Formulas [best] — Kleinlogel Beam

Most modern tables ignore support settlement. Kleinlogel explicitly provides formulas for (e.g., a support sinking by $\Delta$).

The Kleinlogel beam formulas can be categorized based on the type of loading condition. Here are some of the most commonly used formulas: kleinlogel beam formulas

Kleinlogel’s genius was to recognize that many common structural configurations—fixed-end beams, propped cantilevers, two-span continuous beams, three-span symmetrical beams, and simple portal frames—could be solved once in closed form. He compiled the results into extensive tables. His most famous work, (Frame Formulas), provided influence lines, moment coefficients, and deflection formulas for dozens of standard cases. Most modern tables ignore support settlement