A steel bar with a cross sectional area of 25cm2 is found to shear fracture when subjected to a tensile load of 400kN. calculate the limiting shear stress of the bar.
To calculate the limiting shear stress of the steel bar, you need to use the formula:
Shear Stress = Force / Area
The given tensile load of 400 kN should be converted to Newtons (N) because shear stress is typically measured in Newtons per square meter (Pa or N/m^2). 1 kN is equal to 1000 N.
First, convert the cross-sectional area from cm^2 to m^2:
Area = 25 cm^2 × (1 m / 100 cm)^2 = 0.0025 m^2
Then, convert the tensile load from kN to N:
Force = 400 kN × 1000 N / 1 kN = 400,000 N
Now you can calculate the limiting shear stress:
Shear Stress = 400,000 N / 0.0025 m^2 = 160,000,000 N/m^2
Therefore, the limiting shear stress of the steel bar is 160,000,000 N/m^2 or 160 MPa (megapascals).