Citation: Mohammed, S.D.; Ibrahim,
T.H.; Salman, B.F.; Allawi, A.A.;
El-Zohairy, A. Structural Behavior of
Reactive Powder Concrete under
Harmonic Loading. Buildings 2023,
13, 1917. https://doi.org/10.3390/
buildings13081917
Academic Editors: Binsheng
(Ben) Zhang and Daxu Zhang
Received: 27 June 2023
Revised: 24 July 2023
Accepted: 27 July 2023
Published: 27 July 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
buildings
Article
Structural Behavior of Reactive Powder Concrete under
Harmonic Loading
Shatha D. Mohammed
1
, Teghreed H. Ibrahim
1
, Ban F. Salman
1
, Abbas A. Allawi
1
and Ayman El-Zohairy
2,
*
1
Department of Civil Engineering, University of Baghdad, Baghdad 17001, Iraq;
shatha.dh@coeng.uobaghdad.edu.iq (S.D.M.); tagreed.hassan@coeng.uobaghdad.edu.iq (T.H.I.);
ban.fadhil@coeng.uobaghdad.edu.iq (B.F.S.); a.allawi@uobaghdad.edu.iq (A.A.A.)
2
Department of Engineering and Technology, Texas A&M University-Commerce, Commerce, TX 75429, USA
* Correspondence: ayman.elzohairy@tamuc.edu; Tel.: +1-903-468-8683
Abstract: Industrial buildings usually are designed to sustain several types of load systems, such as
dead, live, and dynamic loads (especially the harmonic load produced by rotary motors). In general,
these buildings require high-strength structural elements to carry the applied loads. Moreover,
Reactive Powder Concrete (RPC) has been used for this purpose because of its excellent mechanical
strength and endurance. Therefore, this study provides an experimental analysis of the structural
behaviors of reinforced RPC beams under harmonic loads. The experimental program consisted of
testing six simply supported RPC beams with lengths of 1500 mm, widths of 150 mm, and thicknesses
of 200 mm under harmonic loading with varied frequencies between 10 and 20 Hz. Different steel
fiber ratios of 0%, 0.5%, 0.75%, 1.0%, 1.5%, and 1.75% were provided in the concrete mixes to explore
the effect of steel fibers on the dynamic behavior of these beams. Except for the steel fiber volume
fraction, all of the examined specimens shared the same material attributes and reinforcing details.
The outcomes proved the positive effect of adding steel fibers on the dynamic response under the
effect of harmonic loading. The optimum volume fraction of steel fibers was characterized by a
percentage of 1.5%. Moreover, the vibration amplitude was more affected by the steel fibers than
the support reactions. The inertial force increased as the harmonic loading duration increased. This
increase in the inertial force by the load duration was enhanced after adding the steel fibers. However,
this enhancement started to decline after increasing the steel fiber content to 1.75%.
Keywords: reactive powder concrete; harmonic loading; steel fiber; frequency; load duration effect
1. Introduction
The maximum density theory inspired the development of Reactive Powder Concrete
(RPC) as an example of ultra-high-strength concrete. Because of its excellent mechani-
cal strength and endurance, this form of concrete has been used in many construction
projects [1,2]. Many studies have discussed the benefits of RPC over normal-weight con-
crete due to its higher compressive and tensile strengths and lower permeability. The
coarse material was removed from the concrete to eliminate the weakest link [3]. RPC is
usually formed from extremely fine powder materials (cement, sand, quartz powder, and
silica fume), steel fibers (optional), and a superplasticizer [4,5]. Conventional aggregate
is completely replaced by fine sand, whose particle size is less than 0.6 mm. It was also
indicated that the RPC’s compressive stress–strain relation has a linear ascent stage until
the ultimate strain, and at that point, the strength drops sharply and an explosive failure
occurs suddenly. Hence, it is so difficult to observe a complete descending stage. To
solve this problem, steel fibers are usually added to improve ductility [6]. Many studies
collectively demonstrated that adding steel fibers to RPC can significantly improve its
mechanical properties, including compressive strength, flexural strength, toughness, and
Buildings 2023, 13, 1917. https://doi.org/10.3390/buildings13081917 https://www.mdpi.com/journal/buildings