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S24 Mecânica dos Sólidos |
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Title:
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OPTIMUM DESIGN AT POINTS OF REINFORCED CONCRETE SLABS USING MATHEMATICAL PROGRAMMING
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Summary :
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ABSTRACT
THE OPTIMUM DESIGN IS MADE FOR EACH POINT OF THE SLAB IN FUNCTION OF THE RESULTANTS FORCES APPLIED AT THE POINT. THE DETERMINATION OF THE RESULTANTS FORCES IS MADE BY THE FINITE ELEMENT METHOD WITH THE HYPOTHESIS OF LINEAR ELASTIC BEHAVIOR. IN THE REINFORCED CONCRETE SLABS THE DESIGN SHOULD GUARANTEE THAT AT ANY POINT OF THE SLAB THE RESULTANTS FORCES BE LOCATED ON OR INSIDE THE ADOPTED YIELD SURFACE. THE YIELD SURFACE IS DEFINED IN FUNCTION OF THE POSITIVE AND NEGATIVE ULTIMATE MOMENTS CORRESPONDING TO THE DIRECTIONS OF THE ORTHOGONAL REINFORCEMENT OF THE SLAB. THE ULTIMATE RESISTANT MOMENTS SHOULD BE GREATER THAN EVERY RESULTANTS MOMENT SO THAT THE YIELD SURFACE INCLUDES THESE MOMENTS. THE OPTIMUM DESIGN IS MADE USING MATHEMATICAL PROGRAMMING. THE OPTIMUM DESIGN PROBLEM IS SOLVED BY THE INTERIOR POINTS METHOD ALGORITHM (HERSKOVITS, 1995). THE OPTIMUM DESIGN PROGRAM USES THE YIELD CRITERION PROPOSED BY JOHANSEN (1962) AND LATER ON CORRECTED BY VELASCO ET AL. (1994). THIS ARTICLE PROPOSES A METHOD OF OPTIMUM DESIGN AT POINTS OF REINFORCED CONCRETE SLABS WITH ORTHOGONAL REINFORCEMENT, BASED ON THE YIELD CRITERION PROPOSED BY VELASCO ET AL. (1994).
KEY-WORDS
REINFORCED CONCRETE SLABS, FINITE ELEMENT METHOD, MATHEMATICAL PROGRAMMING
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Author :
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MONTALVERNE, ALEXANDRE MIRANDA
VAZ, LUIZ ELOY
VELASCO, MARTA SOUZA LIMA
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Paper View :
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