Please conisder flexual AND local buckling possibilities when designing. Do not answer unless considering both.

4. Design a single angle compression member with loads of DL = 50k, LL = 100k, and wind load = 30k. The member is braced every 5' in the weak direction and 10' in the strong direction and with regard to torsion. Steel is Grade 50. Do not exceed required capacity by more than 25%. Note: for all problems, consider all applicable compression failure modes (flexural buckling, flexural-torsional buckling, and local (slender element) buckling failures