A tensile test was conducted on a mild steel bar. The diameter and the gauge length of bat was 3 cm and 20 cm respectively. The extension was 0.21 mm. What is the value to strain?
Answers
The diameter and the gauge length of bat was 3cm and 20cm respectively. The extension was 0.21mm. What is the value to strain? Explanation: Strain = dL/L = 0.21/200 = 0.0005.
The value of strain is 1.05 × 10^-3.
Given: The diameter of the bat is 3 cm and the gauge length of the bat is 20 cm.
The extension is 0.21 mm.
To Find: The value of strain.
Solution:
- The term gauge length refers to the original length of a specimen before the tensile test starts.
- Strain is the amount of deformation experienced by the body in the direction of force applied, divided by the initial dimensions of the body. It is a unit-less quantity.
- Amount of strain in a body can be calculated by the formula,
Strain = dL / L ..... (1)
where, dL = small change in length or the extension, L = gauge length.
Coming to the numerical, we are given;
Gauge length = 20 cm = 200 mm
Extension length ( dL ) = 0.21 mm
Putting these values in (1), we get;
Strain = dL / L
= 0.21 / 200
= 1.05 × 10^-3
Hence, the value of strain is 1.05 × 10^-3.
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