Answer:
(a) We are asked to compute the Brinell hardness for the given indentation. for HB, where P= 1000 kg, d= 2.3 mm, and D= 10 mm.
Thus, the Brinell hardness is computed as
[tex]HB=2P/\pi D{D-\sqrt{D^2-d^2}[/tex]
[tex]=2*1000hg/\pi (10mm)[10mm-\sqrt{(1000^2-(2.3mm)^2} ][/tex]
(b) This part of the problem calls for us to determine the indentation diameter d which will yield a 270 HB when P= 500 kg.
[tex]d=\sqrt{D^2-[D-\frac{2P}{(HB)\pi D} } ]^2\\=\sqrt{(10mm)^2-[10mm-\frac{2*500}{450( \pi10mm)} } ]^2[/tex]
