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On Systems of Cantilever Bars Having One Common End

Author

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  • Nicolae-Doru Stanescu

    (Pitești University Center, National University of Science and Technology POLITEHNICA Bucharest, 060042 București, Romania)

Abstract

A spatial system of cantilever bars is considered; the bars are fixed at one end and have the other end in common. The bars are straight ones. A given system of forces and torques acts on the bar system. The displacement of the common end is determined in the form of three linear displacements and three angular displacements. The calculation is carried out in screw coordinates. Various cases where certain components of the common end displacement have minimal values are also discussed. A numerical example is studied for different possibilities of the bar parameters. A particular case is that of a planar bar system. An extension of the problem is the case where, instead of the common end of the bars, the existence of a rigid body to which all the bars are connected is considered.

Suggested Citation

  • Nicolae-Doru Stanescu, 2026. "On Systems of Cantilever Bars Having One Common End," Mathematics, MDPI, vol. 14(9), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1476-:d:1930261
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