A 4 × 4 wood column has actual dimensions of  in and a least radius of gyration (r) of 1.0...

A 4 × 4 wood column has actual dimensions of  in and a least radius of gyration (r) of 1.01 in. The wood species has a modulus of elasticity of 1 600 000 lb/in. The column has ends that are free to rotate.

(a) Using Euler's column formula, compute the stress (F/A) a 4 × 4 wood column can theoretically develop without failure by buckling at intervals of 10, 12, 14, and 16 ft of column length.

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(b) Compute the maximum load a 4 × 4 wood column can theoretically develop without failure by buckling at intervals of 10, 12, 14, and 16 ft of column length.