Structural Analysis Formulas Pdf May 2026

[ \sum F_x = 0 \quad \sum F_y = 0 \quad \sum M_z = 0 ]

Distribution factor at joint: [ DF = \frack_i\sum k ] Rectangle (width (b), height (h)): [ I = \fracb h^312, \quad A = bh ]

Slenderness ratio:

Effective length factors (K):

[ V(x) = -\int w(x) , dx + C_1 ] [ M(x) = \int V(x) , dx + C_2 ] For pure bending of a linear-elastic, homogeneous beam: structural analysis formulas pdf

[ \sigma_x = -\fracM yI ]

In 3D:

[ \tau_\textavg = \fracVQI b ]