Calculate the safe load using eulers formula, Mechanical Engineering

A 1.5m long column has circular cross-section of 5cm diameter. One of the end of the column is fixed in the position and direction and other end is free. Taking factor of safety as 3, determine the safe load using:

a) Rankine formula ,take yield stress, σc=560 N/mm² and a=1/1600 for pinned ends.

b) Eulers Formula, young modulus for C. I. = 1.2x10⁵ N/mm².

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