For a two-hinged parabolic arch with span L, rise h, under full UDL w, the bending moment at any section is:
Choose the correct answer
M = wL²/8 (same as SS beam)
M = 0 everywhere (parabolic arch under UDL is purely compressive, zero BM)
M = wLh/4
M = Hh
Correct Answer
B. M = 0 everywhere (parabolic arch under UDL is purely compressive, zero BM)
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For two-hinged parabolic arch under UDL: arch rib shape = funicular (same as cable shape), so the arch carries UDL in pure compression with ZERO bending moments throughout. H = wL²/(8h). This is the key advantage of parabolic arches under UDL — they are completely efficient, all load carried by axial compression.
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