XBeam2D Deflection Calculation
Deflection calculation timber Eurocode
The deflection calculation according to the Eurocode has several parts:
- w-inst : Elastic deflection according with the standard elastic modulus of the timber type due to the dead load.
- w-creep: Deflection due to creep. 1. Deflection due to load combination SLS 6.16b with normal elastic modulus. 2. Deflection due to combination 6.16b with elastic modulus is Emean/(1+kdef). w-creep=2-1.
- w-k: Deflection due to the 6.14 combination(SLS).
- w-fin: w-k + w-creep
- w-add: w-k + w-creep - w-inst
Deflection calculation concrete Eurocode
The physic non-linear properties are used in the calculation using the M-kappa diagram. The stiffness differs per point in the beam due to reinforcement/cracked/non-cracked.
The beam is separated into parts. For each part the non-linear properties are calculated based on the reinforcement and M-kappa diagram. Separate calculation are made for the ULS and SLS.
w-inst : Elastic deflection according with the standard elastic modulus of the timber type due to the dead load.(short term EI)
w-creep: Deflection due to creep. 1. Deflection due to load combination SLS 6.16b with short term EI. 2. Deflection due to combination 6.16b with elastic modulus is long term EI. w-creep = w;qp;long - w;qp;short.
w-k: Deflection due to the 6.14 combination(SLS).
w-fin: w-k + w-creep
w-add: w-k + w-creep - w-inst