensity Factor (Ko) & Half Crack Length (a). With our tool, you need to enter the respective value for Stress Intensity Factor & Half Crack Length 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 Stress at Crack Edge?
In this formula, Tensile Stress at Crack Edge uses Stress Intensity Factor & Half Crack Length. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tensile Stress at Crack Edge = Load on cracked plate/(Width of Plate*Thickness of Cracked Plate)
  • Tensile Stress at Crack Edge = (Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/sqrt(pi*Half Crack Length)
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