To measure the stiffness, strength, and deformation capacity of the connection, it is first necessary to analyse what each LVDT shown in
Figure 9 measures and how these values are interconnected. The displacements indicated by LVDTs 1 to 5 are denoted as
XI,
XII,
XIII,
XIV, and
XV, respectively. For the CLT panels, the total displacement is the sum of the displacement of the panel at the center of area (
xCLT,center) and the peak local deformation of the panel (
DefCLT,Local), as indicated in the equation below:
In the equations above,
xTRI represents the deformation of the triangular-base plate bolts and/or the deformation of the TP around these bolts.
xCLT is the deformation of the CLT panel where it is connected to RADIAL.
xactuator denotes the force-deformation made by the actuator.
xRADIAL,rel encompasses the shear crack in the TP plus the deformation made in the head of the RADIAL-TRI bolt due to its bending, with the former being the major component. The deformation in the bolt head can represent the bending of the RADIAL flanges. Therefore, to understand the behavior of RADIAL,
xRADIAL,rel is crucial rather than
xRADIAL,abs. The accuracy of the aforementioned assumptions is verified by:
The following section will present and discuss the results obtained from monotonic and cyclic tests using the equations mentioned above.
3.1.1. Monotonic Loading
In this section, load-deformation curves of the entire connection and its components, including CLT, screws, TP, and RADIAL, are presented. The properties of the connection are derived from these curves using the methods specified in the applicable codes.
Figure 12 shows the load-deformation capacity of the connection. Initial slips occurred in the setup during loading due to adjustments of the connectors or loosened bolts and screws. These slips were removed from the curves.
The properties of each curve, based on the method mentioned in EN 12512 [
31], are measured and presented in
Table 4 for each test and in
Table 5 for each failure mode.
In
Table 4 and
Table 5, (Vy, Fy), (Vmax, Fmax), and (Vu, Fu) represent the displacement-force points for yielding, peak, and ultimate strength cases, respectively. Additionally, tgα and tgβ denote the linear and nonlinear stiffness of the equivalent bilinear curve. Finally, μ represents the ductility, calculated as the ratio of ultimate slip to yield slip. Generally, the CoV values for all parameters range between 10% and 30%, indicating moderate variability and reliable results.
Table 5 shows that the mean shear strength of the M12 bolt, Grade 8.8, from tests M1, M2, and M3 is 42.77 kN. In comparison, the Grade 10.9 bolt exhibits a shear strength of 77.61 kN. The shear fracture of the TP, recorded in tests M4, M5, M6, and M7, has an average strength of 44.40 kN with a Coefficient of Variation (CoV) of 2.29%, demonstrating the reliability of this value. Additionally, five LBS7x160 screws failed at a strength of 55.28 kN in test M7. Finally, the delamination of CLT panel occurred at a peak strength of 54.58 kN.
The deformation capacities for the shear of M12C8.8 and M12C10.9 bolts are 20.46 mm and 28.10 mm, respectively. The shear fracture of the plate results in 18.39 mm of deformation with a CoV of 8.54%, while screw failure leads to a deformation of 13.13 mm. Regarding yield displacement, the shear of M12C8.8 and M12C10.9 occurs at displacements of 11.31 mm and 13.49 mm, respectively. The plate’s shear fracture yields at 8.02 mm with a CoV of 23.44%, and screw failure causes the connector to reach the yield point at 11.72 mm.
In terms of stiffness, the M12C8.8 bolt exhibited a stiffness of 3.49 kN/mm, while the M12C10.9 bolt had a stiffness of 4.94 kN/mm. For the plate fracture, the stiffness measured 4.78 kN/mm, for screw failure it was 4.41 kN/mm, and for CLT delamination, it was 4.24 kN/mm. These results demonstrate that the lowest and highest strengths of the connector are associated with the shear of the M12 bolts of class C8.8 and C10.9, respectively. The least deformation capacity is associated to the thread withdrawal of screws, highlighting the brittleness of this failure mode. Conversely, the best deformation capacities are observed in the failure mode due to shear of bolts of class 8.8 or 10.9. The shear fracture of the plate results in the shortest elastic deformation, while the largest elastic deformation occurs with the shear of bolts of class 10.9. Additionally, the highest stiffness is observed with the shear of M12C10.9, and the lowest with the shear of M12C8.8.
To assess the ductility level of a connection, a cyclic analysis should be performed according to Eurocode 8, clause 8.3.3 [
32]. However, under monotonic loading, the connection in all tests conducted was found to be non-dissipative, as the ductility factor was less than the medium ductility class, DCM=4. In the following section, where cyclic analyses are discussed, the ductility level of the connection will be clearly determined.
To summarize, the shear of M12C10.9 provides the highest strength, stiffness, and both elastic and plastic deformation capacities. The lowest strength and stiffness are observed in the shear of M12C8.8, while the lowest deformation capacity is associated with screw thread withdrawal. The shear fracture of the plate exhibits mediocre performance in terms of strength, stiffness, and deformation capacity compared to other failure modes. Structurally, the shear failure of the M12C10.9 bolt is the most favorable in terms of elastic stiffness and strength compared to the other failures observed, but it is unfavorable in terms of ductility and energy dissipation. However, architecturally, this failure mode leads to extensive damage to the RADIAL flanges and the plate, necessitating their replacement. On the other hand, the shear fracture of the plate only requires the replacement of the plate with no effect on the RADIAL. Thus, considering both structural and architectural aspects, the most favorable damage is the shear fracture of the plate.
The following section presents the force-deformation curves for each component, including CLT specimens, RADIAL, TP, and screws, as calculated by Equations 1-7. These curves are displayed separately in
Figure 13.
The figures illustrate where fasteners were loosely fixed or where slippage occurred. For instance, in
Figure 13(c), the TP in tests M2 and M3 shows an initial stiffness significantly lower than the subsequent stiffness, indicating slippage in the two M20 bolts at the beginning of loading before the actual stiffness of the component was established. Another example can be seen in
Figure 11(a), where the screws in tests M1 and M2 exhibit more deformation at the start of loading, suggesting slippage of screws that might not have been adequately driven during the specimen preparation process. Note that the deformation of the CLT (
Figure 13(d)) represents the total deformation, including contributions from both RADIAL and TP. However, previous studies suggest that the CLT will generally remain within the elastic range, similar to the screws.
The figures also depict the behavior of each component. By excluding the slipping parts of the figures, except for tests M8 and M10, which resulted in thread withdrawal of screws or delamination of CLT, it is evident that in most cases, the screws and TPs remained within the elastic range, while the RADIAL components demonstrated ductile performance. Therefore, structurally, it is beneficial to shift the damage to the RADIAL component, particularly to the Grade 10.9 bolt connecting RADIAL to TP, in order to achieve higher strength (+78.80%) and stiffness (+3.35%), and improve deformation capacity (+68.20%).
Figure 14 compares the actuator displacement with the combined displacement from screws, RADIAL, and TP, as provided in Equation 7. This comparison validates the assumptions made in formulating the relationships between LVDTs, such as the solid behavior of CLT and nearly zero displacement in the bolts connecting the baseplate and frame. The discrepancies between the two aforementioned displacements in the tests are minimal, confirming the assumptions, except for tests M8 and M10, where CLT delamination followed by thread withdrawal of screws was observed. Additionally, for test M9, where failure was primarily due to the bending of the M12 bolt, the accuracy is compromised. This discrepancy is mainly due to significant bending of the RADIAL flanges, which was not captured by the LVDTs. Also, this issue is likely caused by incorrect measurements from LVDT 5, which intermittently stopped recording and had to be manually restarted during the test.
3.1.1. Cyclic Loading
The cyclic analysis was performed on the connection with the configuration that exhibited a favorable failure mechanism in monotonic loading: shear fracture in the TP, with minimal damage to the rest of the connector, including the CLT, screws, RADIAL, M12 bolt, and M20 bolts connecting the TP to the baseplate. This damage, intentionally concentrated on a weaker part of the connector, occurs when the configuration includes 6 LBS7x160 screws, an M12 bolt of class 10.9 fully symmetrically equipped with nuts (2 inside and 2 outside of the RADIAL flanges, thus effectively stiffening the connection), and one TP connected to a 30 mm thick baseplate using 2 M20 bolts. Seven specimens were loaded under the loading protocol described in section 2.4.
Figure 15 shows the load-displacement curved registered by the actuator, representing the load-carrying capacity curves observed in the cyclic tests C1 to C7.
The mechanical properties of the connector, derived from the backbone curves using the methodology outlined in EN 12512 [
31], are detailed in
Table 6. The findings indicate that the connector's ductility and strength are unaffected by the number of screws connecting the RADIAL to the CLT, as the damage occurred primarily in the TP and to a lesser extent in the RADIAL flanges and the M12 bolt. Similar to the monotonic tests, variations in key displacements are relatively higher than their corresponding forces, and both are less than those observed in monotonic tests. When comparing properties from cyclic and monotonic tests, the yield displacement doubled, ultimate displacement increased by 20%, strength increased by 10%, while stiffness and ductility decreased by 45%. The reduction in stiffness and ductility, which are based on yield and ultimate displacement and yield strength, is 45% and 40%, respectively, aligning closely with direct observations from the tests. The specimen's displacement is resulted from the displacement of the RADIAL (or TP) and the longitudinal deformation of the screws. The increased displacement during cyclic loading, especially the yield displacement, can be attributed to potential deformations within the CLT specimen and around the screws. This is primarily due to degradation typically occurring in consecutive cyclic displacements in terms of stiffness and strength, especially the former.
Figure 16 displays the force-displacement behavior of each connector’s components. Similar to the monotonic results, it can be observed that the screws and TP exhibit linear behavior, while the RADIAL, designed as the sole component for nonlinear behavior, demonstrates ductile behavior with significant plastic deformation. The measurements made in the CLT actually reflect the global deformation of the connector, which depends on both the RADIAL and TP. Consequently, the CLT's performance is neither as ductile as the RADIAL nor as elastic as the TP.
Finally,
Figure 17 shows the displacement measured by the actuator compared with the combined displacements of the components (Equation 7) across all cyclic tests. The minimal discrepancies observed between the two displacements confirm the accuracy of the assumptions mentioned before. This is further supported by the absence of damage to the CLT specimen following the tests.
The key parameters derived from the cyclic analysis for evaluating the connector's performance include ductility, energy dissipation, strength degradation, and stiffness deterioration, which are detailed below.
There are two approaches to determine the ductility level of a connection, as shown in TS1125/1 [
33] and TS12512/2 [
34]. Both approaches are based on the clause 8.3.3 of Eurocode 8 [
32] reporting that a “dissipative zone shall be able to deform plastically for at least three fully reversed cycles at a static ductility ratio of 4 for ductility class medium (DCM) structures and at a static ductility ratio of 6 for ductility class high structures (DCH), without more than a 20% reduction of resistance”.
According to TS1125/1, the mean yield displacement of the connector under monotonic loading is 9.08 mm, as provided in
Table 4 and
Table 5. To assign the connector a DCM class, (1) the ultimate displacement of the connector, at which all the triple cycles are repeated completely, under cyclic loading must be greater than four times this displacement (36.32 mm), and (2) the strength reduction of the third cycles compared to first cycles must be less than 20%. According to
Table 6, the maximum of the ultimate displacement of the connector under the 7 cyclic tests is 22.24 mm, which is far away from the limitation mentioned above. As a result, the connector is non-dissipative.
Based on TS12512/2, in any of the seven cyclic tests conducted, there is no displacement in the envelope curve of the first cyclic curves at which the strength reduction factor become equal to or higher than 0.8, meaning that the connector is non-dissipative. This factor is the ratio between the load corresponding to the displacement and the mean value of the maximum load taken from the monotonic tests. This result corresponds to the shear failures observed in the bolt and plate, thread withdrawal of screws, and CLT delamination, as these failures, caused by shear and axial loads have been proven to be non-ductile and do not involve the formation of a plastic hinge as seen in bending loading.
The next important characteristic extracted from a cyclic analysis is energy dissipation, which is measured as the area enclosed in the cyclic curves as defined by code EN 12512 [
31]. The accumulated dissipated energy of each test is shown versus the displacement of the panel (average displacement of LVDT 1 and 2) in
Figure 18. Except for the curve for C7, the variation in the remaining curves is small. In this test, 6 screws were used to connect RADIAL to CLT, and the M12 was fully equipped with nuts. In the rest, either 4 or 5 screws were adopted, or the nuts were not fully added to the bolt, indicating that the fasteners play an important role in dissipating energy.
The strength impairment, observed in triple cycles (e.g., 3, 4, 5), represents the loss of strength from the first to the third cycle as a percentage of the strength in the initial cycle according to EN 12512 [
31], as provided in
Table 7 for the triple cycles with peak displacements of 0.75Vy, Vy, and 2Vy. It is directly linked to stiffness degradation. It is normally measured for both positive and negative cycles, but here only positive cycles are considered, taking into account the tensile test being loaded in only one direction. It is shown that the mean (12.41 kN, 6.69 kN, and 6.34 kN) and variation (44%, 43%, and 19%) of this strength from the first triple to the last one are decreasing. Also, C6 presents the least strength impairment compared to the others, possibly due to adopting the least number of nuts added to the M12 bolt (2 nuts).
In
Table 7, "EC" refers to the envelope curve. It is noted that the peak displacement of 0.75
Vy is observed in cycles 3, 4, and 5. The displacement
Vy occurs in cycles 6, 7, and 8, while 2
Vy is recorded in cycles 9, 10, and 11.
In cyclic analysis, reduction of elastic stiffness of consecutive triple cycles is known as stiffness degradation. The gradual decrease in stiffness across consecutive loops reduces the area enclosed by the hysteresis curves, a phenomenon referred to as the pinching effect. Stiffness degradation is typical features of CLT panels and connections subjected to cyclic loading.
Table 8 presents the stiffness degradation of the cyclic tests C1, C7, showing the percentage reduction in elastic stiffness of the envelope curve for the second and third cycles compared to the first cycle.