Question
Download Solution PDFA symmetrical two-hinged parabolic arch when subjected to a uniformly distributed load on the entire horizontal span, is subjected to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFIn particular, if the 2-hinge arch has a parabolic shape and it is subjected to a uniform horizontally distributed vertical load, then only compressive forces will be resisted by the arch. Under these conditions, the arch shape is called a funicular arch because no bending or shear forces occur within the arch.
Bending moment, Mx = 0
Radial shear, Sx = 0
Normal thrust, Nx ≠ 0
Important Point:
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Arches |
Horizontal Thrust |
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Semicircular arch subjected to concentrated load (W) at Crown |
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Semicircular arch subjected to UDL (w/per unit length) over the entire span |
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Two hinged semi-circular arches subjected to uniformly varying load |
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Parabolic arch subjected to concentrated load (W) at Crown |
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Parabolic arch subjected to UDL (w/per unit length) over entire span |
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Two hinged parabolic arch subjected to uniformly distributed load on the half span |
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Two hinged parabolic arch subjected to varying distributed load on the full span |
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