Abstract
Strengthening the carpentry joints is considered a big challenge for designers to maintain the joined timber elements’ load transfer and integrity. This research work investigates different techniques to strengthen the lap joints in glulam timber beams using carbon fiber-reinforced polymer (CFRP) sheets. For this purpose, 12 specimens of glulam timber beams were tested using the four-point loading method. One of the glulam timber specimens was an intact nonlapped specimen, and the others were lapped at mid-span using half-height lap joints. The lap joints were strengthened using different configurations of the CFRP sheets. The test variables were the clamping scheme, bond length, and reinforcement ratio of the CFRP sheets. The analysis of the test results indicates that the CFRP strengthening configuration could be more effective in strengthening the lapped glulam timber beams when the reinforcement ratio of the longitudinal CFRP sheets was equal to 0.303%, and the wrapping CFRP sheets continued beyond the lapped joint by a distance equal to the beam height. Such a strengthening configuration could succeed in increasing the effective stiffness and ultimate load of the lapped timber specimen to 109 and 110%, respectively, relative to those of the intact nonlapped specimen. Moreover, the results reveal that increasing the length or the reinforcement ratio of the longitudinal CFRP sheets without increasing the width of the wrapping CFRP sheets could not succeed in achieving the required improvements in the structural behavior of the lapped timber beams.
1 Introduction
For ages, wood has been widely used as a structural member in the construction field due to its strength-to-weight ratio, good availability, and ease of work compared to other construction materials [1,2,3,4]. Introducing the glued laminated (glulam) technique in producing timber elements increases their strength-to-weight ratio and makes it easy to produce timber elements with a wide variety of cross-sectional dimensions. However, in many cases, production and transportation issues limit obtaining the required length of glulam timber elements. To obtain the required large length of a timber element, it is necessary to splice two or more timber pieces together using carpentry joints [5,6]. In addition, the carpentry joints are commonly used to perform required interventions, repairing or strengthening works in the existing timber structures [1,4,7]. A carpentry joint is a connection technique that allows timber elements to be assembled together and provides a proper load transfer between them. There are many different forms of carpentry joints; the lap joint is considered one of the easiest forms to connect two timber pieces lengthwise. In the simple form of a lap joint, the interface plane is parallel to the axis of the joined pieces as the wood of one-half of the cross-section height or width of each piece is removed, as shown in Figure 1 [7,8]. The analysis of the whole timber structure is significantly influenced by the behavior of such joints [9]. One of the most critical issues in the design of timber joints is their ability in transfer internal forces between joined elements. The joints are mostly designed to carry axial and shear forces, but sometimes additional enhancements could be introduced to the joints to achieve a certain rotational restriction to carry bending moments [4,5]. However, the bearing capacity of timber structural members with unreinforced joints could never reach that of corresponding intact members [7,10]. The applicable standard (PN-EN 1995-1-1:2010) [9] does not specify any suggestions on how to conduct the right analysis with regard to the structural behavior of the carpentry joints. The current literature in this field is likewise incomplete. Perhaps since craftsmen in more recent times depended mostly on their personal experiences and own practice in this area, there are not enough thorough explanations of how the carpentry joints are made [7,8]. However, while describing the structural behavior of the carpentry joints provides the information needed to design appropriate solutions and interventions for timber connections, it is also necessary to describe the structural behavior of the entire structure. Therefore, research on carpentry joints’ static behavior, repairs, and strengthening techniques is ongoing. In addition to this, it is pointed out that there is a lack in the number of studies that investigate the behavior of carpentry joints under the effect of bending moments [4,11]. Some of the studies done on the behavior of carpentry joints under bending are described briefly later.
Fajman and Máca [12,13,14,15] conducted a series of studies to investigate the effect of pins, keys, dovetails, the number of dowels, and the joint inclination on the structural behavior of scarf joints under bending. They suggested theoretical solutions to predict the effect of the number of dowels and the joint inclination on the structural behavior of scarf joints. Arciszewska-Kedzior et al. [16] utilized a scarf lap joint with inclined sides and dowels made of wood to restore the beam-end in ancient timber beams under bending. The authors concluded that the joint could be most efficient when it included three dowels and was located at the fifth of the beam’s span from the support. Kunecký et al. [17,18] investigated experimentally and by means of the finite element method (FEM) the behavior of a lap timber joint with oblique sides and a dowel under bending. The authors stated that the joint’s effective strength was between 55 and 60% of that of the reference solid beams. Karolak et al. [11] tested experimentally timber beams with carpentry joints of the type stop-splayed scarf joint under bending loads. They found that the timber beams strengthened with wooden pegs and additional steel clamps gave higher failure load and stiffness, while beams strengthened with drawbolts gave the lower values. Ye et al. [10] strengthened the lap joints in standard timber beams of circular cross-section using carbon fiber-reinforced polymer (CFRP) bars, CFRP sheets, and steel bars in addition to drawbolts. The authors came to the conclusion that strengthening the joints using CFRP sheets gave better results than using CFRP bars or steel bras in terms of strength and stiffness. Karolak [8] investigated the behavior of different types of lap timber joints with different numbers of bolts under bending. According to the results of this study, timber beams with joints reached up to 40 and 60% of the reference intact beams’ failure load and stiffness, respectively. It was also noticed that the main stress concentrations were found in the regions close to the bolt’s holes. Karolak and Jasieńko [19] studied experimentally and using FEM the structural behavior of timber beams, including lightning sign scarf joints. They concluded that the vertically jointed beams had higher stiffness than the horizontally jointed beams. Patalas et al. [4] presented numerical analyses to study the structural behavior of stop-splayed scarf joints. On the basis of the results of this study, the authors expected that the extreme location of bolts, using additional clamping steel plates and strengthening the joint bottom surface using CFRP tapes, could significantly enhance the joint’s loading resistance and stiffness.
FRP materials are synthetic composites produced using high-strength fibers [20,21]. The FRP reinforcing method was first introduced for strengthening concrete elements, as shown, for instance, by Kaiser [22], Ritchie et al. [23], and Saadatmanesh and Ehsani [24]. FRP composites are advantageous due to their high strength, elastic modulus, and resistance to corrosion. When it comes to reinforcing wood, CFRPs have various benefits. They have a low density, high durability, and easily adhere to wood. When the CFRP composites are connected to a tension face of a timber element, tensile stresses are transferred from the timber, allowing the compression fibers of the wood section to yield and better use the material’s flexural capacity [25]. Beginning in 1992, CFRP was first used to reinforce timber [26,27]. Over the last three decades, many experimental, analytical, and computational studies have been conducted to learn more about the topic of timber reinforcement using CFRP materials. It was found that reinforcing timber members with CFRP materials improves their strength, ductility, and stiffness [25,28,29,30].
Yeboah and Gkantou [31] presented a general theoretical model to estimate the bending moment capacity of timber beams strengthened using FRP products based on assumption of the full bond between wood and FRP materials. According to this model, the theoretical resistance moment (M u,theoretical) of timber beam section strengthened with FRP materials can be calculated from the expression in equation (1) based on the equilibrium of the strengthened timber beam cross-section shown in Figure 2.
where F is an abbreviation for the subscript’s force and d stands for the depth zone of the subscript. The subscripts w and f represent timber and FRP, respectively, and the subscripts c and t represent compression and tension, respectively. a fc and a ft stand for the arm of the FRP in compression and tension, respectively. While d c is consisted of d c1 and d c2 for the plastic and elastic timber part region, respectively. Moreover, ε stands for the strain of the subscript and the subscripts y and u correspond to yield and ultimate state, respectively.
![Figure 2
Equilibrium of the strengthened timber beam cross section [31].](/document/doi/10.1515/eng-2022-0494/asset/graphic/j_eng-2022-0494_fig_002.jpg)
Equilibrium of the strengthened timber beam cross section [31].
1.1 Research significance
The issue of strengthening the lap joints in the glulam timber beams considered a challenging for designers to maintain the joint load transfer and integrity to obtain the required large length of a timber element as well as to perform required interventions and repairing works in the existing timber structures. Notably, most researchers who investigated timber joints reached the conclusion that further experimental and numerical research is needed to learn more about the most appropriate strengthening and repairing techniques for the joints. At the same time, not much research has been done on how to strengthen timber joints with CFRP materials, even though using these materials to strengthen wood elements has shown promising results. Therefore, this article investigates experimentally different techniques to strengthen the lap joints subjected to bending in glulam timber beams using CFRP sheets to find out the more effective technique that can strengthen such lap joints and achieve the better load transfer and integrity between the joined elements. Continuous nonspliced timber beam and spliced timber beams with strengthened and not strengthened half height lap joints were experimentally tested to examine the ultimate load, failure modes, and effective flexural stiffness. The factors, such as the clamping scheme, bond length, and reinforcement ratio of CFRP sheets that affect the structural behavior of the lap joint will be studied. As the literature survey demonstrated, there are only limited descriptions of research and analyses of strengthening such joints using FRP products. That is what makes the information in the paper novel, and it also represents the author’s contribution to the development of this field of science.
2 Materials and methods
2.1 Test beams
Twelve homogeneous glulam timber beam specimens were included in this study. Each beam had overall dimensions of 70 mm in width, 120 mm in height, and 1,500 mm in length and was made of six laminates manufactured by HS Timber Group. The bending strength of the glulam timber beams was 46.5 MPa, and the compressive strength was 39 MPa. The tests were carried out in accordance with EN 408 [32]. One timber beam specimen was an intact nonspliced beam without any lap joints, while the other 11 timber specimens were spliced beams. Each spliced timber beam was constructed of two elements joined together by means of a half-height lap joint at mid-span, where the interface plane was parallel to the axis of the joined pieces as the wood of one-half of the cross-section height of each piece was removed, as shown in Figure 3. The joint was set at mid-span in the region of maximum bending moment to make sure that the joint is subjected to bending and the behavior of the joint under bending governs the behavior of the whole beam. The lapped parts of each spliced beam were glued using PVA water-based glue at the interface plane without the use of any bolts to avoid stress concentration near the bolt hole. The lapped parts were held together and pressured using manually activated clamps until the glue had completely cured. One spliced timber beam was tested without any additional strengthening. The remaining ten spliced timber beams were strengthened using different clamping schemes of CFRP sheets bonded around the beam cross section and different bond lengths and reinforcement ratios of longitudinal CFRP sheets stuck on the beam bottom face. The details of the tested timber specimens are described in Table 1 and Figure 4. Figure 4a illustrates the drawing details of the specimen B2 (S) that was spliced at mid-span without any strengthening. The joint length was equal to 240 mm, which was designed to be 2 times the specimen depth. The joint length of 240 mm was kept constant in all the spliced specimens. Figure 4b shows the design drawing of specimen B3 (SW28), which was strengthened by fully wrapping the joint using a 280-mm-wide CFRP strip. The design drawing of specimen B4 (SIW9) is shown in Figure 4c. The joint of this specimen was strengthened using two inclined wrapping CFRP strips. The width of each strip was 90 mm. Each strip was inclined by 45° relative to the longitudinal axis of the specimen. The strips were stuck orthogonally to each other so that each strip covered the lower vertical interface plane of the joint on each side of the specimen. At the same time, both inclined strips were passed over the lower horizontal interface plane on the bottom of the specimen. Figure 4d illustrates the design details of the specimens B5 (SL48P1) and B6 (SL72P1). The specimen B5 (SL48P1) was strengthened using a longitudinal CFRP strip of 480 mm long bonded on the bottom side so that the strip extended 120 mm (equal to the specimen depth) outside the joint on each side. One U-shaped CFRP sheet of 50 mm wide was stuck at each end of the longitudinal strip as an anchoring technique. The only difference between specimens B5 (SL48P1) and B6 (SL72P1) was the bonded length of the longitudinal CFRP strip. In the B6 (SL72P1), the bonded length was equal to 720 mm, which means the longitudinal strip extended 240 mm (equal to twice the specimen depth) outside the joint on each side. Figure 4e shows the design details of the specimens B7 (SW28L48P1) and B8 (SW28L72P1). The specimen B7 (SW28L48P1) was strengthened using both the longitudinal strengthening scheme used in B5 and the wrapping scheme used in B3. The only difference between specimens B7 (SW28L48P1) and B8 (SW28L72P1) was the bonded length of the longitudinal strips, as described between specimens B5 and B6. The strengthening schemes of specimens B9 (SW28L48P2) and B10 (SW28L72P2) were similar to those of specimens B7 and B8, respectively, but with an additional ply of the CFRP longitudinal strip in each one. Finally, Figure 4f illustrates the drawing details of the specimens B11 (SW48L72P1) and B12 (SW48L72P2). In the specimen B11 (SW48L72P1), the width of the wrapping CFRP strip was 480 mm, which means the wrapping CFRP strip was extended 120 mm (equal to the specimen depth) beyond the joint on each side. In addition to the longitudinal CFRP strip of 720 mm long bonded on the bottom side, one U-shaped CFRP sheet of 50 mm wide was provided at each end. The only difference between specimens B11 (SW48L72P1) and B12 (SW48L72P2) was using an additional ply of the longitudinal CFRP strip in specimen B12.

Half-height lap joint.
Details of the tested timber beam specimens
| Specimens symbol* | Joint length (mm) | CFRP sheet | ||||||
|---|---|---|---|---|---|---|---|---|
| Wrap | Longitudinal on bottom face | |||||||
| Angle (°) | Width (mm) | Length (mm) | Width (mm) | Plies | Area of CFRP (%) | Width of U-sheet at each end (mm) | ||
| B1 (NON.S) | — | — | — | — | — | — | — | — |
| B2 (S) | 240 | — | — | — | — | — | — | — |
| B3 (SW28) | 240 | 90 | 280 | — | — | — | — | — |
| B4 (SIW9) | 240 | 45 | 90 | — | — | — | — | — |
| B5 (SL48P1) | 240 | — | — | 480 | 70 | 1 | 0.152 | 50 |
| B6 (SL72P1) | 240 | — | — | 720 | 70 | 1 | 0.152 | 50 |
| B7 (SW28L48P1) | 240 | 90 | 280 | 480 | 70 | 1 | 0.152 | 50 |
| B8 (SW28L72P1) | 240 | 90 | 280 | 720 | 70 | 1 | 0.152 | 50 |
| B9 (SW28L48P2) | 240 | 90 | 280 | 480 | 70 + 70 | 2 | 0.303 | 50 |
| B10 (SW28L72P2) | 240 | 90 | 280 | 720 | 70 + 70 | 2 | 0.303 | 50 |
| B11 (SW48L72P1) | 240 | 90 | 480 | 720 | 70 | 1 | 0.152 | 50 |
| B12 (SW48L72P2) | 240 | 90 | 480 | 720 | 70 + 70 | 2 | 0.303 | 50 |
*S: Spliced beam, W: Wrapping sheet, IW: Inclined wrapping sheet, L: Longitudinal sheet, P1: 1 Ply of longitudinal sheet, P2: 2 Plies of longitudinal sheet, number after the letter “W”: Width of Wrapping sheet in cm, and number after the letter “L”: Length of Longitudinal sheet in cm.

Design drawings of the tested timber specimens. (a) Specimen B2 (S). (b) Specimen B3 (SW28). (c) Specimen B4 (SIW9). Gray strip was installed first and then red strip was installed. (d) Specimens B5 (SL48P1) and B6 (SL72P1). (e) Specimens B7 (SW28L48P1) and B8 (SW28L72P1). (f) Specimens B11 (SW48L72P1) and B12 (SW48L72P2).
2.2 CFRP sheets and epoxy resin
The used CFRP sheets were 300 C carbon fiber fabric produced by Sika Group (Switzerland), and the bonding agent that was used to stick the CFRP sheet on wood was Sikadur 330 epoxy resin produced by Sika Group (Switzerland). The properties of the used CFRP sheets and epoxy resin are presented in Tables 2 and 3, respectively.
Properties of CFRP sheet
| Type | Area density (g/m2) | Thickness (mm) | E in-tension (GPa) | Tensile strength (MPa) | Elongation at break |
|---|---|---|---|---|---|
| Unidirectional Sika-Wrap®-300 C | 304 | 0.167 | 230 | 4,000 | 1.7% |
Properties of epoxy resin
| Type | Density (kg/lt) | E tension (MPa) | Tensile strength (MPa) | Elongation at break |
|---|---|---|---|---|
| Sika-dur®-330 | 1.31 | 4,500 | 30 | 0.9% |
The CFRP sheets were installed on the wood using a “dry lay-up process” technique. The surface of the timber specimen was treated with sandpaper and thoroughly cleansed of any potential re-deposited particles before applying the epoxy. The two parts of the epoxy resin were mixed according to the manufacturer’s datasheet. The epoxy resin was applied concurrently to both the CFRP sheet and the timber surface. After that, a CFRP sheet was put on the timber surface. The CFRP sheet was then lightly pressed using a metallic roller. In the case of the specimens strengthened with more than one ply of CFRP sheets, the new ply was applied to the latter ply after being epoxy-impregnated in the so-called the wet-on-wet procedure.
3 Instrumentation and test procedure
The testing of the timber beam specimens was performed in the structural laboratory of the Faculty of Engineering at the University of Kufa. All the tested timber beams were examined under a four-point loading setup to make the middle third of the specimen span under pure bending. A hydraulic machine of 2,000 kN capacity was used to conduct the tests, with a loading rate of 2.5 kN/min. The vertical displacement at the middle of the timber beam was measured using a digital dial gauge of 50 mm capacity. The testing arrangement is shown in Figure 5.

Testing arrangement. (a) Schematic view of 4-point-loading setup. (b) View of a specimen on the test stand.
4 Results
With the goal of gaining a better understanding and realizing appropriate interpretations for the outputs of the tests carried out in this study, the experimental data are presented and discussed in terms of loading, midspan vertical displacement response, failure mode, and effective stiffness. Particularly, this work focused on studying the effects of various CFRP sheet-strengthening techniques on the flexural behavior of the spliced glulam timber beam specimens. Consequently, additional tables and graph illustrations are provided and analyzed to offer reliable estimates of the improvement in the flexural behavior of the spliced glulam timber beams that was achieved due to these strengthening schemes.
4.1 Load and vertical mid-span displacement responses
To properly study the structural behavior of the spliced timber beam specimens, the relationship between the loading values of each tested timber beam and their corresponding vertical mid-span displacements was plotted in a graphical representation as shown in Figure 6. Hence, 12 curves are shown in Figure 6, one for each timber specimen. The ordinate of this figure corresponds to the values of the applied load on the timber beams, and its abscissa corresponds to the corresponding vertical mid-span displacement values. To enable direct comparison of the outcomes of all the tests, the 12 curves are plotted on a single graph. Moreover, Table 4 lists the outcomes of ultimate loads and associated values of ultimate vertical displacement for the tested glulam timber beams. The ultimate load and vertical displacement at mid-span for the control nonspliced beam B1 (NON.S) were 33 kN and 17.5 mm, respectively, while the spliced nonstrengthened beam B2 (S) failed prematurely at a load of 3.6 kN and a mid-span deflection of 6.28 mm. The ultimate load values for the spliced timber beams with wrapped joints B3 (SW28) and B4 (SIW9) were 15.6 and 18.6 kN, respectively. The load–vertical displacement curves of these two beams, B3 and B4, were running near each other in a similar manner and produced larger vertical displacements among other tested specimens, which were 21.4 mm for B3 and 22.19 mm for B4. The curves for spliced specimens with bottom-strengthened joints B5 (SL48P1) and B6 (SL48P1) were running together and stiffer than those of B3 and B4 until the load of 10 kN, and then the curve of specimen B6 deviated from that of specimen B5 and failed at a load of 13.6 kN. The specimen B5 continued to gain load until it failed at a load of 16 kN. The load–vertical displacement responses for the spliced specimens with both bottom-strengthened and wrapped joints B7 (SW28L48P1) and B8 (SW28L72P1) were stiffer than those of specimens with either only wrapping or only bottom strengthening. The response of specimen B8 was nearly similar to that of specimen B7 up to a load of 18 kN, when the B8 suffered from an excessive increase in the deflection and failed while the specimen B7 continued gaining load until it failed at a load of 25 kN. The responses for the spliced specimens with wrapped and double bottom-strengthened joints B9 (SW28L48P2) and B10 (SW28L72P2) were running together and stiffer than that of the control nonspliced specimen B1 until the load of 22.5 kN. Then the curve of specimen B10 deviated from that of specimen B9 until a load of 28 kN was reached when this specimen failed after an excessive increase in the deflection. While specimen B9 continued to gain a consentient increase in the load and deflection, it failed at a load of 28 kN, which is less than that of the control nonspliced specimen B1 (33 kN). For the specimen B11 (SW48L72P1), which was similar to the B8 but with a wider wrap (48 mm), the load–vertical displacement response was nearly coinciding with that of the control nonspliced specimen B1 till the load of 22 kN, and then it descended more and the specimen failed at a load of 25 kN. For specimen B12 (SW48L72P2), which was similar to B10 but with a wider wrap (48 mm), the response was stiffer than all those of the other tested timber beams, even than that of the control non-spliced specimen B1; it failed at an ultimate load and vertical displacement of 36 kN and 17.23 mm, respectively.

Load versus mid-span vertical displacement for the tested glulam timber specimens.
Test results for tested glulam timber specimens
| Specimen | Ultimate load, Pu (kN) | Ultimate deflection (mm) | (Pu)i/(Pu)B1* | Failure mode |
|---|---|---|---|---|
| B1 (NON.S) | 33 | 17.5 | 1.00 | Simple tension in lower side of the beam (Flexural failure) |
| B2 (S) | 3.6 | 6.28 | 0.11 | Joint loosening |
| B3 (SW28) | 15.6 | 21.4 | 0.47 | Delamination crack between upper and lower parts of the beam at side of the joint |
| B4 (SIW9) | 18.6 | 22.19 | 0.56 | Bond failure followed by rupture of inclined wrapping CFRP sheet |
| B5 (SL48P1) | 16 | 13.92 | 0.48 | Bond failure of longitudinal CFRP sheet |
| B6 (SL72P1) | 13.5 | 20 | 0.41 | Bond failure of longitudinal CFRP sheet |
| B7 (SW28L48P1) | 25 | 18 | 0.76 | Bond failure of longitudinal CFRP sheet followed by delamination crack at side of the joint |
| B8 (SW28L72P1) | 18 | 10.8 | 0.55 | Delamination crack between upper and lower parts of the beam at side of the joint |
| B9 (SW28L48P2) | 28 | 11.5 | 0.85 | Bond failure of longitudinal CFRP sheet |
| B10 (SW28L72P2) | 28 | 16.5 | 0.85 | Bond failure of longitudinal CFRP sheet followed by delamination crack |
| B11 (SW48L72P1) | 25 | 11.91 | 0.76 | Rupture of longitudinal CFRP sheet |
| B12 (SW48L72P2) | 36 | 17.23 | 1.10 | Bond failure of longitudinal CFRP |
*(Pu)i: failure load of considered timber beam, (Pu)B1: failure load of control timber beam B1.
4.2 Mode of failure
Table 4 lists also the failure mode of each tested glulam timber beam. Figure 7 presents the failure modes of the tested specimens. According to Figure 7a, the tension failure of the wood fibers on the underside of the control beam B1 caused it to fail. This type of failure is referred to as simple tension and is a flexural failure [33,34]. The nonstrengthened spliced timber specimen B2 separated early into two segments due to joint loosening without any evidence of tensile or compressive failure but rather due to failure of glue material at the horizontal plane of the lap joint, as shown in Figure 7b. The spliced specimen with fully wrapped joint B3 failed due to a delamination crack that initiated at the right part of the lap joint. This crack led to the separation of the lower part (timber laminates) of the right segment and the opening of the lower seam of the joint. The failure of specimen B4 was characterized by debonding in the inclined CFRP sheet along the lower vertical interface of the joint, followed by rupture of this inclined sheet at the lower corners of the lap joint, which coincided with opening the lower seam of the joint. The bond failure was also prevalent in both B5 and B6 specimens. In each of these specimens, the left part of the joint moved downward relative to the right part of the joint. The bond failure of B5 was marked by the delamination of some of the lower wooden fibers with the CFRP sheet. In specimen B6, the bond failure occurred at the interface between the CFRP sheet and wood surface to the right of the joint seam. The delamination crack between the lower and upper parts of the right segment was the main reason for the failure mode of specimens B7 and B8. The failure of B7 was preceded by signs of debonding in the longitudinal CFRP sheet, while no evidence of debonding was marked in specimen B8. Although the bonded length of specimen B8 was larger than that of specimen B7, the failure load of B8 was smaller than that of B7. For specimens B9, the failure was due to debonding of longitudinal CFRP plies, which led to tearing the wrapping and clamping CFRP sheets at the right of the joint. While for specimen B10, the failure was due to debonding of longitudinal CFRP plies and a delamination crack between the lower and upper parts of the right segment. Furthermore, for specimen B11, the failure occurred owing to rapture of the single longitudinal underside CFRP ply at the lower seam of the joint without any marked signs of debonding or delamination crack. Finally, for specimen B12, the failure was governed by debonding cracks outside the jointed region at the end of the longitudinal underside CFRP sheets, which coincided with flexural cracks within the maximum constant bending moment region.

Failure mode of tested glulam timber specimens. (a) B1. (b) B2. (c) B5. (d) B6. (e) B8. (f) B9. (g) B10. (h) B12.
4.3 Effective stiffness
For the structural members, the effective stiffness can be estimated based on the load–displacement plots as the slope of the line crossing the point where the applied force reaches 75% of the nominal strength. Thus, the effective stiffness can be expressed as in equation (2) [35].
where
The details of the effective stiffness for the tested timber beams are listed in Table 5. Figure 8 illustrates a comparison between the effective stiffness values of each tested specimen. Based on Table 5 and Figure 8, it is clear that the effective stiffness of the glulam timber beam dropped drastically due to the presence of a nonstrengthened lap joint, as in the specimen B2 (S). It is noticed that the strengthening schemes containing only CFRP wrapping sheets could not succeed in achieving a considerable enhancement in the effective stiffness of the spliced glulam timber beams, as in specimens B3 (SW28) and B4 (SIW9). Although it was noted that the improvement in the effective stiffness values for specimens with only underside strengthening CFRP sheets, as in B5 (SL48P1) and B6 (SL72P1) beams, was better than that due to only wrapping CFRP sheets, it is still not large enough to recover the effective stiffness of the spliced specimens. It is clearly observed that the increases in the stiffness value were more pronounced when the strengthening schemes of the spliced beams consisted of the longitudinal underside and wrapping CFRP sheets. The effective stiffness values of spliced specimens B7 (SW28L48P1) and B8 (SW28L72P1) were 81 and 95%, respectively, of that of the nonspliced one. Moreover, the effective stiffness values were higher than that of the nonspliced one for the spliced specimens B9 (SW28L48P2), B10 (SW28L72P2), B11 (SW48L72P1), and B12 (SW48L72P2). The largest improvement in the effective stiffness was achieved for B12 (SW48L72P2), where it was 1.09% of that of the nonspliced intact specimen.
Details of the effective stiffness for tested glulam timber beams
| Specimen |
|
|
|
K
eff (
|
(K eff)i/(K eff)B1* |
|---|---|---|---|---|---|
| B1 (NON.S) | 33 | 24.75 | 11.38 | 2.175 | 1 |
| B2 (S) | 3.6 | 2.70 | 3.13 | 0.863 | 0.40 |
| B3 (SW28) | 15.6 | 11.70 | 12.38 | 0.945 | 0.43 |
| B4 (SIW9) | 18.6 | 13.95 | 13.25 | 1.053 | 0.48 |
| B5 (SL48P1) | 16 | 12.00 | 9.12 | 1.316 | 0.60 |
| B6 (SL72P1) | 13.5 | 10.13 | 6.63 | 1.527 | 0.70 |
| B7 (SW28L48P1) | 25 | 18.75 | 10.60 | 1.769 | 0.81 |
| B8 (SW28L72P1) | 18 | 13.50 | 6.50 | 2.077 | 0.95 |
| B9 (SW28L48P2) | 28 | 21.00 | 9.13 | 2.300 | 1.06 |
| B10 (SW28L72P2) | 28 | 21.00 | 9.13 | 2.300 | 1.06 |
| B11 (SW48L72P1) | 25 | 18.75 | 8.38 | 2.237 | 1.03 |
| B12 (SW48L72P2) | 36 | 27.00 | 11.38 | 2.373 | 1.09 |
*(K eff)i: effective stiffness of considered timber beam, (K eff)B1: effective stiffness of control timber beam B1.

Effective stiffness for tested beams.
5 Discussion
The failure of the control intact beam B1 was a typical tension-controlled flexural failure. This failure can be attributed to that the flexural tensile stresses exceeded the tensile strength of wooden fibers on the lower side of the timber beam in the region of the maximum bending moment. On the other hand, the joint loosening that occurred in the nonstrengthened spliced specimen B2 was due to the failure of the bonding material along the joint’s horizontal plane between the opposite surfaces of the lapped segments. As there was no other component that could counteract the flexural tensile stresses that developed in the lower part of the joint. Therefore, this specimen exhibited weak stiffness and failed prematurely.
5.1 Effect of CFRP wrapping sheets
To study the influence of wrapping the joint with CFRP sheets on the behavior of the spliced glulam timber beams, the load–vertical displacement curve of nonstrengthened spliced beam B2 is plotted in Figure 9 versus those curves of B3 and B4, which were strengthened with vertical and 45° inclined CFRP wrapping sheets, respectively. Although it is seen that the wrapping of the joint could improve the structural behavior of the lapped beams, the failure loads increased by 36 and 45% for B3 and B4, respectively, compared with the control intact beam. The corresponding increases in effective stiffness were 3 and 8%. However, it is clear that the strengthening schemes involving only wrapping the joint were not adequate to achieve the required improvement in the structural behavior of the spliced timber beams. This can be interpreted by saying that when the CFRP sheet wrapped the joint, it clamped the spliced parts together and prevented any relative movement between them. On the other hand, as the applied load increased, the lower seam of the joint started to open because of flexural tensile stresses at the underside of the beam. As a result, at the right of the joint, only the upper half of the cross section was able to withstand the flexural stresses, which caused delamination between the upper and lower parts of the right segment and reduced its effective depth, as illustrated in Figure 10.

Effect of CFRP wrapping sheets.

Joint loosening and delamination failure modes.
The load transfer and stress concentrations through the abrupt change in the depth of the timber beam at the joint can be interpreted by means of the “structural element model” that was proposed by Serrano et al. [36,37]. This model is assumed to be consisted of two Timoshenko beam elements jointed by an elastic spring and a fictitious rigid rod as shown in Figure 11. The lapped part of the right segment can be represented by beam 1, and the entire nondelaminated (un-cracked) cross section of the right segment in front of the crack is represented by beam 3. The additional rotation at the tip of the delamination crack is simulated by the elastic spring, which results in increased distortion and compliance.
Why the specimen with 45° inclined CFRP sheets gave better strengthening than that of the vertical CFRP sheet may be attributed to the fact that, in addition to the clamping vertical component, the inclined sheets provided a horizontal component that contributed to resisting tensile stresses. Moreover, the inclined sheets were extended at the right of the joint, which counteracted the delamination between the upper and lower parts of the right segment. It is important to mention that the installation of the inclined sheets was more difficult than that of the vertical sheets, and the total surface area of the CFRP sheets used in the inclined wrap was larger than that used in the vertical wrap by about 18%.
5.2 Effect of CFRP longitudinal underside sheets
The load–vertical displacement curves of spliced timber beams with different bonded lengths of longitudinal underside CFRP sheets, namely, 480 and 720 mm, were plotted in Figure 12 together with those of the intact and nonstrengthened spliced beams to study the influence of strengthening the joint with the underside CFRP sheets on the behavior of the spliced glulam timber beams. It is noted that the failure load of the spliced timber beam increased by 37 and 30% due to strengthening the lapped region with longitudinal underside CFRP sheets of lengths of 480 mm (for beam B5) and 720 mm (for beam B6), respectively, compared with the control intact beam. The corresponding increases in effective stiffness were 20 and 30%. In general, the improvement in the structural behavior of the lapped timber beams due to this strengthening scheme can be ascribed to that the underside CFRP sheet tied the opposite sides of the joint lower seam and contributed to counteracting the flexural tensile stresses. However, the underside CFRP sheets debonded at relatively low load values. This is due to that the left lapped part deflected downward and thereby caused the peeling off of the CFRP sheet from the right part, as shown in Figure 7d. Moreover, it is observed that specimen B5 that was strengthened with the shorter CFRP sheet (480 mm) endured an ultimate load value higher than that of specimen B6 that was strengthened with the longer CFRP sheet (720 mm). This can be interpreted by that in the case of the CFRP sheet length of 480 mm, the U-shaped CFRP sheets, which were installed at the ends of the longitudinal CFRP sheet, were closer to the joint than those in the case of a sheet length of 720 mm and thereby provided better anchorage against the peeling off stresses.

Effect of CFRP longitudinal underside sheets.
5.3 Effect of combination of wrapping and underside CFRP sheets
To study the effect of strengthening the lap joint with both wrapping and longitudinal underside CFRP sheets on the behavior of spliced timber beams, the load–vertical displacement curves of spliced beams with such strengthening schemes are plotted together with those curves of spliced beams with wrapping CFRP sheet only or with longitudinal underside CFRP sheet only in Figure 13. It is clear that strengthening the joint with both wrapping and longitudinal underside CFRP sheets made the improvement in the structural behavior of the spliced timber beams more pronounced and significant than when the joint was strengthened with either wrapping or longitudinal underside CFRP sheets. The ultimate load and the effective stiffness of the spliced beams increased due to using such strengthening schemes up to 65 and 55%, respectively, compared with the control intact beam. This is because this strengthening scheme, in addition to clamping the lapped horizontal parts, tied the vertical sides of the lower seam of the joint and contributed to resisting the tensile stresses and improving the integrity of the joined segments. It was noticed again that the specimen of shorter underside CFRP sheet B7 gave a higher ultimate load (25 kN) than that of the specimen of longer underside CFRP sheet B8 (18 kN). This can be attributed to that in the specimen with the longer underside sheet, the U-shaped anchorage CFRP sheets were relatively far away from the joint and did not contribute to preventing or delaying the delamination between the upper and lower halves of the right segment, which weakened the specimen at the right segment by reducing its effective depth. On the other hand, in the specimen with the shorter underside sheet, the U-shaped anchorage CFRP sheets were relatively near the joint and delayed the delamination between the upper and lower halves of the right segment. When this specimen reached a relatively higher load value (21 kN), the short underside CFRP sheet underwent signs of debonding failure, which weakened the joint and then caused the delamination failure at the load value of 25 kN.

Effect of wrapping and underside CFRP sheets.
5.4 Effect of increasing reinforcement ratio of the underside CFRP sheets
To inspect the influence of increasing the reinforcement ratio of the longitudinal underside CFRP sheets on the structural behavior of the spliced timber beams, the load–vertical displacement curves of spliced timber beams with one and two plies of the underside CFRP sheets were plotted together in Figure 14 in comparison with that of the intact beam. Figure 14 shows clearly that increasing the area ratio of the underside CFRP sheets led to increasing the flexural stiffness of spliced timber beams. The effective stiffness of specimens B9 and B10 with a CFRP area ratio of 0.303% (with different bonded lengths) increased by 30 and 11%, respectively, relative to the corresponding specimens with a CFRP area ratio of 0.152%. The corresponding increases in the ultimate failure load were 12 and 56%, respectively. Generally, these enhancements can be attributed to that increasing the CFRP area ratio by using an additional CFRP ply resulted in an increase in the area of the component that resists tensile stresses and ties between the opposite sides of the joint lower seam. Thereby, this led to improving the joint integrity and reducing the deflection and the relative movement between the lapped parts. It is also noticed that specimen B10 exerted a relatively excessive vertical displacement before the failure. This can be ascribed to the fact that the failure of specimen B10 occurred in two steps: debonding followed by delamination. The effect of the U-shaped anchorage CFRP sheet near the joint in the specimen of the shorter underside CFRP sheets (B8) was also marked where it could prevent the delamination in the right segment.

Effect of reinforcement ratio of the underside CFRP sheets.
5.5 Effect of increasing the width of CFRP wrapping sheet
Figure 15 was plotted to study the influence of increasing the width of the CFRP wrapping sheet on the structural behavior of the spliced timber beams. Figure 15 includes the load–vertical displacement curves of the specimens with CFRP wrapping sheets of 48 mm width (B11 and B12) together with those curves of the corresponding specimens with CFRP wrapping sheets of 28 mm width (B8 and B10). It is clear that increasing the width of the CFRP wrapping sheets led to increases in the flexural effective stiffness and ultimate load values of the spliced timber beams. The ultimate load and effective stiffness of specimen B11 (with a single ply of longitudinal underside CFRP sheet) increased by 39 and 8%, respectively, relative to those of the corresponding specimen B8. As well, the failure mode was changed from the delamination crack in specimen B8 to the rapture of the longitudinal underside CFRP sheet in specimen B11. The effect of increasing the width of CFRP wrapping sheets was more significant in specimen B12 (with double plies of longitudinal underside CFRP sheet). The largest improvements in the effective stiffness and ultimate load were achieved in this specimen (B12), where its effective stiffness and ultimate load were higher than those of the nonspliced intact specimen by 9 and 10%, respectively. Moreover, the lapped parts of specimen B12 acted integrally as one unit, and failure occurred outside the region of the constant maximum bending moment. This was because increasing the width of the CFRP wrapping sheets could succeed in providing adequate clamping to the lapped and laminated timber layers in addition to anchoring the longitudinal CFRP sheets along the region of constant maximum bending moment. Consequently, this led to preventing the debonding and delamination failures in the region of constant maximum bending moment and allowed greater use of the tensile strength available in the longitudinal CFRP sheets.

Effect of the width of CFRP.
Ultimately, the results of this study conform to the results that were obtained by Ye et al. [10] when they strengthened the lap joints in standard (not laminated) timber beams of circular cross section using CFRP sheets under bending. They could achieve an increase in the ultimate load of the lapped timber beam by 112% relative to that of the intact beam when they increased the CFRP reinforcement ratio to 0.34% and used four clamping CFRP sheets – two at the ends of the lap joint and two at the ends of the longitudinal CFRP sheet in addition to two steel bolts within the joint.
6 Conclusions
The article focused on studying the flexural behavior of glulam timber beams with half height lap joints strengthened using CFRP sheets in terms of ultimate load, failure mode, and effective flexural stiffness. Based on analyzing the experimental results of the 12 adopted specimens, the following can be concluded:
The experimental tests of this study demonstrate the effectiveness of using CFRP sheets in reinforcing the half-height lap joints in glulam timber beams under bending. The findings show that strengthening the half-height lap joints using CFRP sheets led to considerable improvements in the structural behavior of the glulam timber beams that contained such joints.
The experimental data indicate that strengthening the joints with both wrapping and longitudinal underside CFRP sheets made the improvement in the structural behavior of the spliced timber beams more pronounced and significant than when the joints were strengthened with either wrapping or longitudinal underside CFRP sheets. The longitudinal CFRP sheets tied the vertical opposite sides of the lower seam of the joint and contributed to resisting the tensile stresses, and the wrapping CFRP sheets clamped the lapped horizontal parts and the laminated timber layers, which led to improving the integrality of the joined segments.
Moreover, the results reveal that increasing the length or the reinforcement ratio of the longitudinal CFRP sheets without increasing the width of the wrapping CFRP sheets could not succeed in achieving the required improvements in the structural behavior of the lapped timber beams. More specifically, the results demonstrate that to obtain the greater use of the tensile strength available in the longitudinal CFRP sheets, it was required to increase the width of the wrapping CFRP sheets to be continued outside the joint by a distance equal to the beam height (120 mm). This is because increasing the width of the CFRP wrapping sheets led to adequate clamping of the lapped and laminated timber layers in addition to anchoring the longitudinal CFRP sheets for a sufficient length.
Ultimately, the research found that the configuration of CFRP sheets could be more effective in strengthening the lapped glulam timber beams when the reinforcement ratio of the longitudinal CFRP sheets was equal to 0.303% and the wrapping CFRP sheets continued beyond the joint by a distance equal to the beam height. Such a strengthening configuration could succeed in increasing the effective stiffness and ultimate load of the lapped timber specimen to 109 and 110, respectively, relative to those of the intact nonlapped specimen.
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Conflict of interest: The authors state no conflict of interest.
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Data availability statement: Most datasets generated and analyzed in this study are comprised in this submitted manuscript. The other datasets are available on reasonable request from the corresponding author with the attached information.
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- A comparative analysis of the energy dissipation efficiency of various piano key weir types
- Special Issue: Transport 2022 - Part II
- Variability in road surface temperature in urban road network – A case study making use of mobile measurements
- Special Issue: BCEE5-2023
- Evaluation of reclaimed asphalt mixtures rejuvenated with waste engine oil to resist rutting deformation
- Assessment of potential resistance to moisture damage and fatigue cracks of asphalt mixture modified with ground granulated blast furnace slag
- Investigating seismic response in adjacent structures: A study on the impact of buildings’ orientation and distance considering soil–structure interaction
- Improvement of porosity of mortar using polyethylene glycol pre-polymer-impregnated mortar
- Three-dimensional analysis of steel beam-column bolted connections
- Assessment of agricultural drought in Iraq employing Landsat and MODIS imagery
- Performance evaluation of grouted porous asphalt concrete
- Optimization of local modified metakaolin-based geopolymer concrete by Taguchi method
- Effect of waste tire products on some characteristics of roller-compacted concrete
- Studying the lateral displacement of retaining wall supporting sandy soil under dynamic loads
- Seismic performance evaluation of concrete buttress dram (Dynamic linear analysis)
- Behavior of soil reinforced with micropiles
- Possibility of production high strength lightweight concrete containing organic waste aggregate and recycled steel fibers
- An investigation of self-sensing and mechanical properties of smart engineered cementitious composites reinforced with functional materials
- Forecasting changes in precipitation and temperatures of a regional watershed in Northern Iraq using LARS-WG model
- Experimental investigation of dynamic soil properties for modeling energy-absorbing layers
- Numerical investigation of the effect of longitudinal steel reinforcement ratio on the ductility of concrete beams
- An experimental study on the tensile properties of reinforced asphalt pavement
- Self-sensing behavior of hot asphalt mixture with steel fiber-based additive
- Behavior of ultra-high-performance concrete deep beams reinforced by basalt fibers
- Optimizing asphalt binder performance with various PET types
- Investigation of the hydraulic characteristics and homogeneity of the microstructure of the air voids in the sustainable rigid pavement
- Enhanced biogas production from municipal solid waste via digestion with cow manure: A case study
- Special Issue: AESMT-7 - Part I
- Preparation and investigation of cobalt nanoparticles by laser ablation: Structure, linear, and nonlinear optical properties
- Seismic analysis of RC building with plan irregularity in Baghdad/Iraq to obtain the optimal behavior
- The effect of urban environment on large-scale path loss model’s main parameters for mmWave 5G mobile network in Iraq
- Formatting a questionnaire for the quality control of river bank roads
- Vibration suppression of smart composite beam using model predictive controller
- Machine learning-based compressive strength estimation in nanomaterial-modified lightweight concrete
- In-depth analysis of critical factors affecting Iraqi construction projects performance
- Behavior of container berth structure under the influence of environmental and operational loads
- Energy absorption and impact response of ballistic resistance laminate
- Effect of water-absorbent polymer balls in internal curing on punching shear behavior of bubble slabs
- Effect of surface roughness on interface shear strength parameters of sandy soils
- Evaluating the interaction for embedded H-steel section in normal concrete under monotonic and repeated loads
- Estimation of the settlement of pile head using ANN and multivariate linear regression based on the results of load transfer method
- Enhancing communication: Deep learning for Arabic sign language translation
- A review of recent studies of both heat pipe and evaporative cooling in passive heat recovery
- Effect of nano-silica on the mechanical properties of LWC
- An experimental study of some mechanical properties and absorption for polymer-modified cement mortar modified with superplasticizer
- Digital beamforming enhancement with LSTM-based deep learning for millimeter wave transmission
- Developing an efficient planning process for heritage buildings maintenance in Iraq
- Design and optimization of two-stage controller for three-phase multi-converter/multi-machine electric vehicle
- Evaluation of microstructure and mechanical properties of Al1050/Al2O3/Gr composite processed by forming operation ECAP
- Calculations of mass stopping power and range of protons in organic compounds (CH3OH, CH2O, and CO2) at energy range of 0.01–1,000 MeV
- Investigation of in vitro behavior of composite coating hydroxyapatite-nano silver on 316L stainless steel substrate by electrophoretic technic for biomedical tools
- A review: Enhancing tribological properties of journal bearings composite materials
- Improvements in the randomness and security of digital currency using the photon sponge hash function through Maiorana–McFarland S-box replacement
- Design a new scheme for image security using a deep learning technique of hierarchical parameters
- Special Issue: ICES 2023
- Comparative geotechnical analysis for ultimate bearing capacity of precast concrete piles using cone resistance measurements
- Visualizing sustainable rainwater harvesting: A case study of Karbala Province
- Geogrid reinforcement for improving bearing capacity and stability of square foundations
- Evaluation of the effluent concentrations of Karbala wastewater treatment plant using reliability analysis
- Adsorbent made with inexpensive, local resources
- Effect of drain pipes on seepage and slope stability through a zoned earth dam
- Sediment accumulation in an 8 inch sewer pipe for a sample of various particles obtained from the streets of Karbala city, Iraq
- Special Issue: IETAS 2024 - Part I
- Analyzing the impact of transfer learning on explanation accuracy in deep learning-based ECG recognition systems
- Effect of scale factor on the dynamic response of frame foundations
- Improving multi-object detection and tracking with deep learning, DeepSORT, and frame cancellation techniques
- The impact of using prestressed CFRP bars on the development of flexural strength
- Assessment of surface hardness and impact strength of denture base resins reinforced with silver–titanium dioxide and silver–zirconium dioxide nanoparticles: In vitro study
- A data augmentation approach to enhance breast cancer detection using generative adversarial and artificial neural networks
- Modification of the 5D Lorenz chaotic map with fuzzy numbers for video encryption in cloud computing
- Special Issue: 51st KKBN - Part I
- Evaluation of static bending caused damage of glass-fiber composite structure using terahertz inspection
Articles in the same Issue
- Regular Articles
- Methodology of automated quality management
- Influence of vibratory conveyor design parameters on the trough motion and the self-synchronization of inertial vibrators
- Application of finite element method in industrial design, example of an electric motorcycle design project
- Correlative evaluation of the corrosion resilience and passivation properties of zinc and aluminum alloys in neutral chloride and acid-chloride solutions
- Will COVID “encourage” B2B and data exchange engineering in logistic firms?
- Influence of unsupported sleepers on flange climb derailment of two freight wagons
- A hybrid detection algorithm for 5G OTFS waveform for 64 and 256 QAM with Rayleigh and Rician channels
- Effect of short heat treatment on mechanical properties and shape memory properties of Cu–Al–Ni shape memory alloy
- Exploring the potential of ammonia and hydrogen as alternative fuels for transportation
- Impact of insulation on energy consumption and CO2 emissions in high-rise commercial buildings at various climate zones
- Advanced autopilot design with extremum-seeking control for aircraft control
- Adaptive multidimensional trust-based recommendation model for peer to peer applications
- Effects of CFRP sheets on the flexural behavior of high-strength concrete beam
- Enhancing urban sustainability through industrial synergy: A multidisciplinary framework for integrating sustainable industrial practices within urban settings – The case of Hamadan industrial city
- Advanced vibrant controller results of an energetic framework structure
- Application of the Taguchi method and RSM for process parameter optimization in AWSJ machining of CFRP composite-based orthopedic implants
- Improved correlation of soil modulus with SPT N values
- Technologies for high-temperature batch annealing of grain-oriented electrical steel: An overview
- Assessing the need for the adoption of digitalization in Indian small and medium enterprises
- A non-ideal hybridization issue for vertical TFET-based dielectric-modulated biosensor
- Optimizing data retrieval for enhanced data integrity verification in cloud environments
- Performance analysis of nonlinear crosstalk of WDM systems using modulation schemes criteria
- Nonlinear finite-element analysis of RC beams with various opening near supports
- Thermal analysis of Fe3O4–Cu/water over a cone: a fractional Maxwell model
- Radial–axial runner blade design using the coordinate slice technique
- Theoretical and experimental comparison between straight and curved continuous box girders
- Effect of the reinforcement ratio on the mechanical behaviour of textile-reinforced concrete composite: Experiment and numerical modeling
- Experimental and numerical investigation on composite beam–column joint connection behavior using different types of connection schemes
- Enhanced performance and robustness in anti-lock brake systems using barrier function-based integral sliding mode control
- Evaluation of the creep strength of samples produced by fused deposition modeling
- A combined feedforward-feedback controller design for nonlinear systems
- Effect of adjacent structures on footing settlement for different multi-building arrangements
- Analyzing the impact of curved tracks on wheel flange thickness reduction in railway systems
- Review Articles
- Mechanical and smart properties of cement nanocomposites containing nanomaterials: A brief review
- Applications of nanotechnology and nanoproduction techniques
- Relationship between indoor environmental quality and guests’ comfort and satisfaction at green hotels: A comprehensive review
- Communication
- Techniques to mitigate the admission of radon inside buildings
- Erratum
- Erratum to “Effect of short heat treatment on mechanical properties and shape memory properties of Cu–Al–Ni shape memory alloy”
- Special Issue: AESMT-3 - Part II
- Integrated fuzzy logic and multicriteria decision model methods for selecting suitable sites for wastewater treatment plant: A case study in the center of Basrah, Iraq
- Physical and mechanical response of porous metals composites with nano-natural additives
- Special Issue: AESMT-4 - Part II
- New recycling method of lubricant oil and the effect on the viscosity and viscous shear as an environmentally friendly
- Identify the effect of Fe2O3 nanoparticles on mechanical and microstructural characteristics of aluminum matrix composite produced by powder metallurgy technique
- Static behavior of piled raft foundation in clay
- Ultra-low-power CMOS ring oscillator with minimum power consumption of 2.9 pW using low-voltage biasing technique
- Using ANN for well type identifying and increasing production from Sa’di formation of Halfaya oil field – Iraq
- Optimizing the performance of concrete tiles using nano-papyrus and carbon fibers
- Special Issue: AESMT-5 - Part II
- Comparative the effect of distribution transformer coil shape on electromagnetic forces and their distribution using the FEM
- The complex of Weyl module in free characteristic in the event of a partition (7,5,3)
- Restrained captive domination number
- Experimental study of improving hot mix asphalt reinforced with carbon fibers
- Asphalt binder modified with recycled tyre rubber
- Thermal performance of radiant floor cooling with phase change material for energy-efficient buildings
- Surveying the prediction of risks in cryptocurrency investments using recurrent neural networks
- A deep reinforcement learning framework to modify LQR for an active vibration control applied to 2D building models
- Evaluation of mechanically stabilized earth retaining walls for different soil–structure interaction methods: A review
- Assessment of heat transfer in a triangular duct with different configurations of ribs using computational fluid dynamics
- Sulfate removal from wastewater by using waste material as an adsorbent
- Experimental investigation on strengthening lap joints subjected to bending in glulam timber beams using CFRP sheets
- A study of the vibrations of a rotor bearing suspended by a hybrid spring system of shape memory alloys
- Stability analysis of Hub dam under rapid drawdown
- Developing ANFIS-FMEA model for assessment and prioritization of potential trouble factors in Iraqi building projects
- Numerical and experimental comparison study of piled raft foundation
- Effect of asphalt modified with waste engine oil on the durability properties of hot asphalt mixtures with reclaimed asphalt pavement
- Hydraulic model for flood inundation in Diyala River Basin using HEC-RAS, PMP, and neural network
- Numerical study on discharge capacity of piano key side weir with various ratios of the crest length to the width
- The optimal allocation of thyristor-controlled series compensators for enhancement HVAC transmission lines Iraqi super grid by using seeker optimization algorithm
- Numerical and experimental study of the impact on aerodynamic characteristics of the NACA0012 airfoil
- Effect of nano-TiO2 on physical and rheological properties of asphalt cement
- Performance evolution of novel palm leaf powder used for enhancing hot mix asphalt
- Performance analysis, evaluation, and improvement of selected unsignalized intersection using SIDRA software – Case study
- Flexural behavior of RC beams externally reinforced with CFRP composites using various strategies
- Influence of fiber types on the properties of the artificial cold-bonded lightweight aggregates
- Experimental investigation of RC beams strengthened with externally bonded BFRP composites
- Generalized RKM methods for solving fifth-order quasi-linear fractional partial differential equation
- An experimental and numerical study investigating sediment transport position in the bed of sewer pipes in Karbala
- Role of individual component failure in the performance of a 1-out-of-3 cold standby system: A Markov model approach
- Implementation for the cases (5, 4) and (5, 4)/(2, 0)
- Center group actions and related concepts
- Experimental investigation of the effect of horizontal construction joints on the behavior of deep beams
- Deletion of a vertex in even sum domination
- Deep learning techniques in concrete powder mix designing
- Effect of loading type in concrete deep beam with strut reinforcement
- Studying the effect of using CFRP warping on strength of husk rice concrete columns
- Parametric analysis of the influence of climatic factors on the formation of traditional buildings in the city of Al Najaf
- Suitability location for landfill using a fuzzy-GIS model: A case study in Hillah, Iraq
- Hybrid approach for cost estimation of sustainable building projects using artificial neural networks
- Assessment of indirect tensile stress and tensile–strength ratio and creep compliance in HMA mixes with micro-silica and PMB
- Density functional theory to study stopping power of proton in water, lung, bladder, and intestine
- A review of single flow, flow boiling, and coating microchannel studies
- Effect of GFRP bar length on the flexural behavior of hybrid concrete beams strengthened with NSM bars
- Exploring the impact of parameters on flow boiling heat transfer in microchannels and coated microtubes: A comprehensive review
- Crumb rubber modification for enhanced rutting resistance in asphalt mixtures
- Special Issue: AESMT-6
- Design of a new sorting colors system based on PLC, TIA portal, and factory I/O programs
- Forecasting empirical formula for suspended sediment load prediction at upstream of Al-Kufa barrage, Kufa City, Iraq
- Optimization and characterization of sustainable geopolymer mortars based on palygorskite clay, water glass, and sodium hydroxide
- Sediment transport modelling upstream of Al Kufa Barrage
- Study of energy loss, range, and stopping time for proton in germanium and copper materials
- Effect of internal and external recycle ratios on the nutrient removal efficiency of anaerobic/anoxic/oxic (VIP) wastewater treatment plant
- Enhancing structural behaviour of polypropylene fibre concrete columns longitudinally reinforced with fibreglass bars
- Sustainable road paving: Enhancing concrete paver blocks with zeolite-enhanced cement
- Evaluation of the operational performance of Karbala waste water treatment plant under variable flow using GPS-X model
- Design and simulation of photonic crystal fiber for highly sensitive chemical sensing applications
- Optimization and design of a new column sequencing for crude oil distillation at Basrah refinery
- Inductive 3D numerical modelling of the tibia bone using MRI to examine von Mises stress and overall deformation
- An image encryption method based on modified elliptic curve Diffie-Hellman key exchange protocol and Hill Cipher
- Experimental investigation of generating superheated steam using a parabolic dish with a cylindrical cavity receiver: A case study
- Effect of surface roughness on the interface behavior of clayey soils
- Investigated of the optical properties for SiO2 by using Lorentz model
- Measurements of induced vibrations due to steel pipe pile driving in Al-Fao soil: Effect of partial end closure
- Experimental and numerical studies of ballistic resistance of hybrid sandwich composite body armor
- Evaluation of clay layer presence on shallow foundation settlement in dry sand under an earthquake
- Optimal design of mechanical performances of asphalt mixtures comprising nano-clay additives
- Advancing seismic performance: Isolators, TMDs, and multi-level strategies in reinforced concrete buildings
- Predicted evaporation in Basrah using artificial neural networks
- Energy management system for a small town to enhance quality of life
- Numerical study on entropy minimization in pipes with helical airfoil and CuO nanoparticle integration
- Equations and methodologies of inlet drainage system discharge coefficients: A review
- Thermal buckling analysis for hybrid and composite laminated plate by using new displacement function
- Investigation into the mechanical and thermal properties of lightweight mortar using commercial beads or recycled expanded polystyrene
- Experimental and theoretical analysis of single-jet column and concrete column using double-jet grouting technique applied at Al-Rashdia site
- The impact of incorporating waste materials on the mechanical and physical characteristics of tile adhesive materials
- Seismic resilience: Innovations in structural engineering for earthquake-prone areas
- Automatic human identification using fingerprint images based on Gabor filter and SIFT features fusion
- Performance of GRKM-method for solving classes of ordinary and partial differential equations of sixth-orders
- Visible light-boosted photodegradation activity of Ag–AgVO3/Zn0.5Mn0.5Fe2O4 supported heterojunctions for effective degradation of organic contaminates
- Production of sustainable concrete with treated cement kiln dust and iron slag waste aggregate
- Key effects on the structural behavior of fiber-reinforced lightweight concrete-ribbed slabs: A review
- A comparative analysis of the energy dissipation efficiency of various piano key weir types
- Special Issue: Transport 2022 - Part II
- Variability in road surface temperature in urban road network – A case study making use of mobile measurements
- Special Issue: BCEE5-2023
- Evaluation of reclaimed asphalt mixtures rejuvenated with waste engine oil to resist rutting deformation
- Assessment of potential resistance to moisture damage and fatigue cracks of asphalt mixture modified with ground granulated blast furnace slag
- Investigating seismic response in adjacent structures: A study on the impact of buildings’ orientation and distance considering soil–structure interaction
- Improvement of porosity of mortar using polyethylene glycol pre-polymer-impregnated mortar
- Three-dimensional analysis of steel beam-column bolted connections
- Assessment of agricultural drought in Iraq employing Landsat and MODIS imagery
- Performance evaluation of grouted porous asphalt concrete
- Optimization of local modified metakaolin-based geopolymer concrete by Taguchi method
- Effect of waste tire products on some characteristics of roller-compacted concrete
- Studying the lateral displacement of retaining wall supporting sandy soil under dynamic loads
- Seismic performance evaluation of concrete buttress dram (Dynamic linear analysis)
- Behavior of soil reinforced with micropiles
- Possibility of production high strength lightweight concrete containing organic waste aggregate and recycled steel fibers
- An investigation of self-sensing and mechanical properties of smart engineered cementitious composites reinforced with functional materials
- Forecasting changes in precipitation and temperatures of a regional watershed in Northern Iraq using LARS-WG model
- Experimental investigation of dynamic soil properties for modeling energy-absorbing layers
- Numerical investigation of the effect of longitudinal steel reinforcement ratio on the ductility of concrete beams
- An experimental study on the tensile properties of reinforced asphalt pavement
- Self-sensing behavior of hot asphalt mixture with steel fiber-based additive
- Behavior of ultra-high-performance concrete deep beams reinforced by basalt fibers
- Optimizing asphalt binder performance with various PET types
- Investigation of the hydraulic characteristics and homogeneity of the microstructure of the air voids in the sustainable rigid pavement
- Enhanced biogas production from municipal solid waste via digestion with cow manure: A case study
- Special Issue: AESMT-7 - Part I
- Preparation and investigation of cobalt nanoparticles by laser ablation: Structure, linear, and nonlinear optical properties
- Seismic analysis of RC building with plan irregularity in Baghdad/Iraq to obtain the optimal behavior
- The effect of urban environment on large-scale path loss model’s main parameters for mmWave 5G mobile network in Iraq
- Formatting a questionnaire for the quality control of river bank roads
- Vibration suppression of smart composite beam using model predictive controller
- Machine learning-based compressive strength estimation in nanomaterial-modified lightweight concrete
- In-depth analysis of critical factors affecting Iraqi construction projects performance
- Behavior of container berth structure under the influence of environmental and operational loads
- Energy absorption and impact response of ballistic resistance laminate
- Effect of water-absorbent polymer balls in internal curing on punching shear behavior of bubble slabs
- Effect of surface roughness on interface shear strength parameters of sandy soils
- Evaluating the interaction for embedded H-steel section in normal concrete under monotonic and repeated loads
- Estimation of the settlement of pile head using ANN and multivariate linear regression based on the results of load transfer method
- Enhancing communication: Deep learning for Arabic sign language translation
- A review of recent studies of both heat pipe and evaporative cooling in passive heat recovery
- Effect of nano-silica on the mechanical properties of LWC
- An experimental study of some mechanical properties and absorption for polymer-modified cement mortar modified with superplasticizer
- Digital beamforming enhancement with LSTM-based deep learning for millimeter wave transmission
- Developing an efficient planning process for heritage buildings maintenance in Iraq
- Design and optimization of two-stage controller for three-phase multi-converter/multi-machine electric vehicle
- Evaluation of microstructure and mechanical properties of Al1050/Al2O3/Gr composite processed by forming operation ECAP
- Calculations of mass stopping power and range of protons in organic compounds (CH3OH, CH2O, and CO2) at energy range of 0.01–1,000 MeV
- Investigation of in vitro behavior of composite coating hydroxyapatite-nano silver on 316L stainless steel substrate by electrophoretic technic for biomedical tools
- A review: Enhancing tribological properties of journal bearings composite materials
- Improvements in the randomness and security of digital currency using the photon sponge hash function through Maiorana–McFarland S-box replacement
- Design a new scheme for image security using a deep learning technique of hierarchical parameters
- Special Issue: ICES 2023
- Comparative geotechnical analysis for ultimate bearing capacity of precast concrete piles using cone resistance measurements
- Visualizing sustainable rainwater harvesting: A case study of Karbala Province
- Geogrid reinforcement for improving bearing capacity and stability of square foundations
- Evaluation of the effluent concentrations of Karbala wastewater treatment plant using reliability analysis
- Adsorbent made with inexpensive, local resources
- Effect of drain pipes on seepage and slope stability through a zoned earth dam
- Sediment accumulation in an 8 inch sewer pipe for a sample of various particles obtained from the streets of Karbala city, Iraq
- Special Issue: IETAS 2024 - Part I
- Analyzing the impact of transfer learning on explanation accuracy in deep learning-based ECG recognition systems
- Effect of scale factor on the dynamic response of frame foundations
- Improving multi-object detection and tracking with deep learning, DeepSORT, and frame cancellation techniques
- The impact of using prestressed CFRP bars on the development of flexural strength
- Assessment of surface hardness and impact strength of denture base resins reinforced with silver–titanium dioxide and silver–zirconium dioxide nanoparticles: In vitro study
- A data augmentation approach to enhance breast cancer detection using generative adversarial and artificial neural networks
- Modification of the 5D Lorenz chaotic map with fuzzy numbers for video encryption in cloud computing
- Special Issue: 51st KKBN - Part I
- Evaluation of static bending caused damage of glass-fiber composite structure using terahertz inspection
![Figure 1
Simple lap joint [7,8].](/document/doi/10.1515/eng-2022-0494/asset/graphic/j_eng-2022-0494_fig_001.jpg)
![Figure 11
Structural element model suggested by Serrano et al. [36,37].](/document/doi/10.1515/eng-2022-0494/asset/graphic/j_eng-2022-0494_fig_011.jpg)