1. The calculation of the structural characteristic coefficient as 1/6 is somewhat inappropriate. This formula only yields accurate results when b/a = bi/ai = 0.5. Although the force values in the original text are not significantly different from those calculated in this article, it's mainly because the ratio of b/a for the main beam (0.444) and bi/ai (0.434) is close to 0.5. However, this does not validate the correctness of the formula used in the original paper.
In the original text, the moment of inertia of the circular steel tube support leg was doubled, which raises questions about whether the formula for the polar moment of inertia was correctly referenced. In conventional design, the stiffness of the main beam is usually several to ten times greater than that of the supporting legs. However, the K value calculated in the original text is unusually small, suggesting both possible errors in formula selection and calculation. It should also be noted that when calculating the K value, the h value should represent the diagonal length of the support leg, not the height of the mast.
2. Calculation of the gantry structure: (1) Moment of inertia of the box-section main beam, Ji; (2) Moment of inertia of the circular tube support leg, J2; (3) Calculation of the coefficient K. In the original text, the formula for the moment of inertia of the box beam section was referenced as J1, which is typically associated with spatial structures. The force analysis and calculations for such structures are generally performed based on two planes: the gantry plane and the support leg plane.
In the plane of the gantry, two working conditions should be considered for a gantry with rigid support legs on both sides. When the gantry is in motion, it should be treated as a statically indeterminate structure, and the corresponding calculation diagram can be found in figure a. When the gantry is at rest, it should be considered a hyperstatically indeterminate structure, and the corresponding calculation diagram is shown in figure b. When analyzing the support legs, a statically indeterminate approach should be applied.
2.1 Strength check of the main beam
It is essential to ensure that the main beam's strength is evaluated under various loading conditions, including both static and dynamic scenarios. The stress distribution within the beam must be carefully analyzed to prevent failure due to bending, shear, or torsion. Additionally, the material properties and safety factors should be taken into account during the strength check to ensure the overall stability and reliability of the structure.
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