Indian Journal of Engineering & Materials Sciences

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Probabilistic Analysis of Ultimate Strength of Ferrocement Elements in Axial Tension


Affiliations
1 CSIR-Structural Engineering Research Centre, Taramani, Chennai 600 113, India
2 Department of Civil Engineering, Indian Institute of Science, Bangalore 560 012, India
 

This paper reports the results of probabilistic analysis of ultimate load, 𝑃𝑢, of normal and lightweight ferrocementelements under axial tension. The lightweight ferrocement element was realised by replacing the sand in cement mortar by blast furnace slag by 20%, 40%, 60%, 80% and 100%. In probabilistic analysis, the diameter and ultimate tensile strength of mesh wires and the modelling error associated with the prediction equation of ultimate load are treated as random variables. From the analysis of results of probabilistic analyses it has been found that the ultimate load follows a normal distribution at 5% significance level and also the bounds (mean1.64*standard deviation) enclose the experimental scatter and hence the characteristic strength can be used for the design of ferrocement members against ultimate limit state.

Keywords

Ferrocement, Wire mesh, Mortar, Blast furnace slag, Ultimate strength, Probabilistic analysis, Characteristic strength.
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  • ACI Committee 549R-97, ―State-of-the-Art Report on Ferrocement‖, Concrete International Design and Construction, Vol. 4, No. 8, August 1997, pp. 549R-1 – 549R-25.

  • Naaman A E, Ferrocement and Laminated Cementitious Composites, Techno Press, 2000, ISBN 0-9674939-0-0.

  • Naaman A E, ―Ferrocement and Thin Reinforced Cement Composites: Five Decades of Progress‖, Proceedings of 12 th International Symposium on Ferrocement and Thin Cement Composites, Belo Horizonte, Brazil, Edited by C. Rodriguez, Savio Nunes Bonifacio, A.E. Naaman, H. Wainstock Rivas, published by Brasilain Ferrocement Society, July 2018.

  • Naaman A E & Shah S P, ACI J, 68 (9)(1971) 693.

  • Desayi P & Jacob K A, Strength of Ferrocement in Tension and Flexure, Symposium on Modern Trends in Civil Engineering, Roorkee, November 1972.

  • Johnston C D & Mattar S G, J Struct Div, ASCE, 102 (ST5) (1976) 875.

  • Huq S & Pama R P, J Ferrocement, 8(3)(1978) 143.

  • Somayaji S & Naaman A E, J Ferrocement, 11(2) (1981) 127.

  • Desayi P & Reddy V, Strength and Behaviour of Lightweight Ferrocement in Tension, Proceedings of the Second International Symposium on Ferrocement, Bangkok, Thailand, (1985).

  • Thesis, Indian Institute of Science, Bangalore, India (1987).

  • Al-Noury S. I & Huq S, J Ferrocement, 18(2)(1988) 111.

  • Che X B & Zhao G F, The Calculation of Crackwidth in Ferrocement under Axial Tension, Proceedings of Symposium on Ferrocement, Held at New Delhi, India (1988) 12.

  • Naaman A E, Movenzadeh F & McGarry F J, J Engg Mech Div ASCE, 100(EM2)1974, 397.

  • Li V C & Wu H-C, App. Mech Rev., 45(8)(1992) 390.

  • Gandomi A H, Roke D A & Sett K, Engg Struct, 57(2013) 169.

  • Hanif A A, Lu Z, Sun M, Parthasarathy P & Li Z, J Clean Produ, 159(2017) 326.

  • Naderpour H, Eidgahee D R, & Fakharian P, Engg Sci Tech, 23(2)(2020) 382.

  • Gȕcer D & Gurland J, J Mech Phy Solids, 10(1962) 365.

  • Zweben C & Rosen B W, J Mech Phy Solids, 18(1970) 189.

  • Zweben C & Rosen B W, Tensile Fracture Criteria for Fiber Composite Materials, (1972) NASA CR-2057.

  • Argon A S, Statistical Aspects of Fracture, Composite Materials : Fracture and Fatigue, Edited by L. J. Broutman and R. H. Krock, Academic Press, New York, Vol. 5, Chapter 4 (1974) 153.

  • Harlow D G & Phoenix S L, J Comp Mat, 12(2)(1978) 195.

  • Harlow D G & Phoenix S L, J Comp Mat, 12(4)(1978) 314.

  • Weibull W, J App Mech, 73(1951) 293.

  • Harlow D G, Properties of the Strength Distribution for Composite Materials, Composite Materials: Testing and Design (Fifth Conference), ASTM STP 674, Edited by S. W. Tsai, American Society for Testing and Materials (1979) 484.

  • Chamis C C, Probabilistic Composite Design, Composite Materials: Testing and Design, Thirteenth Volume, ASTM STP 1242, Editor: S. J. Hooper, ASTM (1997) 23.

  • Xie W, Yang Y, Meng S, Peng T, Yuan J, Scarpa F, Xu C & Jin H, J Space Rock, 56(6)(2019) 1765. 28 Engelbrecht-Wiggans A & Phoenix S L, Front Phys, 9(2021) doi:10.3389/fphy.2021.644815.

  • Desayi P & Balaji K Rao, Int J Cem Comp Light Conc, 10(1)(1988) 15.

  • Prakash Desayi & Balaji Rao K, Invited paper, J Struct Engg (CSIR-SERC, Madras), 49(6)(2023) 445.

  • Balaji Rao K, Studies on Reliability of Reinforced Concrete Beams in Cracking and Ferrocement Elements in Tension and Flexure, Ph.D Thesis, Indian Institute of Science, Bangalore (1990).

  • Milik Tichy & Milos Vorlicek. Statistical Theory of Concrete Structures with Special Reference to Ultimate Design, Irish University Press, Shannon, Academia, Prague (1972).

  • Ang A H – S & Tang W H, Probability Concepts in Engineering Planning and Design, Vol. I, John Wiley & Sons, New York (1975).

  • Ellingwood B R, Development of a probability based load criterion for American National Standard A58, NBS Special Publication 577 (1980).

  • Paramasivam P & Nathan G K, ACI J, 81(6)(1984) 580.

  • Sharma P C, Gopalakrishnan S, Raman N V & Kumar G V S, J Ferrocement, 9(1)(1979) 21.


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  • Probabilistic Analysis of Ultimate Strength of Ferrocement Elements in Axial Tension

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Authors

K. Balaji Rao
CSIR-Structural Engineering Research Centre, Taramani, Chennai 600 113, India
Prakash Desayi
Department of Civil Engineering, Indian Institute of Science, Bangalore 560 012, India

Abstract


This paper reports the results of probabilistic analysis of ultimate load, 𝑃𝑢, of normal and lightweight ferrocementelements under axial tension. The lightweight ferrocement element was realised by replacing the sand in cement mortar by blast furnace slag by 20%, 40%, 60%, 80% and 100%. In probabilistic analysis, the diameter and ultimate tensile strength of mesh wires and the modelling error associated with the prediction equation of ultimate load are treated as random variables. From the analysis of results of probabilistic analyses it has been found that the ultimate load follows a normal distribution at 5% significance level and also the bounds (mean1.64*standard deviation) enclose the experimental scatter and hence the characteristic strength can be used for the design of ferrocement members against ultimate limit state.

Keywords


Ferrocement, Wire mesh, Mortar, Blast furnace slag, Ultimate strength, Probabilistic analysis, Characteristic strength.

References