JUJUMI工程计算器 · Engineering Calculators

Simply Supported — Point

Compute max bending moment (at the load) and deflection at the load for a simply supported beam with a point load.

Inputs

Formula

Mmax = P a b / L; δ = P a² b²/(3 E I L)
PR_A = R_B = P/2; M_max = P L / 4
Simply Supported — Point schematic

How to use

  1. Fill in Span L, Point load P, Load pos. a, Young's mod. E, Moment of inertia I in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Max moment Mmax, Defl. at load δ in the results area.
Formula notesSimply supported, central point load P, span L: R_A = R_B = P/2, M_max = P·L/4.