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E-book NEW! - Congress.cimne.com

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3.5.1 General rules for pushing rigid elementsGeneral rules for the surfaces in force equilibrium that will be manipulated by pushing a rigid element intoor out of the structure.1. if a rigid element is pushed against the surface in force equilibrium, the structure will adapt thesurface of the rigid element unless the boundaries/surface of the rigid element allow the flexiblesurface to form a new surface in force equilibrium released from the surface of the rigid element.This is shown below in Figure 99E;2. if there is contact between two surfaces, the angle between them is zero;3. if the angle between the surfaces fluently increases from zero, the release between the surfaces iswithin a place on the two surfaces. In that case there is a smooth transition between the two surfacesinto a joint surface. This is shown below in Figure 99A, 99C and F;4. if the angle between the surfaces changes suddenly, the release between the surfaces is at one of theboundaries of the surface. This will give a (curved) line within the other flexible surface. This isshown below in Figure 99B and 99D and 99E.A B C D E FFigure 99: The section of a surface in force equilibrium pushed against a rigid element.3.5.2 Pushed-out elements from the inside of an inflatableFigure 100, Synclastic inflatable membrane with a pushed-out elementFigure 101, Monoclastic inflatable membrane with a pushed-out elementFigure 102, Anticlastic inflatable membrane with a pushed-out elementAn inflatable structure will make an anticlastic surface to the boarders of any rigid element pushed out fromthe inside.3.5.3 Pushed-in elements against mechanical prestressed membranesFigure 103, Anticlastic mechanical pre-stressed membrane with a pushed-in elementFigure 104, Zeroclastic mechanical pre-stressed membrane with a pushed in-elementFigure 105, Anticlastic mechanical pre-stressed membrane with a pushed-in element with a positive boundaryFigure 106, Zeroclastic mechanical pre-stressed membrane with a pushed-in element with a positive boundaryFigure 107, Anticlastic mechanical pre-stressed membrane with a pushed-in element with a negative boundaryFigure 108, Zeroclastic mechanical pre-stressed membrane with a pushed-in element with a negative boundaryA zeroclastic mechanical prestressed membrane and an anticlastic mechanical prestressed membrane willmake an anticlastic surface to the boundaries of any rigid element pushed-in or out as long as the boundariesare not parallel.48

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