There are various factors that are involved in the design and proportioning of concrete beams reinforced with the newly developed bamboo composite reinforcement. The bond between bamboo composite reinforcement and the concrete matrix and the effect of water penetration as well as alkaline environment of concrete on the mechanical properties of bamboo composite reinforcement are investigated in this study.
2.5.1. Evaluation of the Bond Mechanism between Bamboo Composite Reinforcement and Concrete
Acceptable bond between bamboo composite reinforcement and the concrete matrix ensures a smooth stress transfer between the two materials and, therefore, contributes to the overall load bearing capacity of the reinforced concrete element. In the event of weak bonding between reinforcement and concrete, the stress transfer between reinforcement and concrete matrix will be disrupted and, thus, failure of the member will follow, especially in the tension zone of the concrete element. Therefore, ensuring perfect and smooth bond between concrete and bamboo composite reinforcement would contribute to higher ultimate load-bearing capacity of the reinforced concrete member by activating the maximum mechanical capacities of the bamboo reinforcement through providing an interfacial microstructure that would ensure continuous tensile stress transfer between the two materials.
A detailed study was previously carried out by the authors where a series of pull-out tests were designed to find the most suitable method to enhance the bonding between the two materials to understand the bonding mechanism between bamboo composite reinforcement and concrete, [
32]. In the work that was carried out by the authors, four types of coatings were investigated by applying them on the surface of the reinforcements before being placed into the concrete cylinders to evaluate the bond strength through pull-out tests. The work that was carried out by [
32] showed that an epoxy-based coating with the addition of sand particles provided extra protection without loss of bond strength.
Therefore, a two-component, water-based epoxy system was chosen in combination with sand particles. The waterproof system would block the moisture and water from the interface of the concrete and bamboo composite reinforcement, thus the stress transfer between concrete and reinforcement would be enhanced. Furthermore, the addition of sand particles could improve the surface roughness of reinforcement, which results in an improved bonding strength with the concrete matrix through creating physical and mechanical interlocking systems with the aggregates of the existing concrete matrix [
32].
Normal strength concrete with an average compressive strength of 20 MPa was used to prepare the concrete samples for the beam and pull-out tests. Half dog-bone shaped bars with a cross section size of 10 mm × 10 mm were prepared from the bamboo composite boards that were produced in this study. The dog-bone shape for the grip of the UTM machine helped to eliminate the risk of slippage during the tests. An embedment length of 200 mm was used in this study, which showed the highest bending strength in the earlier work that was carried out by the authors [
32]. Cylinders of 300 mm in height and 150 mm in diameter were used to prepare the concrete pull-out specimens. The recommendations of ASTM C900-15 standard titled “Standard Test Method for Pull-out Strength of Hardened Concrete” were largely followed.
Figure 7 shows the pull-out sample and
Table 2 shows the test set-up and the concrete mix for a volume of 1 m
3 concrete.
Average tensile strength and elastic modulus in compression of the concrete samples were 6.8 MPa and 26,100 Mpa, respectively, after 28 days of curing. For the purpose of the study’s pull out tests have been carried out by preparing a custom-made insert for the Shimadzu UTM machine of type AG-IC 100 kN following the works that were described by [
32]. The setup was made from hardened steel to hold the position of the concrete cylinder during the pull-put test. The loading rate was set to 2 mm/min.
Figure 8 shows a schematic representation of the forces that are associated with the bond strength between the concrete and the bamboo composite reinforcement. P is the pull-out force, l
a is the embedment length in mm, τ is the bond strength in MPa, and
a and
b are the cross-sectional dimensions of the reinforcement in mm.
Equilibrium in
Figure 8 leads to the following:
From Equation (1), the bond strength, τ, is determined while using Equation (2):
A total of 20 pull-out specimens were tested in this study.
2.5.3. Design of the Bamboo Composite Reinforced Concrete Beams according to ACI 440.1R-15
The Bamboo composite reinforcement system has different behavior when compared with steel reinforcement in terms of the physical and mechanical properties. The behavior of bamboo composite reinforcement systems is similar to typical FRP reinforcement that is produced with carbon fiber (CFRP) or glass fiber (GFRP). Bamboo composite materials display an elastic behavior up to the ultimate failure point and do not yield like steel.
In general, bamboo composite reinforcement displays low stiffness when compared with traditional construction materials. Therefore, it is difficult to compete in the mass construction market, where, for instance, the deflections of the building can be critical for medium to high rise structures. Such structures would likely develop cracks due to the lower elastic modulus of the bamboo composite reinforcement. However, there are applications where deflections are not critical in the design, such as low rise, low cost housing solutions for developing countries where the demand for ductility is low and the failure of secondary elements will provide adequate warning of collapse.
ACI 440.1R-15 “Guide for the design and construction of structural concrete reinforced with Fiber Reinforced Polymer (FRP) bars” has provided design guides for the application of FRP materials as reinforcement in concrete. These guides account for the lower ductility of the FRP reinforced concrete when compared with steel reinforced concrete members.
Given the consideration of ductility by ACI 440.1R-15, this design guide was the primary and most relevant guide to be used in this study for evaluating the performance of bamboo composite reinforced concrete beams. The design guides provided by ACI 440.1R-15 are based on the concepts of equilibrium and compatibility (American Concrete Institute, 2015). The ultimate strength design method was preferred over the working stress design approach to achieve comparable results with the methods employed by other standards, such as ACI 318 for steel reinforced concrete design, to design the concrete beams reinforced with bamboo composite reinforcement.
The serviceability limit state could govern the design of concrete members reinforced with bamboo composite materials to prevent excessive deflections as a result of lower ductility given the lower modulus of elasticity of bamboo composite reinforcement compared to steel. Furthermore, ACI 440.1R-15 recommends applying reduction factors to the guaranteed tensile strength to include the effect of various environmental conditions on the properties of FRP reinforcement.
In this study, a conservative reduction factor of 0.80, similar to that for GFRP reinforcement not exposed to earth or extreme weather conditions, has been used for designing the concrete beams for laboratory conditions. No reduction factor has been recommended by ACI 440.1R-15 for the modulus of elasticity, thus a similar reduction factor (0.80) has been used for the design modulus of elasticity of the bamboo composite reinforcement. A similar reduction factor (0.80) was also employed for the rupture strain to calculate the design rupture strain for the determination of the serviceability limit states of design. The average guaranteed rupture strain measured during the tensile tests was 1.35% for bamboo composite reinforcement.
In the case of bamboo composite reinforced concrete member, no ductile behavior is observed when compared to steel reinforcement. Significant elastic elongation is expected for the concrete beams that were reinforced with bamboo composite reinforcements. According to ACI 440.1R-15 and depending on the reinforcement ratio, two modes of failure are expected for bamboo composite reinforced concrete members: bamboo composite reinforcement rupture and concrete crushing according. If the reinforcement ratio is less than the balanced reinforcement ratio, the bamboo composite reinforcement rupture occurs first; otherwise, concrete crushing controls the failure mode.
ACI 440.1R-15 has recommended using the following formulae to calculate the design tensile strength of FRP bars at a bend and in this study for the bamboo composite stirrups.
where:
ffb: is the design tensile strength of the bend portion of FRP reinforcement (MPa),
rb: is the radius of the bend (mm),
db: is the diameter of reinforcing bar (mm), and
ffu: is the design tensile strength of FRP reinforcing bar after employing the reduction factor (MPa).
The nominal flexural strength of FRP or bamboo composite reinforced concrete member can be calculated while using the following formula that was recommended by ACI 440.1R-15 only when the concrete crushing limit state controls the failure.
where
ff is the stress in reinforcement in tension in MPa and can be computed according to the recommendation of ACI 440.1R-15.
In the case of bamboo composite reinforcement rupture mode of failure, the nominal flexural strength can be determined by using the following formulae as per the recommendation of ACI 440.1R-15.
This formula involves the unknown parameter (c), which is the depth to the neutral axis of the concrete cross section. A minimum amount of reinforcement is required for the section during the design process to ensure adequate resistance is provided to the minimum tensile stresses developed as a result of external loadings to prevent sudden failure of the reinforced member due to concrete crushing. The minimum amount of reinforcement for FRP reinforced concrete members according can be found according to ACI 440.1R-15.
Besides cracking, the serviceability limit state needs to be satisfied according to ACI 440.1R-15, where for a simply supported beam one-tenth of the span is recommended as the minimum thickness. Therefore, in this study for a simply supported reinforced concrete beam with a span length of 1050 mm, the minimum required depth is 105 mm. Furthermore, ACI 440.1R-15 recommends the determination of the cracking moment (Mcr) and evaluation of the flexural moment when the member has cracked after deflection, given the lower modulus of elasticity of FRP. ACI 440.1R-15 recommends using the cracked moment of inertia () to calculate the cracking moment.
Given the variation in stiffness along the length of the reinforced concrete member, ACI 440.1R-15 recommends using an effective moment of inertia (
Ie) to estimate the deflection of FRP reinforced concrete beams, according to the following formulae.
where:
Ma is the maximum service load moment and
ϒ accounts for the variation in stiffness along the length of the concrete member and it can be calculated by the following formulae.
Further calculation of cracking moment is described in ACI 440.1R-15. Through the procedure described in ACI 440.1R-15, the initial size of the cross section of the beam is estimated and the deflection limits are checked. However, the shear design of the bamboo composite reinforced concrete beam should also be controlled by providing sufficient stirrups at regular spacing. Concrete shear resistance of FRP reinforced concrete members can be computed according to ACI 440.1R-15.
Furthermore, ACI 440.1R-15 recommends using the following to check the tensile strength of the FRP stirrups for shear design.
where
ffb is the tensile strength of the bent portion of FRP stirrup, which can be calculated according to the following formula.
where
is the ratio of the internal radius of the bent portion of the stirrup to the diameter of the FRP stirrup. Therefore, the required spacing (
s) between the stirrups along the reinforced concrete beam can be computed by following formulae.
The design and calculations of the concrete beams reinforced with bamboo composite reinforcement are carried out according to ACI 440.1R-15, as it is the only relevant design standard available for fiber reinforced composite materials used as reinforcement in concrete, as stated earlier for the purpose of this study.