This section summarizes the measurement units adopted in the data:
Length: mm
Forces: kN
Moment: kN·m
2. Theoretical Background
2.1. Sign Conventions in LIRA-SAPR
The following sign convention has been considered to extract the loads from LIRA-SAPR:
Axial (N):The positive sign of the force determines the tension.
Shear-Y (QY):The positive sign of the force corresponds to the direction of the Y1 local axis for the section at the end of the rod.
Shear-Z (QZ):The positive sign of the force indicates alignment with the direction of the Z1 local axis for the section corresponding to the end of the rod.
Torsion (MX):The positive sign of the force determines the counterclockwise action, seen from the end of axis X1, on the section corresponding to the end of the rod.
Moment-Y (MY):The positive sign of the force determines the lower fibre tension (relative to the Z1 axis direction).
Moment-Z (MZ):The positive sign of the force represents a counterclockwise action when viewed from the end of the Z1 axis on the section corresponding to the end of the rod.
LIRA Forces and Moments
In order to be in accordance with the IDEAStatiCa convention, the following sign rule has been taken into account.
2.2. Conventions in IdeaStatiCa
The following sign conventions are used to represent loads in IdeaStatiCa:
Axial forces (FX):Positive = Along local X axis, Negative = Opposite to local X axis.
Shear forces (FY, FZ)::
Positive = Along respective axis (Y or Z) in the specified direction, Negative = Opposite to the respective axis direction.
Torsion (MX): :
The positive sign of the force determines the counterclockwise action, seen from the end of axis X, on the section corresponding to the end of the member.
Moments (MY, MZ)::
The positive sign of the force represents a counterclockwise action when viewed from the end of the Y or Z axis on the section corresponding to the end of the member.
Axial forces:Positive values indicates tension.
IdeaStatiCa Forces
2.3. Adjustments for Compatibility between LIRA-SAPR and IdeaStatiCa
Changes were made for LIRA-SAPR inputs to ensure the loads are compatible with IdeaStatiCa for further analysis:
Lateral share forces (Fy) shear forces of LIRA-SAPR element must be reversed.
Vertical shear forces (Fz) shear forces at the END of the of LIRA-SAPR element must be reversed.
Vertical bending moment (My) of LIRA-SAPR element must be reversed.
Torsion moment Mx of LIRA-SAPR element must be reversed.
3. Group Naming Convention
Before listing the physical elements and forces, here is a brief explanation of the group prefixes used in this project (e.g., Pb, Pc, Rc, Vb, etc.). Each group name typically consists of a two-letter code plus an integer suffix (e.g., -1, -2). The two-letter code indicates the type of connection or brace, while the suffix increments automatically as new groups are formed.
Prefixes in Use:
Pb: P = Pinned, b = Beam (Pb-1 indicates a pinned-to-beam group).
Pc: P = Pinned, c = Column (Pc-1 indicates a pinned-to-column group).
Vb: Vertical brace.
Hb: Horizontal brace.
C: C = column (standalone column or special column group).
Rc: R = Rigid, c = Column (indicates a rigid-to-column group).
Rb: R = Rigid, b = Beam (indicates a rigid-to-beam group).
Rm: R = Rigid, m = Mixed (one end is a beam and the other is a column).
Mb: M = Mixed, b = Beam (pinned one side, rigid the other).
Mc: M = Mixed, c = Column (pinned one side, rigid the other).
Mm: M-mixed (pinned one side, rigid the other), m-mixed (one end beam and the other is a column).