EXAMPLES FOR THE APPLICATION OF MATHEMATICS IN CONCRETE TECHNOLOGY

SEVERAL EXAMPLES ARE PRESENTED OF THE APPLICATION OF MATHEMATICS IN CONCRETE TECHNOLOGY. TWO POPULAR METHODS ARE GIVEN FOR THE NUMERICAL CHARACTERIZATION OF THE PARTICLE-SIZE DISTRIBUTION, OR GRADING, OF MINERAL AGGREGATES, SUCH AS SAND, GRAVEL, CRUSHED STONE, ETC. ONE METHOD IS THE FINENESS MODULUS, THE OTHER IS THE SPECIFIC SURFACE AREA. A MATHEMATICAL SOLUTION IS DEVELOPED FOR THE DETERMINATION OF THE EFFECT OF WATER CONTENT ON THE CONSISTENCY OF CONCRETE. THE SOLUTION IS MADE POSSIBLE WITH THE ADOPTION OF AN ASSUMPTION OF INDEPENDENCE. THIS METHOD IS COMPARED WITH THE K-PROCEDURE IN WHICH K IS THE THINNING FACTOR WHICH IS INDEPENDENT OF THE COMPOSITION OF THE MIXTURE. IT IS DEMONSTRATED THAT THE ASSUMPTION OF INDEPENDENCE AND THE K-PROCEDURE ARE IDENTICAL. A MATHEMATICAL MODEL IS PRESENTED FOR DETERMINATION OF THE KINETICS OF THE HARDENING OF PORTLAND CEMENT. THE DIFFICULTY CAUSED BY THE HIGH NUMBER OF VARIABLES IN CONCRETE TECHNOLOGY CAN BE PARTIALLY OVERCOME BY THE APPLICATION OF COMPUTER. A FORTRAN PROGRAM IS GIVEN THAT PROVIDES THE UNIT WEIGHT AND CEMENT CONTENT OF A CONCRETE IN TERMS OF THE CONCRETE PROPORTIONS, SUCH AS MIX PROPORTION, AIR CONTENT, AND CONSISTENCY, AS WELL AS THE SPECIFIC GRAVITY AND GRADING OF THE AGGREGATE.

  • Supplemental Notes:
    • pp 375-382, 18 REF
  • Corporate Authors:

    4th Intl Congr Appl Math Eng Rept /Ger

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  • Publication Date: 1967

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  • Accession Number: 00213400
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Oct 21 1994 12:00AM