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. 2024 Dec 30;14:31553. doi: 10.1038/s41598-024-82918-2

Table 1.

Design Considerations of truss structures.

The 10-bar truss The 25-bar truss The 37-bar truss The 60-bar truss The 72-bar truss The 120-bar truss The 200-bar truss The 942-bar truss
Design variables (Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
Stress constraints (σmax) in MPa 400
Density (ρ) in kg/m3 7850
Youngs modulus (E) in GPa 200
Size variables Inline graphic,

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-3 m2

Inline graphic

Inline graphic[1, 1.5, 2, …,21]

*1e-1 m2

Loading conditions

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Case 1: Inline graphic

Inline graphic

Case 2: Inline graphic, Inline graphic

Case 3:Inline graphic

Inline graphic

Case 1: Inline graphic

Inline graphic

Case 2:Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic,

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

Inline graphic

At each node: vertical loading:

Section 1;

Inline graphic

Section 2;

Inline graphic

Section 3;

Inline graphic

Lateral loading:

Right-hand side;

Inline graphic

Left-hand side;

Inline graphic

Lateral loading:

Inline graphic