JUJUMI工程计算器 · Engineering Calculators

Simply Supported — UDL

Compute max mid-span moment and mid-span deflection of a simply supported beam under full-span UDL.

Inputs

Formula

Mmax = w L²/8; δ = 5 w L⁴/(384 E I)
R_A = R_B = w L / 2; M_max = w L² / 8
Simply Supported — UDL schematic

How to use

  1. Fill in Span L, UDL w, 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, Mid defl. δ in the results area.
Formula notesSimply supported with UDL w, span L: R_A = R_B = w·L/2, M_max = w·L²/8.