Michell Structures by Tomasz Lewiński & Tomasz Sokół & Cezary Graczykowski

Author:Tomasz Lewiński & Tomasz Sokół & Cezary Graczykowski
Language: eng
Format: epub
ISBN: 9783319951805
Publisher: Springer International Publishing

In considered case, the part of the boundary of the Chan’s domain is straight and adjacent to boundary of the feasible domain, while the other part of the boundary is curved and located along the parametric line.

We assume the allowable stresses and thus ; . The angle of the upper fan: , while the angle of the lower circular fan is smaller than and smaller than . Curvilinear coordinates of point P are ; , which corresponds to its Cartesian coordinates ; . The distance between the point P and the supporting line is . Finally, the angle between the force direction and the supporting line RN is .

The optimal cantilever is characterized by the following quantities.

The forces in the reinforcing bars:

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