Calculate Stress & Strain from Lab Results for Steel

Strain is change in length divided by original length. In summary, to calculate the stress and strain from the lab results, one would need to use the elastic modulus and take into account the change in dimensions of the steel. The max load corresponds to the ultimate tensile strength and stress is calculated by dividing the load by the cross-sectional area. Strain is determined by dividing the change in length by the original length.
  • #1
eluu
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How would i calculate the stress and strain with the results from a lab below:

Steel’s original diameter: 8.00 mm
Steel’s original length: 49.96 mm
Steel’s final diameter: 4.64 mm
Steel’s final length: 63.17 mm
Steel’s maximum load force: 26.43 kN

I also have an MS Excel table of time, laser extensometer (mm) and load (kN) of the steel.

I have no idea where to begin :S
 
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  • #2
Ok don't worry i think i figured it out
 
  • #3
One would need the elastic modulus.

Steel’s original diameter: 8.00 mm
Steel’s original length: 49.96 mm
Steel’s final diameter: 4.64 mm
Steel’s final length: 63.17 mm

Assuming the final dimensions are measured in the unloaded condition, the steel has undergone permanent (plastic deformation) and the max load corresponds to the ultimate tensile strength.

Stress is just load divided by cross-sectional area, which has changed.
 

1. How do you calculate stress and strain for steel?

To calculate stress and strain for steel, you will need to use the following equations: stress = force/area and strain = change in length/original length. First, you will need to measure the force applied to the steel sample and the cross-sectional area of the sample. Then, you will need to record the original length of the sample and measure the change in length after the force is applied. Plug these values into the equations to calculate stress and strain.

2. What units are used to measure stress and strain?

Stress is typically measured in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (N/m^2). Strain is a unitless quantity, as it is the ratio of change in length to original length.

3. Why is it important to calculate stress and strain for steel?

Calculating stress and strain for steel is important because it allows us to understand how the material behaves under different conditions. This information is crucial for designing and constructing structures using steel, as it helps ensure the safety and reliability of the structures.

4. What factors can affect the stress and strain of steel?

Several factors can affect the stress and strain of steel, including the type of steel, the composition and microstructure of the steel, the temperature, and the rate at which the force is applied. Other external factors such as corrosion and environmental conditions can also impact stress and strain.

5. How can stress and strain data be used in materials testing?

The data obtained from calculating stress and strain for steel can be used in materials testing to determine the strength and ductility of the material. This information is important for quality control and material selection in various industries, such as construction, automotive, and aerospace. It can also be used to predict the behavior of steel under different loading conditions and to identify potential failure points in a structure.

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