A bar is 500mm long and is stressed to 505mm with a force of 50kN . The bar is 10mm in diameter. Calculate the stress
To calculate the stress on the bar, we can use the formula:
Stress = Force / Area
First, let's calculate the area of the bar. Since the bar is in the shape of a cylinder, we can use the formula:
Area = π * (radius)^2
Given that the diameter of the bar is 10mm, we can calculate the radius by dividing the diameter by 2:
Radius = 10mm / 2 = 5mm = 0.005m
Replacing the radius value in the area formula, we get:
Area = π * (0.005m)^2
Area = π * 0.000025m^2
Now let's substitute the given values into the stress formula:
Stress = Force / Area
Stress = 50kN / (π * 0.000025m^2)
To convert the kilonewtons (kN) to newtons (N), we multiply the force by 1000:
Stress = 50kN * 1000N/kN / (π * 0.000025m^2)
Stress = 50,000N / (π * 0.000025m^2)
Finally, we can calculate the stress:
Stress ≈ 636,619,773.88 N/m^2 (rounded to two decimal places)
Therefore, the stress on the bar is approximately 636,619,773.88 N/m^2.