Pdf — Structural Analysis Formulas

[ \fracKLr, \quad r = \sqrt\fracIA ] For a pin-jointed truss in equilibrium at each joint:

[ \sum F_x = 0 \quad \sum F_y = 0 \quad \sum M_z = 0 ] structural analysis formulas pdf

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

| Case | Max Deflection (( \delta_\textmax )) | Location | |------|-------------------------------------------|----------| | Cantilever, end load (P) | (\fracPL^33EI) | free end | | Cantilever, uniform load (w) | (\fracwL^48EI) | free end | | Simply supported, center load (P) | (\fracPL^348EI) | center | | Simply supported, uniform load (w) | (\frac5wL^4384EI) | center | | Fixed-fixed, center load (P) | (\fracPL^3192EI) | center | | Fixed-fixed, uniform load (w) | (\fracwL^4384EI) | center | For a prismatic beam (rectangular cross-section approximation): structural analysis formulas pdf