Flowchart illustrating the use of the transfer relations for structural analysis of arch structures
| Input | Radius, extensional stiffness, and bending stiffness of the arch, R, EA and EI, and, if applicable, the values and the acting positions of external loads, e.g. point loads, interfacial discontinuities of kinematic variables, dead load, uniform temperature change, ground pressure, etc. |
| (i) | Determine three of the integration constants (ui, vi, θi, Mi, Ni and Vi) from the boundary conditions at the initial cross-section |
| (ii) | Determine the remaining three integration constants from the boundary conditions at the final cross-section |
| (iii) | Evaluate the transfer relations (1) for any cross-sections of interest |
| Output | Kinematic and static variables at any cross-section of interest |
| Input | Radius, extensional stiffness, and bending stiffness of the arch, |
| (i) | Determine three of the integration constants ( |
| (ii) | Determine the remaining three integration constants from the boundary conditions at the final cross-section |
| (iii) | Evaluate the transfer relations (1) for any cross-sections of interest |
| Output | Kinematic and static variables at any cross-section of interest |
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