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EWPAA Structural Plywood and LVL Design Manual - Engineered ...

EWPAA Structural Plywood and LVL Design Manual - Engineered ...

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FIGURE 12.9: A parabolic arch (not to scale)The support reactions can be determined through application of the equilibrium equations:∑Fy= 0 : VA+ VB= 2 wL∑Fx= 0 : HA= HB2wL∑MCR= 0 : HBx h−VBx L+= 02wL2∑MCL= 0 : VAxL−HAxh−= 02(12.5)Had the supports been at different levels the procedure would still be the same except twovalues of (h) would be required.12.8 Arches – <strong>Design</strong> ExampleFIGURE 12.10 shows a three hinged parabolic arch for which w = 10kN/m, L = 30m<strong>and</strong> h = 10m.FIGURE 12.10: Symmetrical parabolic arch symmetrically loaded12.9 Arches - Worked ExampleThe main objective of this worked example is to show the arch is subjected to zero bending<strong>and</strong> shear forces when subjected to uniform loading.165

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