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Theoretical background
First the section is in pure compressions, then it will be over-reinforced until it reaches the point where it is balanced designed. After the point of balanced design the section will reach pure bending, then under-reinforced and finally will be in pure tension.
Generally the interaction diagram is used to find the capacities for the checked cross-section. The searching of capacities depends on used method for finding intersection with interaction diagram. This method can be the following:
- NRd - the bending moment My and Mz are constant and the intersections are searched in the vertical direction
- MRd - the normal force N is constant and the intersections are searched in horizontal direction
- NRdMRd - the used eccentricity is constant and the intersections are searched in direction of constant eccentricity
- MRdy - the bending moment around z axis and normal force are constant and the intersections are searched in horizontal direction in plane N-My
- MRdz - the bending moment around y axis and normal force are constant and the intersections are searched in vertical direction in plane N-Mz
See the example of interaction diagram sections for particular method type:
Method NRd: (My and Mz are constant)
Vertical section N-My
Vertical section N-Mz
Vertical section N-Mres
Horizontal section My-Mz
Method MRd: (N is constant)
Vertical section N-Mres
Horizontal section My-Mz
Method NRdMRd: (eccentricity = constant)
Vertical section N-Mres
Horizontal section My-Mz
Method MRdy: (Mz and N are constant)
Vertical section N-My
Horizontal section My-Mz
Method MRdz: (My and N are constant)
Vertical section N-Mz
Horizontal section My-Mz
Output values
There are presented the following output values:
- UC - unity check of interaction diagram
- NRd+ - normal force resistance (maximal positive values)
- MRdy+ - bending moment (My) resistance (maximal positive values)
- MRdz+ - bending moment (Mz) resistance (maximal positive values)
- NRd- - normal force resistance (minimal negative values)
- MRdy- - bending moment (My) resistance (minimal negative values)
- MRdz- - bending moment (Mz) resistance (minimal negative values)
- MRdz+ - bending moment (Mz) resistance (maximal positive values)
- NEd - design value of normal force
- MEdy - design value of bending moment (My)
- MEdz- - design value of bending moment (Mz)
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