Evaluation of the P-Δ (P-Delta) effect in columns and frames using the two-cycle method based on the solution of the beam-column differential equation

P-Delta is a nonlinear phenomenon that results from the consideration of axial loads acting on deformed configuration member structure, usually beam-column. This effect especially significant in slender members, which can undergo large transversal displacements tend to increase bending moment caused by an load P upon them. The P-delta be computed through geometrically analysis, employing Finite Element Method, subdivides each bar frame finite segments known as elements. Since discretization (subdivision) and use iterative schemes (like Newton-Raphson) are sometimes undesirable, for students, avoiding it didactically interesting. work proposes new approach perform simplified analysis using two-cycle method tangent stiffness matrix obtained directly homogeneous solution problem's (beam-column) differential equation. proposed compared traditional uses geometric elastic matrices based cubic (Hermitian) polynomials approximation pseudo (fictitious) lateral method.