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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

Frontiers of Structural and Civil Engineering  2018, Vol. 12 Issue (3): 352-360   https://doi.org/10.1007/s11709-017-0453-3
  本期目录
Hybrid flexural components: Testing pre-stressed steel and GFRP bars together as reinforcement for flexural members
Mohammed FARUQI(), Oved I. MATA, Francisco AGUINIGA
Department of Civil and Architectural Engineering, Texas A&M University, Kingsville, TX 77843, USA
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Abstract

Concrete members historically have used either pre-stressed steel or steel bars. In recent years there has been an increased interest in the use of fiber reinforced polymer (FRP) materials. However, the flexure behavior of a hybrid system reinforced by the combination of pre-stressed steel and glass fiber reinforced (GFRP) is still relatively unknown. The purpose of this work is to study this. Two slabs of 100 and 150-millimeter thickness, with a span of 2.1 m reinforced with both pre-stressing steel and GFRP were constructed and tested to failure using ACI 318-11 and ACI 440.1R-15. The concrete had strength of 31 MPa and the slabs were respectively reinforced with 5#4 bars and 3#5 bars. Each slab had 37.41 mm2 prestressing wire with a failure stress of 1722.5 MPa. The experimental flexural strength and deflection of slabs were compared with their respective sizes theoretical slabs. The theoretical slabs were either reinforced with pre-stressed steel or GFRP rebars, or a hybrid system. It was found that the hybrid system produces better results.

Key wordsPartial pre-stressing    composite structures    GFRP bars
收稿日期: 2016-11-14      出版日期: 2018-05-22
Corresponding Author(s): Mohammed FARUQI   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2018, 12(3): 352-360.
Mohammed FARUQI, Oved I. MATA, Francisco AGUINIGA. Hybrid flexural components: Testing pre-stressed steel and GFRP bars together as reinforcement for flexural members. Front. Struct. Civ. Eng., 2018, 12(3): 352-360.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-017-0453-3
https://academic.hep.com.cn/fsce/CN/Y2018/V12/I3/352
Fig.1  
Fig.2  
Member Pe (kN) Mn (kN?m) d (mm)
150 mm 35.6 6.7 1.75
100 mm 35.6 3.8 2.125
Tab.1  
Fig.3  
member Af (mm2) Mn (kN?m) d (mm)
150 mm 625 37.4 0.55
100 mm 625 15.1 1.825
Tab.2  
member Af (mm2) Pe (kN) Mn (kN?m) d (mm)
150 mm 625 21.36 47.46 ?1.875
100 mm 625 21.36 21.22 ?5.875
Tab.3  
Fig.4  
Fig.5  
Fig.6  
Fig.7  
Fig.8  
Fig.9  
Fig.10  
Fig.11  
Fig.12  
Fig.13  
Mexp (kN?m) load (kN) crack size (mm) crack point (mm) d (mm)
11.70 21.85 0.390 75 0
21.08 39.33 0.780 75 12.5
23.39 43.70 1.563 75 18.75
29.24 54.62 3.125 75 25
32.78 61.18 4.688 75 25
35.09 65.55 6.250 75 28.125
37.40 69.92 6.250 75 43.75
40.94 76.47 12.500 75 50 (break)
Tab.4  
Mexp (kN?m) load (kN) crack size (mm) crack point (mm) d (mm)
5.85 10.925 - 900 0
11.70 21.850 - 900 25
17.54 32.774 1.563 900 31.25
23.39 43.699 6.250 900 47.50
28.56 44.500 6.250 900 50 (break)
Tab.5  
Fig.14  
Fig.15  
Fig.16  
Fig.17  
Fig.18  
Fig.19  
Fig.20  
theoretical & experimental d (mm)
members full pre-stressed GFRP only hybrid theo. hybrid exp.
150 mm ?1.750 0.550 ?1.875 0
100 mm ?2.125 1.825 ?5.875 0
Tab.6  
theoretical & experimental ultimate moment capacity (kN?m)
member full pre-stressed GFRP bars only hybrid theo. hybrid exp.
150 mm 6.664 37.400 47.464 40.936
100 mm 3.808 15.096 21.216 28.560
Tab.7  
a = depth of equivalent rectangular stress block, mm
Ac = area of the concrete for member, mm2
Af = area of fiber-reinforced polymer (FRP) reinforcement, mm2
Ap = area of the pre-stressed reinforcement, mm2
As = area of tension steel reinforcement, mm2
B = width of rectangular cross section, in
c = distance from extreme compression fiber to the neutral axis, mm
cb = distance from extreme compression fiber to the neutral axis at balanced strain condition, mm
CE = environmental reduction factor for various fiber type and exposure conditions
d = distance from extreme compression fiber to centroid of tension reinforcement, in
dp = distance from extreme compression fiber to centroid of prestressing reinforce-ment, mm
e = eccentricity, mm
E = modulus of elasticity, kPa
Ec = modulus of elasticity of concrete, kPa
Ef = design or guaranteed modulus of elasticity of FRP defined as mean modulus of sample of test specimens
Ep = Elastic modulus of pre-stressed steel, kPa
fc = specified compressive strength of concrete, kPa
ff = stress in FRP reinforcement in tension, kPa
ffu = design tensile strength of FRP, defined as the guaranteed tensile strength multiplied by the environmental reduction factor (ffu= CE*ffu*), kPa
ffu* = guaranteed tensile strength of FRP bar, defined as mean tensile strength of sample of test specimens minus three times Standard deviation (ffu* = ffu, ave-3σ), kPa
fpe = stress in steel due to effective pre-stress force (Pe or F) after all losses, psi. (fse in the ACI code)
fpu = specified tensile strength of prestressing reinforcement, kPa
fps = stress in prestressing reinforcement at nominal flexural strength, kPa
fy = specified yield stress of non-pre-stressed steel reinforcement, kPa
F = Pre-stress force, kN
H = overall height of flexural member, mm
I = moment of inertia, mm4
L = span length of the member, m
Mn = nominal moment capacity, kN?m
Pe = effective pre-stress (after all losses), kN
r = radius of gyration of cross section, mm
Greek letters
β1 = factor relating depth of equivalent rectangular compressive stress block to depth of neutral axis
?p = factor used for type of prestressing reinforcement
D = the flexural displacement due to pre-stress F, in
δmax = maximum elastic deflection on a member supported by two simple supports, in
ε1 = first component in three to the sum of εps (total steel strain at failure)
ε2 = second component in three to the sum of εps (total steel strain at failure)
ε3 = third component in three to the sum of εps (total steel strain at failure)
εc = maximum usable strain at extreme concrete compression fiber
εfu = design rupture strain of FRP reinforcement, defined as the guaranteed tensile rupture strain multiplied by the environmental reduction factor. (εfu = CE?εfu*)
ρ = = ratio of As to bd
ρ' = ratio of As to bd
ρf = fiber-reinforced polymer reinforcement ratio
ρfb = fiber-reinforced polymer reinforcement ratio producing balanced strain conditions
ρp = ratio of Aps to bdp
ω = tension reinforcement index
ω = compression reinforcement index
  
1 Nanni A, De Luca A, Zadeh J H. Introduction. In: Reinforced Concrete with FRP Bars. Florida: CRC Press-Taylor & Francis Group, 2014
2 Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars. ACI 440.1R-15, 2015
3 Nilson H A. Design of Prestressed Concrete. 2nd ed. Canada: John Wiley & Sons, Inc, 1987, 103
4 Singh B S. Design of RC Structures Reinforced with FRP Bars. In: Analysis and Design of FRP Reinforced Concrete Structures. New Delhi: McGraw-Hill, 2015, 67–78
5 Building Code Requirements for Structural Concrete. ACI 318-11, 2011
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