Euler’s buckling formula can be expressed as pcr = π2ei(kl)2 where pcr is the critical buckling load, e is the column’s young’s modulus, i is the column’s moment of inertia, and l is the column’s length. derived using a quantity called effective length, the constant k depends upon the column’s end conditions.
this problem will compare various end conditions of a slender column under compression. the studied column has a length of l = 2 meters, and its square cross-section has a side length of b = 7 centimeters. the material is a grade of steel with e = 200 gpa and σy = 500 mpa. what is the column’s critical buckling load in meganewtons (mn)? (you must provide an answer before moving to the next part.)the column's critical buckling load is mn.