[ \fracKLr, \quad r = \sqrt\fracIA ] For a pin-jointed truss in equilibrium at each joint:
[ \sigma_x = -\fracM yI ]
[ \sum F_x = \sum F_y = \sum F_z = 0 ] [ \sum M_x = \sum M_y = \sum M_z = 0 ] Normal stress: structural analysis formulas pdf
| End condition | (K) | |---------------|-------| | Pinned-pinned | 1.0 | | Fixed-free | 2.0 | | Fixed-pinned | 0.7 | | Fixed-fixed | 0.5 | [ \fracKLr, \quad r = \sqrt\fracIA ] For
[ \fracdVdx = -w(x) \quad \textand \quad \fracdMdx = V(x) ] structural analysis formulas pdf
Where: ( V ) = shear force, ( Q ) = first moment of area about neutral axis, ( I ) = moment of inertia, ( b ) = width at the point of interest.
Integral forms: