Estimation of the bending stiffness of rectangular reinforced concrete beams made of steel fibre reinforced concrete

• Autorzy: Bywalski C. , Kamiński M.

Warianty tytułu

PL

Szacowanie sztywności giętnej prostokątnych, żelbetowych belek wykonanych z betonu modyfikowanego włóknami stalowymi

• Języki publikacji: EN

Abstrakty

EN

A method of calculating the location of the neutral axis of a rectangular steel fibre reinforced concrete cross section before and after cracking, and its moments of inertia relative to this axis is proposed. Moreover, the method of calculating the cross section's geometrical characteristics for both the cracked stage and the uncracked stage is based on a model of fibres distribution along the length of the beam. Consequently, two algorithms for estimating the immediate and long-term deflections of steel fibre reinforced concrete beams are proposed. One of the algorithms is for uncracked beams and the other for cracked beams. The algorithms hale been positively experimentally verified.

PL

W pracy zaproponowany został sposób obliczania położenia osi obojętnej prostokątnego przekroju fibrobetonowego przed i po zarysowaniu oraz momentów bezwładności przekroju względem tych osi. Ponadto sposób obliczania cech geometrycznych przekroju dla fazy zarówno zarysowanej, jak i niezarysowanej bazuje na modelu rozkładu włókien na długości elementu belkowego. W konsekwencji zaproponowano dwa algorytmy do szacowania ugięć doraźnych i długotrwałych belek fibrobetonowych, z których jeden dotyczy belek niezarysowanych, a drugi zarysowanych. Algorytmy te zostały pozytywnie zweryfikowane doświadczalnie.

Słowa kluczowe

EN

steel fibre reinforced concrete; steel fibre; stiffness; moment of inertia; deflections of beams

PL

włókna stalowe; sztywność; moment bezwładności; belka żelbetowa

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2011
• Tom: Vol. 11, no 3
• Strony: 553--571
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr.

Twórcy

autor

Bywalski C.

autor

Kamiński M.

• Wrocław University of Technology, Wybrzeże Wyspiańskiego 25, 50-370 Wrocław, Poland

Bibliografia

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• [2] Szechiński M.: Deformations of reinforced concrete beams under long-term bending load (in Polish), Wrocław University of Technology Publishing House, Wrocław, 1996.
• [3] Branson D.E., Shiah A.F.: Deflections of concrete structures, ACI SP-86, Detroit, 1986.
• [4] Branson D.E., Kripanarayanan K.M.: Some experimental studies of time dependent deflections of noncomposite and composite reinforced concrete beams, ACI SP-4316, Detroit, 1976.
• [5] Branson D.E.: Deformation of concrete structures, McGraw Hill Co., New York, 1977.
• [6] Ezeldin A.S., Shiah T.W.: Analytical immediate and long-term deflections of fibrereinforced concrete beams, Journal of Structural Engineering, Vol. 121, No. 4, 1995, pp. 727-738.
• [7] Balaguru P.N., Ezeldin A.S.: Normal and high strength fibre reinforced concrete. Fibre reinforced concrete under compression, Journal of Materials in Civil Engineering, ASCE, Vol. 4, No. 4, 1992, pp. 415-429.
• [8] Balaguru P.N., Ramakrishnan V.: Properties of fibre reinforced concrete: workability behaviour under long term loading and air-void characteristics, ACI Materials Journal, Vol. 85, No. 3, 1988, pp. 189-196.
• [9] Grzybowski M., Shah S.P.: Shrinkage cracking in fibre reinforced concrete, ACI Materials Journal, Vol. 87, No. 2, 1990, pp. 138-148.
• [10] ACI Committee 209: Prediction of creep, shrinkage and temperature effects in concrete structures, ACI Publication SP-76, American Concrete Institute, Detroid, 1982.
• [11] Kamiński M., Trapko T., Balbus L., Bywalski C.: Model of steel fibres distribution along length of steel fibre reinforced concrete beams (in Polish), Materiały Budowlane, No. 9, 2006, pp. 8-9, 60.
• [12] Kamiński M., Bywalski C.: Analysis of long steel fibre distribution in fibre reinforced concrete beams, Modern building materials, structures and techniques: The 10th International Conference: selected paper, Lithuania, Vilnius, Vol. 1, 2010, pp. 117-124.
• [13] ENV 1992-1-1:2008 - Eurocode 2, Design of Concrete Structures, Part 1-1, General Rules and Rules for Buildings, CEN, 2008.
• [14] Kamiński M., Bywalski C.: Influence of creep deformations on value of long term deflections of steel fibre-reinforced concrete beams, Proceedings 8th International Conference on Creep, Shrinkage and Durability of Concrete and Concrete Structures, Japan, Ise-Shima, Vol. 1, 2008, pp. 729-734.
• [15] Bulletin d'Information, No. 199; Evaluation of the time dependent behaviour of concrete, CEB, France, Paris, 1990.
• [16] Bywalski C.: Long-term deflections of steel fibre reinforced concrete beams, PhD dissertation, Series PRE 2/2009, Report of the Institute of Building Engineering at Wrocław University of Technology, Poland, Wrocław, 2009.
• [17] Jungwirth J., Muttoni A.: Structural behaviour of tension members in UHPC, International Symposium on Ultra High Performance Concrete, Germany, Kassel, 2004, pp. 533-545.