An aluminum alloy has a modulus E = 72.0 GPa and a proportional limit σPL = 310 MPa. The equation σ = A∈n, where A and n are material constants, accurately approximates the compressive stress-strain diagram for small inelastic strains when it is made to coincide with the stress-strain diagram at the proportional limit and to pass through another test point whose coordinates are σ = 370 MPa and ∈ = 0.00600.
a. Determine values for A and n.
b. A rectangular section column with dimensions 40 mm by 60 mm has fixed ends and is found to buckle at an average stress of PT/A = 345 MPa; find the length L of the column.
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