1. The “Gamma Method” (Flexible Bond Theory)
Unlike solid concrete slabs, CLT layers are connected by cross-layers that deform under shear. This “slip” reduces the effective stiffness of the panel.
Our calculator uses the Gamma Method (γ-method) (Annex B of Eurocode 5) or the Shear Analogy Method to accurately calculate the effective bending stiffness (EIeff). Ignoring this shear deformation can lead to dangerous under-estimation of deflection.
2. Vibration: The Design Driver
For long-span residential floors, strength is rarely the problem—comfort is.
The calculator performs a specialized Vibration Check based on Eurocode 5 recommendations. It verifies:
- Fundamental Frequency (f1): Ensuring the floor is “stiff” enough to avoid resonance (typically > 8Hz).
- Unit Impulse Velocity (v): Ensuring footfalls don’t cause annoying tremors.
- Stiffness criterion (w1kN): Limiting deflection under a static 1kN point load.
3. Rolling Shear Verification
The cross-layers in CLT are loaded perpendicular to the grain, where wood is weakest. This stress is called Rolling Shear.
Common in short, heavily loaded spans (or near supports), rolling shear failure can occur before bending failure. This tool automatically checks the shear stress (τroll) at the neutral axis of every cross-layer.