Chapter
May 1, 2023

Analytical Model and Analysis of Post-Tensioned Continuous Composite Beams

Publication: Structures Congress 2023

ABSTRACT

In this paper, an analytical model is proposed, where the nonlinear material behaviors of steel and concrete are adopted. The proposed model is carried out by the computer software MATLAB to run the iterations to satisfy the equilibrium of the internal forces in the post-tensioned composite sections. Test data for full-scaled steel-concrete continuous composite beams are used to calibrate the proposed model. The influences of the post-tensioning and steel beam grade on the post-tensioned continuous composite beam behavior are investigated. The steel rebar strain is reduced by 84% at the cracked moment and starts to yield when the moment on the strengthened beam is 9.3% higher than that moment on the unstrengthened beam. The initial compressive strain created by the external post-tensioning helps to relieve part of the tensile strain in the concrete flange and then improves the cracking resistance of the concrete. Higher stiffness is obtained in the case of carbon steel relative to the stainless steel case. Moreover, the yielding moment is reduced by 16.3% when using stainless steel. However, the ultimate deformation is improved by 53% relative to the carbon steel grade.

Get full access to this article

View all available purchase options and get full access to this chapter.

REFERENCES

ACI Committee 318. Building Code Requirements for Structural Concrete (ACI 318-18).
Abdella, K. Inversion of a full-range stress-strain relation for stainless steel alloys. NonLin. Mech. 2006;41(3):456–463.
Chen, S. Experimental study of prestressed steel–concrete composite beams with external tendons for negative moments. Journal of Construction Steel Research 2005;61(12): 1613–1630.
Chen, S., Wang, X., and Jia, Y. A comparative study of continuous steel-concrete composite beams prestressed with external tendons: Experimental investigation. Journal of Construction Steel Research 2009;65(7):1480–1489.
El-Zohairy, A., and Salim, H. Parametric study for post-tensioned composite beams with external tendons. Adv Struct Eng. 2017;20(10):33–50.
El-Zohairy, A., Salim, H., Shaaban, H., Mustafa, S., and El-Shihy, A. Finite element analysis and parametric study of continuous steel-concrete composite beams stiffened with post-tensioned tendons. Advances in Structural Engineering. 2018;21(6):933–945. doi:
Chen, S., and Jia, Y. Numerical investigation of inelastic buckling of steel–concrete composite beams prestressed with external tendons. Journal of Thin-Walled Structure 2010;48(3):233–242.
Ghallab, A. Calculating ultimate tendon stress in externally prestressed continuous concrete beams using simplified formulas. Journal of Engineering Structure 2013;46:417–430.
Gopinath, S., Rajasankar, J., Iyer, N. R., Krishnamoorthy, T. S., Bharatkumar, B. H., and Lakshmanan, N. A Strain-Based Constitutive Model for Concrete under Tension in Nonlinear Finite Element Analysis of RC Flexural Members. Structural Durability & Health Monitoring, 2009;5(4):311–336.
MATLAB Version 9.1.0., The MathWorks Inc., Massachusetts, USA, 2016.
Mattock, A. H. Flexural strength of prestressed concrete sections by programmable calculator. PCI. 1979;24:32–54.
Nie, J., Tao, M., Cai, C. S., and Li, S. Analytical and numerical modeling of prestressed continuous steel-concrete composite beams. Journal of Structure Engineering 2011;137(12):1405–1418.
Rasmussen, K. J. Full-range stress-strain curves for stainless steel alloys. Constr Steel Res. 2003;59:47–61.
Ren, Y., Wang, Y., Wang, B., Ban, H., Song, J., and Su, G. Flexural behavior of steel deep beams prestressed with externally unbonded straight multi-tendons. Thin-Walled Str. 2018;131:519–530.
Shah, S. P., Fafitis, A., and Arnold, R. Cyclic loading of spirally reinforced concrete. Struc Eng. 1983;109(7):1695–1710.
Sohn, Y. G., Ayyub, B. M., and Saadatmanesh, H. Prestressed composite girders. I: experimental study for negative moment. Journal of Structure Engineering 1992;118(10):2743–2762.
Timoshenko, S., and Goodier, J. N. Theory of Elasticity. Auckland; Singapore: McGraw-Hill (1982), ISBN: 0070858055.
Yun, X., and Gardner, L. Stress-strain curves for hot-rolled steels. Constr Steel Res. 2017;133:36–46.

Information & Authors

Information

Published In

Go to Structures Congress 2023
Structures Congress 2023
Pages: 85 - 94

History

Published online: May 1, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Mitchell McGarry [email protected]
Undergraduate Student, Engineering and Technology Dept., Texas A&M Univ.–Commerce, Commerce, TX. Email: [email protected]
Ayman El-Zohairy, M.ASCE [email protected]
Assistant Professor, Dept. of Engineering and Technology, Texas A&M Univ.–Commerce, Commerce, TX (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$80.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$80.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share