Structural Analysis Formulas: Pdf

Integral forms:

| End condition | (K) | |---------------|-------| | Pinned-pinned | 1.0 | | Fixed-free | 2.0 | | Fixed-pinned | 0.7 | | Fixed-fixed | 0.5 | structural analysis formulas pdf

[ 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: Integral forms: | End condition | (K) |

[ \fracdVdx = -w(x) \quad \textand \quad \fracdMdx = V(x) ] \quad A = \pi r^2 ]

[ \tau_\textmax = \frac3V2A ] Critical load for a slender, pin-ended column:

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

(radius (r)): [ I = \frac\pi r^44, \quad A = \pi r^2 ]