Limit Analysis of Slabs with Free Edge

by Kanakapura S. Subba Rao, Asst. Prof.; Civ. Engrg. Dept., Indian Inst. of Science, Bangalore, India,
Balagolam V. Ranganatham, Prof.; Civ. Engrg. Dept., Indian Inst. of Science, Bangalore, India,
N. Rangaiah, Asst. Prof.; Civ. Engrg. Dept., College of Engrg., Ananthapur, India,

Serial Information: Journal of the Structural Division, 1979, Vol. 105, Issue 11, Pg. 2419-2431

Document Type: Journal Paper


The general method earlier developed by the writers for obtaining valid lower bound solutions to slabs under uniformly distributed load and supported along all edges is extended to the slabs with a free edge. Lower bound solutions with normal moment criterion are presented for six cases of orthotropically reinforced slabs, with one of the short edges being free and the other three edges being any combination of fixed and simply supported conditions. The expressions for moment field and collapse load are given for each slab. The lower bounds have been compared with the corresponding upper bound values obtained from the yield line theory with simple straight yield line modes of failure. They are also compared with Nielsen's solutions available for two cases with isotropic reinforcement.

Subject Headings: Limit analysis | Slabs | Failure loads | Load distribution | Load factors | Case studies | Orthotropic materials | Moment (mechanics)

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