Stress strain diagram of mild steel -- gauge length made half

In summary, the stress strain diagram obtained from a tensile test on a universal testing machine shows the relationship between stress and strain for a material. The modulus of elasticity is a material property that remains constant until the proportional limit, which means there is no need for rescaling until then. The gauge length affects the average number of voids, causing some variations in the yield point region. The region between the proportional limit and elastic limit, as well as the process of necking, are unknown. The slopes between the yield point, ultimate stress point, and fracture point remain the same even after changing the gauge length.
  • #1
Ravi Singh choudhary
125
7
All we know the usual stress strain diagram obtained from tensile test from universal testing machine. As modulus of elasticity is material property that means till proportional limit slope will not change. As it is not a force vs elongation curve that means there will be no re-scaling to be done till proportional limit. As the gauge length is made half that means average number of voids made half. Consequently it will show some variation in yield point region.

No clue for: (i) region between proportional limit and elastic limit
(ii) necking
(iii) slopes between yield point - ultimate stress point - fracture point
Why ultimate stress and fracture stress coordinate would be same even after this new gauge length?
 
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  • #2
The ultimate stress and fracture stress coordinates will remain the same even after changing the gauge length because the ultimate strength of a material is not affected by the gauge length, but rather by its properties such as composition, heat treatment and microstructure. The fracture stress coordinate is a measure of the maximum load that the material can withstand before it breaks. Therefore, it remains unaffected by the gauge length change.
 

1. What is a stress-strain diagram?

A stress-strain diagram is a graphical representation of how a material responds to stress, or the force applied to it, and strain, or the resulting deformation or change in shape. It shows how the material behaves under increasing amounts of stress, and can provide important information about its strength and elasticity.

2. Why is the gauge length made half in the stress-strain diagram of mild steel?

The gauge length in a stress-strain diagram is typically made half of the total length of the sample to ensure that the material is being tested in the linear elastic range. This means that the material is behaving in a purely elastic manner, where the amount of strain is directly proportional to the amount of stress applied. In the case of mild steel, this is typically the range of stress where the material can be used in structural applications without permanent deformation.

3. How is the stress-strain diagram of mild steel different from other materials?

The stress-strain diagram of mild steel is different from other materials because it has a relatively low yield strength, meaning it can withstand less stress before it starts to deform permanently. It also has a low modulus of elasticity, which means it is relatively flexible and can undergo significant amounts of strain before breaking.

4. What does the slope of the stress-strain curve represent?

The slope of the stress-strain curve, also known as the modulus of elasticity or Young's modulus, represents the stiffness or rigidity of the material. A steeper slope indicates a higher modulus of elasticity, meaning the material is more resistant to deformation under stress.

5. How is the yield strength of mild steel determined from the stress-strain diagram?

The yield strength of mild steel is typically determined by finding the point where the stress-strain curve begins to deviate from a straight line, indicating the onset of permanent deformation. This is known as the yield point or yield strength. It is an important factor to consider when designing structures made of mild steel, as exceeding the yield strength can result in structural failure.

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