Enter the stress and strain into the calculator to determine the modulus of toughness. This calculator helps in assessing the total energy absorption capacity of a material until fracture.
Modulus Of Toughness Formula
The following formula is used to calculate the modulus of toughness:
MT = 0.5 * σ * ε
Variables:
- MT is the modulus of toughness (MPa)
- σ is the stress (MPa)
- ε is the strain (dimensionless)
To calculate the modulus of toughness, multiply half the stress by the strain. The result represents the area under the stress-strain curve, which indicates the energy per unit volume that a material can absorb before rupturing.
What is Modulus Of Toughness?
The modulus of toughness is an indicator of a material’s ability to absorb energy up to the point of fracture. It is defined as the area under the stress-strain curve from the origin to the point of fracture. This property is crucial in applications where materials are subjected to impact and must not fail catastrophically.
How to Calculate Modulus Of Toughness?
The following steps outline how to calculate the Modulus Of Toughness.
- First, determine the maximum stress (σ) the material can withstand before fracture, measured in MPa.
- Next, determine the strain (ε) at the point of fracture, which is dimensionless.
- Use the formula MT = 0.5 * σ * ε to calculate the modulus of toughness.
- Finally, calculate the Modulus Of Toughness (MT) in MPa.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
maximum stress (σ) = 300 MPa
strain (ε) at fracture = 0.02
