vu) versus shear span to depth ratios (a/D) is compared with the graph plotted on ratios of mid-span to shear span (le/2a) versus shear span to depth ratios (a/D). The dominant positions of shear and flexure are marked by intercepting the tangents on curve [(le/2a) versus (a/D)] at specified points. The influencing position of shear and flexure are compared by a position of cracks and mode of failure of the beam subjected to two points loading with respective (a/D) ratio.

">

A Graphical Approach to Locating the Control Point of Shear and Flexure over the Span of the Post-Tensioned Beam: Statistical Curve Fitting on the Functions of the Shear Span

S. Kumar*, S. Rajendra**
* Assistant Professor, Jyothy Institute of Technology, Bangalore, Karnataka, India.
** Principal and Professor, Vijaya Vittala Institute of Technology, Bangalore, Karnataka, India.
Periodicity:December - February'2019
DOI : https://doi.org/10.26634/jste.7.4.14920

Abstract

An approach is made to compare the basic properties of the two curves plotted on experimental shear strength and geometrical proportion of effective span respectively, over the function of shear span. The illustration is made on the controlling or influencing points of shear and flexure over the span of the beam. Shear stress is the function of the shear span, which decreases with an increase in shear span. The graph plotted on maximum shear stresses (τvu) versus shear span to depth ratios (a/D) is compared with the graph plotted on ratios of mid-span to shear span (le/2a) versus shear span to depth ratios (a/D). The dominant positions of shear and flexure are marked by intercepting the tangents on curve [(le/2a) versus (a/D)] at specified points. The influencing position of shear and flexure are compared by a position of cracks and mode of failure of the beam subjected to two points loading with respective (a/D) ratio.

Keywords

Shear, Flexure, Flexural-Shear, Shear-Flexure, Post-Tension

How to Cite this Article?

Kumar, S., & Rajendra, S. (2019). A Graphical Approach to Locating the Control Point of Shear and Flexure over the Span of the Post-Tensioned Beam: Statistical Curve Fitting on the Functions of the Shear Span, i-manager's Journal on Structural Engineering, 7(4), 29-34. https://doi.org/10.26634/jste.7.4.14920

References

[1]. Ahmad, S. H., Khaloo, A. R., & Poveda, A. (1986, March). Shear capacity of reinforced high-strength concrete beams. In Journal Proceedings, 83(2), 297-305.
[2]. ASCE-AC1 Committee 426. (1973). Shear strength of reinforced concrete members. ASCE Proceedings, 99(6), 1091-1188.
[3]. Bureau of Indian Standards. (2012). Indian standard code of practice for Prestressed concrete (IS 1343: 2012). New Delhi, India.
[4]. Collins, M. P., Mitchell, D., Adebar, P., & Vecchio, F. J. (1996). A general shear design method. ACI Structural Journal, 93(1), 36-45.
[5]. Hegger, J., & Bertram, G. (2008). Shear carrying capacity of ultra-high performance concrete beams. In Proceedings, International fib Symposium, Amsterdam, Netherlands (p. 96).
[6]. Kani, G. N. J. (1966). Basic facts concerning shear failure. In Journal Proceedings, 63(6), 675-692.
[7]. Kani, M. W., Huggins, M. W., & Wittkopp, R. R. (1979). Kani on Shear in Reinforced Concrete. University of Toronto Press, Toronto.
[8]. Khuntia, M., & Stojadinovic, B. (2001). Shear strength of reinforced concrete beams without transverse reinforcement. Structural Journal, 98(5), 648-656.
[9]. Kotsovos, M. D. (1983). Mechanisms of 'shear' failure. Magazine of Concrete Research, 35(123), 99-106.
[10]. Lin, T. Y., & Burns, A. P. (2004). Design of Prestressed Concrete Structures, 3rd Edition. Wiley & Sons.
[11]. MacGregor, J. G., & Wight, J. K. (1960). R Reinforced Concrete Mechanics and Design, 6th Edition, Pearson Publications, Delhi.
[12]. Ruiz, M. F., & Muttoni, A. (2008). Shear strength of thinwebbed post-tensioned beams. ACI Structural Journal, 105, 308-317.
[13]. Shioya, T. (1989). Shear properties of large reinforced concrete member. Special Report/Inst. of Technology.
[14]. Vecchio, F. J., & Collins, M. P. (1986). The modified compression-field theory for reinforced concrete elements subjected to shear. ACI Journal, 83(2), 219-231.
[15]. Walther, R. E. (1957). Shear strength of prestressed concrete beams (Progress Report No. 17A). World Conference on Prestressed Concrete, Reprint No. 129 (58-5).
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.