Thanks you Witold.... Actually i want compare moments and forces axials of my model 2D with the moments and forces resistents (state ultimate limit)

I did not quite understand the question. But, you may want to check the following documents,

- Report FHWA-NHI-10-034 (2009) (open)

- Nowak, A.S., Ghasemi, S.H., 2014. Load and Resistance Factors Calibration for the Tunnels. (NCHRP) 12-89

Regards.

I do not fully understand what exactly is your question, bt i suggest to refer following,;

Article Dynamic Response of Flexible Square Tunnels: Centrifuge Test...

Article Seismic Response of Box-type Tunnels in Soft Soil: Experimen...

Chapter Performance and Seismic Design of Underground Structures

Article Seismic design and analysis of underground structure

Dears Victor and Sadiq,

Thanks you for answer to my question. The goal of my work is find one Analytical Method for calculate Bending Moment and axial forces internals in one ring of tunnel lining in 2D, that allows me to compare with the results obatained of the same ring in 2D from Sap2000.

I found any equations elastic of ITA2000, but i can´t understand this...

Thanks you

Regards

Please check following,

Article Ovaling deformations of circular tunnels under seismic loadi...

There analytical solution of Wang and Penizen, its simple equations that you can find even calculations in the paper. I do not know why you are using SAP, as you can not model soil as a continuum material in SAP. I am not sure that there is any analytical solution for structural forces of circular tunnel with soil springs. I suggest you to use soil vision software ( FEM (PLAXIS, ABAQUS, LS-DYNA, OPENSEES) or FDM (FLAC) ) to compare structural forces with analytical solution.

Thanks you sadiq,

Meyabe i will use after Abaqus, is better!