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Calculate the tensile strain developed in a rod of length 100 mm on application of an axial tensile load of 10kN. The final length of the rod after the application of the load is 100. 1mm.
- a)0.1
- b)0.01
- c)0.001
- d)0
Correct answer is option 'C'. Can you explain this answer?
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To calculate the tensile strain developed in the rod, we can use the formula:
Tensile Strain = (Change in Length) / (Original Length)
Given:
Original Length (L) = 100 mm
Axial Tensile Load (F) = 10 kN
Final Length (L') = 100.1 mm
1. Convert the units:
Since the load is given in kilonewtons (kN), we need to convert it to newtons (N) by multiplying it by 1000:
F = 10 kN = 10,000 N
2. Calculate the change in length:
Change in Length (ΔL) = Final Length (L') - Original Length (L)
ΔL = 100.1 mm - 100 mm = 0.1 mm
3. Convert the change in length to meters:
Since the strain is a dimensionless quantity, we need to ensure that the length values are in the same unit. Therefore, we convert the change in length from millimeters (mm) to meters (m):
ΔL = 0.1 mm = 0.1/1000 m = 0.0001 m
4. Calculate the tensile strain:
Tensile Strain = ΔL / L
Tensile Strain = 0.0001 m / 0.1 m = 0.001
Therefore, the tensile strain developed in the rod is 0.001 or 0.1%. The correct answer is option 'c'.
Tensile Strain = (Change in Length) / (Original Length)
Given:
Original Length (L) = 100 mm
Axial Tensile Load (F) = 10 kN
Final Length (L') = 100.1 mm
1. Convert the units:
Since the load is given in kilonewtons (kN), we need to convert it to newtons (N) by multiplying it by 1000:
F = 10 kN = 10,000 N
2. Calculate the change in length:
Change in Length (ΔL) = Final Length (L') - Original Length (L)
ΔL = 100.1 mm - 100 mm = 0.1 mm
3. Convert the change in length to meters:
Since the strain is a dimensionless quantity, we need to ensure that the length values are in the same unit. Therefore, we convert the change in length from millimeters (mm) to meters (m):
ΔL = 0.1 mm = 0.1/1000 m = 0.0001 m
4. Calculate the tensile strain:
Tensile Strain = ΔL / L
Tensile Strain = 0.0001 m / 0.1 m = 0.001
Therefore, the tensile strain developed in the rod is 0.001 or 0.1%. The correct answer is option 'c'.
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Calculate the tensile strain developed in a rod of length 100 mm on application of an axial tensile load of 10kN. The final length of the rod after the application of the load is 100. 1mm.a)0.1b)0.01c)0.001d)0Correct answer is option 'C'. Can you explain this answer?
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