<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The paper presents a proprietary procedure for the analysis of normal stress distributions in post-tensioned cross-sections. It has a significant advantage over conventional commonly used approaches based solely on the envelope analysis as it provides stress levels in all components of the cross-section. The procedure was used in a series of probabilistic analyses with the adoption of random fields. These fields represented uncertainties in strain-stress relationship in concrete. The analysis covered several types of cross-sections and several types of random fields. Key observations from the conducted simulations are as follows: (I) the widest ranges of the probable maximum stresses (i.e. the lowest indexes of reliability) were obtained for sections with relatively low heights of the compressive zone. (II) The highest probabilistic sensitivity to the type of random field used was found in tall sections with a relatively large compressive zone. (III) The greatest sensitivity to batch uncertainties was evident in all cross-sections when using squared exponential random fields. (IV) The greatest relative sensitivity to the batch uncertainties in the form of the random field compliant with the guidelines of the Joint Comity of Structural Safety (JCSS) was evident in the analyses of the tallest cross-section corresponding to the incrementally launched bridges.</p>
</abstract>

The paper presents a proprietary procedure for the analysis of normal stress distributions in post-tensioned cross-sections. It has a significant advantage over conventional commonly used approaches based solely on the envelope analysis as it provides stress levels in all components of the cross-section. The procedure was used in a series of probabilistic analyses with the adoption of random fields. These fields represented uncertainties in strain-stress relationship in concrete. The analysis covered several types of cross-sections and several types of random fields. Key observations from the conducted simulations are as follows: (I) the widest ranges of the probable maximum stresses (i.e. the lowest indexes of reliability) were obtained for sections with relatively low heights of the compressive zone. (II) The highest probabilistic sensitivity to the type of random field used was found in tall sections with a relatively large compressive zone. (III) The greatest sensitivity to batch uncertainties was evident in all cross-sections when using squared exponential random fields. (IV) The greatest relative sensitivity to the batch uncertainties in the form of the random field compliant with the guidelines of the Joint Comity of Structural Safety (JCSS) was evident in the analyses of the tallest cross-section corresponding to the incrementally launched bridges.

Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields

Faculty of Materials, Civil and Environmental Engineering

Architecture, Civil Engineering, Environment

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The paper presents a proprietary procedure for the analysis of normal stress distributions in post-tensioned cross-sections. It has a significant advantage...

Cross section	T1	T2	T3	ILB
Concrete class	C35/45	C35/45	C35/45	C35/45
Reinf. steel class	B500SP	B500SP	B500SP	B500SP
Diameter of rebars [mm]	32	32	32	16
Concrete cover [mm]	35	35	35	35
Characteristic tensile strength of post-tension. tendons [MPa]	1860	1860	1860	1860
Number of tendons and strands in each tendon × number of strands	3×22	5×22	8×22	16×19
Area of single strand [mm²]	150	150	150	150

Cross section	N_Ed [MN]	M_Ed [MNm]
T1	9.6	11.3
T2	18.9	19.0
T3	30.2	39.7
ILB	100.0	−102.0

Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields

Published Online: Jul 20, 2023

Page range: 127 - 136

Received: Dec 16, 2022

Accepted: Mar 08, 2023

DOI: https://doi.org/10.2478/acee-2023-0022

Keywords
Post-tensioned members, Random fields, Nonlinear analysis procedure, Reliability, Bending and compression, Simulated reliability index

© 2023 Piotr Owerko, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Figure 7.

Assumed parameters of analyzed members

Assumed MEd and NEd (positive sign in bending moment denotes compression in the upper fibres of the given cross-section)

Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields

Published Online: Jul 20, 2023

Page range: 127 - 136

Received: Dec 16, 2022

Accepted: Mar 08, 2023

DOI: https://doi.org/10.2478/acee-2023-0022

KeywordsPost-tensioned members, Random fields, Nonlinear analysis procedure, Reliability, Bending and compression, Simulated reliability index

© 2023 Piotr Owerko, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Figure 7.

Assumed parameters of analyzed members

Assumed MEd and NEd (positive sign in bending moment denotes compression in the upper fibres of the given cross-section)

Keywords
Post-tensioned members, Random fields, Nonlinear analysis procedure, Reliability, Bending and compression, Simulated reliability index