File:Comparison catenary parabola.svg
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[edit]DescriptionComparison catenary parabola.svg |
English: Comparison of a catenary (black dotted curve) and a parabola (red solid curve) with the same span and sag. The catenary represents the profile of a simple suspension bridge, or the cable of a suspended-deck suspension bridge on which its deck and hangers have negligible mass compared to its cable. The parabola represents the profile of the cable of a suspended-deck suspension bridge on which its cable and hangers have negligible mass compared to its deck. The profile of the cable of a real suspension bridge with the same span and sag will lie between the two curves. The catenary and parabola equations, plotted between x=-1 and x=1, are and , respectively. |
Source | Own work |
Author | Cmglee |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 20:52, 19 January 2012 | 512 × 144 (14 KB) | Cmglee (talk | contribs) | {{Information |Description ={{en|1=Comparison of a catenary (black dotted curve) and a parabola (red solid curve) with the same span and sag. The catenary represents the profile of a simple suspension bridge, or the cable of a suspended-deck suspension |
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Short title | Comparison of a catenary and a parabola with the same span and sag |
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Image title | Comparison of a catenary (black dotted curve) and a parabola (red solid curve) with the same span and sag, by CMG Lee. The catenary represents the profile of a simple suspension bridge, or the cable of a suspended-deck suspension bridge on which its deck and hangers have negligible mass compared to its cable. The parabola represents the profile of the cable of a suspended-deck suspension bridge on which its cable and hangers have negligible mass compared to its deck. The profile of the cable of a real suspension bridge with the same span and sag will lie between the two curves. The catenary and parabola equations are y = cosh(x) and y = x ^ 2 * (cosh(1) - 1) + 1, respectively. |
Width | 100% |
Height | 100% |