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

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

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

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θasphere= is the angle subtended by the element underconsideration with the crownFIGURE 12.21 defines the above parameters.FIGURE 12.21: Shows θ = angle to crown <strong>and</strong> R = radius of curvaturewhen:11+ cosθcosθ = 0 from Equation 12.16Then:<strong>and</strong>θ ≈ 52°N x = 0With further increase in θ, N x becomes positive, i.e. from θ>52° there are tensile stresses in the hoops.Hence, domes having a low rise will result in the hoops being in compression.Braced dome member forces as stated previously, can for analytical purposes, be conveniently related tothe membrane forces of a spherical dome subjected to symmetrical loading.The axes of the membrane force field can be transformed to align with one of the lines of the grid systemas can be seen from observing FIGURE 12.22.FIGURE 12.22: Grid systems <strong>and</strong> membrane forces177

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