Question: A W 410 ( 85 steel column is compressed by a force P = 340 kN acting with an eccentricity e = 38 mm(, as

A W 410 ( 85 steel column is compressed by a force P = 340 kN acting with an eccentricity e = 38 mm(, as shown in the figure. The column has pinned ends and length L. Also,the steel has modulus of elasticity E = 200 GPa and yield stress (Y = 250 MPa.
(a) If the length L = 3 m, what is the maximum compressive stress (max in the column?
(b) If a factor of safety n = 2.0 is required with respect to yielding, what is the longest permissible length Lmax of the column?

P 340 kN38 mm W 410 x 85

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