First Differential Equation for Determining Critical Buckling Load

Differential Equation Moment and N*w(x)

- M (x) + N \cdot w (x) = 0

w'' (x) \cdot E I + N \cdot w (x) = 0 | \div (E I)

w'' (x) + \frac{N}{E I} \cdot w (x) = 0

M(x)	Inner moment at each x-location
N	Acting compressive axial force
w(x)	Deflection/displacement at any location x
E	Modulus of elasticity
I	Second moment of area

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