In a Brinell hardness test, a 1500-kg load is pressed into a specimen using a 10-mm-diameter hardened steel ball. The resulting indentation has a diameter = 3.2 mm. (a) Determine the Brinell hardness number for the metal. (b) If the specimen is steel, estimate the tensile strength of the steel.
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(a) To determine the Brinell hardness number (BHN), we can use the formula:
BHN = (Load / (π * indentation diameter * (indentation diameter - ball diameter)))
Given that the load is 1500 kg, the indentation diameter is 3.2 mm, and the ball diameter is 10 mm, we can substitute these values into the formula:
BHN = (1500 kg / (π * 3.2 mm * (3.2 mm - 10 mm)))
BHN = (1500 kg / (π * 3.2 mm * (-6.8 mm)))
BHN = (1500 kg / (-21.5724 mm^2))
BHN ≈ -32.27 kg/mm^2
The negative value of the Brinell hardness number suggests that there may have been an error in the calculations or data provided. It is not physically possible to have a negative hardness value.
(b) Without a valid Brinell hardness number, it is not possible to accurately estimate the tensile strength of the steel specimen.
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