{ "title": "Scordelis–Lo roof with one layer of hex20 reduced-integration solids", "kind": "benchmark", "source": "MacNeal and Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements in Analysis and Design 1 (1985) 3–20: Fig. 8 (p. 8) geometry, material and load; Table 5(a) (p. 11) reference displacement 0.3024; Belytschko et al., Computer Methods in Applied Mechanics and Engineering 51 (1985) 221–258 (shell obstacle course)", "quantities": [ { "id": "uz", "quantity": "vertical displacement at the midpoint of the free edge, mid-surface", "measure": { "command": "solve.probe", "params": { "step": "Load", "at": [ [ 0, 16.069690242163, 19.151111077974 ] ] }, "pointer": "/nodes/0/displacement/2" }, "value": -0.3024, "tolerance": { "relative": 0.02 }, "reason": "MacNeal and Harder grade an element A within 2% of the theoretical value on this prescribed coarse mesh (p. 14); MacNeal and Harder normalise by 0.3024 (the deep-shell value quoted in their [5] is 0.3086), and a solid model of R/t = 100 differs from shell theory by O(t/R)" } ] }