// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
eng.beam-deflection-point-load Calculator
Calculates mid-span deflection and end slopes for a simply supported beam under a mid-span point load using the elastic curve equation. Deflection of a simply supported beam at mid-span = PL³/48EI — doubling the span increases deflection eightfold.
Inputs
Load N
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Span M
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
E Gpa
Material stiffness (GPa). Stress divided by strain in the elastic range. Steel: 200 GPa. Aluminium: 70 GPa. Rubber: 0.01–0.1 GPa.
Moment Inertia Cm4
Resistance to rotational acceleration. Mass farther from the axis of rotation increases it — like a spinning skater extending their arms.
Results
max deflection (mm) - midspan
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
max bending moment (N·m)
Internal tendency to bend the beam at a given cross-section (N·m). Maximum bending moment governs beam sizing — the beam must resist bending at the critical section.
L/deflection ratio
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
span/360 limit (mm)
Sample size or count used in the calculation.
δ = PL³/(48EI) - simply supported
Reference formula or conversion factor shown for context.
adequate?
Whether the computed capacity, strength, or resource meets the minimum requirement.