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In-Plane Shear Modulus of Cross-Laminated Timber
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Wood Science and Engineering.ORCID iD: 0000-0002-0900-5110
2021 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Cross-laminated timber (CLT) is a building component used in walls, floors, roofs, or beams in a building. The advantages of using CLT as a building component are, among others, its high load-carrying capability and the possibility of pre-fabrication. The in-plane shear properties of a CLT panel are the in-plane shear modulus and in-plane shear load carrying capacity. This thesis is solely about the in-plane shear modulus and is intended to increase the understanding about the in-plane shear modulus of CLT panels. The in-plane shear modulus is important and there is a need to better understand and estimate its value. The objective of this work was to contribute to the need of finding a suitable test method to measure the in-plane shear modulus of CLT panels and to find factors affecting the in-plane shear modulus.  Three different methods: the picture frame test, the diagonal compression test and the diaphragm shear test, were used in practice and compared to a theoretical test method, the pure shear test. The three methods were compared by conducting experimental tests and by simulating the methods using finite element (FE). Based on the FE simulations, an equation to calculate the shear modulus was created for each test method.  Results from the FE analyses showed that the picture frame test gave results similar to the theoretical pure shear test models. The reason for this result was that the picture frame test is a biaxial testing method. The diagonal compression test and the diaphragm shear test are uniaxial test method. It was also concluded that the picture frame test has a pure shear state in the measured region. The mean error for the in-plane shear modulus equations was estimated, by comparing results from practical testing and FE simulations, to be -2.5%, +12.6% and +11.8% for the picture frame test, diagonal compression test and diaphragm shear test, respectively. The diagonal compression test was the preferred method to use with respect to its simplicity.The factors having an impact on the in-plane shear modulus were found by comparing multiple FE simulations. The results showed that it is possible to increase the in-plane shear modulus by: increasing the odd numbered layers width-to-thickness ratio; decreasing the odd layers thickness ratio of the CLT panels thickness; increasing the number of layers; reducing the gaps between boards; and using alternative main laminate directions. 

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2021.
Series
Doctoral thesis / Luleå University of Technology, ISSN 1402-1544
National Category
Other Civil Engineering Building Technologies
Research subject
Wood Science and Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-83652ISBN: 978-91-7790-823-4 (print)ISBN: 978-91-7790-824-1 (electronic)OAI: oai:DiVA.org:ltu-83652DiVA, id: diva2:1544211
Public defence
2021-06-09, Auditorium A, Skellefteå, 09:00 (English)
Opponent
Supervisors
Available from: 2021-04-15 Created: 2021-04-14 Last updated: 2025-10-21Bibliographically approved
List of papers
1. Impact of board width on in-plane shear stiffness of cross-laminated timber
Open this publication in new window or tab >>Impact of board width on in-plane shear stiffness of cross-laminated timber
2019 (English)In: Engineering structures, ISSN 0141-0296, E-ISSN 1873-7323, Vol. 196, article id 109249Article in journal (Refereed) Published
Abstract [en]

Board width-to-thickness ratios in non-edge-glued cross laminated timber (CLT) panels influence the in-plane shear stiffness of the panel. The objective is to show the impact of board width-to-thickness ratios for 3- and 5-layer CLT panels. Shear stiffnesses were calculated using finite element analysis and are shown as reduction factors relative to the shear stiffnesses of edge-glued CLT panels. Board width-to-thickness ratios were independently varied for outer and inner layers. Results show that the reduction factor lies in the interval of 0.6 to 0.9 for most width-to-thickness ratios. Results show also that using boards with low width-to-thickness ratios give low reduction factors. The calculated result differed by 2.9% compared to existing experimental data.

Place, publisher, year, edition, pages
Elsevier, 2019
Keywords
CLT, In-plane shear modulus, In-plane shear stiffness, Finite element method, CLT board width, CLT layer thickness, CLT shear modulus, Board gap
National Category
Building Technologies Other Mechanical Engineering
Research subject
Wood Science and Engineering
Identifiers
urn:nbn:se:ltu:diva-75098 (URN)10.1016/j.engstruct.2019.05.090 (DOI)000482518700013 ()2-s2.0-85067851120 (Scopus ID)
Note

Validerad;2019;Nivå 2;2019-07-05 (johcin)

Available from: 2019-06-27 Created: 2019-06-27 Last updated: 2025-10-22Bibliographically approved
2. Picture frame and diagonal compression testing of cross-laminated timber
Open this publication in new window or tab >>Picture frame and diagonal compression testing of cross-laminated timber
Show others...
2019 (English)In: Materials and Structures, ISSN 1359-5997, E-ISSN 1871-6873, Vol. 52, no 4, article id 66Article in journal (Refereed) Published
Abstract [en]

Currently, no appropriate standard exists that describes how to determine the in-plane shear stiffness for cross-laminated timber (CLT) panels, meaning that, there is a lack of appropriate and reliable test methods. In this paper, two gross shear test methods are evaluated: a picture frame test and a diagonal compression test, which are intended to measure the shear stiffness of a whole CLT panel. This evaluation aimed to compare the shear modulus, the amount of compression/tension in the diagonal directions of the panels and the deformations of both sides of the panels. The picture frame test and diagonal compression test provides a bi- and uniaxial pre-stress, respectively. A total of 30 non-edge glued CLT panels were tested, 17 3-layer and 13 5-layer panels. The shear modulus for the 3- and 5-layer non-edge-glued panels were measured as 418 and 466 MPa, respectively, in the picture frame test. In the diagonal compression test, the shear modulus was measured to substantially higher values of 530 and 626 MPa for the 3- and 5-layer panels, respectively. In the picture frame test, panels were equally stretched along one of the diagonals as they were compressed along the other diagonal, which was not the case for panels in the diagonal compression test. The test results also showed that measuring only one side incurs a risk of over- or under-estimating the in-plane shear modulus. Compared with results from the literature, the picture frame test seems to be a more reliable test method than the diagonal compression test.

Place, publisher, year, edition, pages
Springer, 2019
Keywords
In-plane shear stiffness, Picture frame method, CLT, Shear modulus, Diagonal compression
National Category
Building Technologies Other Mechanical Engineering
Research subject
Wood Science and Engineering
Identifiers
urn:nbn:se:ltu:diva-74874 (URN)10.1617/s11527-019-1372-7 (DOI)000472221500001 ()2-s2.0-85067616889 (Scopus ID)
Note

Validerad;2019;Nivå 2;2019-06-24 (svasva)

Available from: 2019-06-23 Created: 2019-06-23 Last updated: 2025-10-22Bibliographically approved
3. In-plane Shear Modulus of Cross-laminated Timber by Diagonal Compression Test
Open this publication in new window or tab >>In-plane Shear Modulus of Cross-laminated Timber by Diagonal Compression Test
2019 (English)In: BioResources, E-ISSN 1930-2126, Vol. 14, no 3, p. 5559-5572Article in journal (Refereed) Published
Abstract [en]

Cross-laminated timber (CLT) is an engineered wood material that is used in the construction industry, e.g., for floors, walls, and beams. In cases where CLT-elements are used as shear walls, the in-plane-stiffness is an important property. For non-edge glued CLT, in-plane shear stiffness is lower than for edge-glued CLT. To evaluate the non-edge glued CLT panel’s in-plane shear modulus, the diagonal compression test and finite element (FE) simulation was used. FE-models with both isotropic and orthotropic material models were used to calculate the shear stiffness. The FE models using pure shear loads were used as a reference to determine the correct value of the shear modulus. To verify the FE simulations, diagonal compression tests were conducted on 30 CLT samples. A calibration formula was derived using the least square method for calculation of shear modulus. The formula gave accurate results. The results showed that FE simulations can reproduce the same shear stiffness as tests of non-edge glued 3-layer and 5-layer CLT panels.

Place, publisher, year, edition, pages
NC State University, 2019
Keywords
Cross-laminated timber, Finite element analysis, In-plane shear stiffness, Diagonal compression test, Shear modulus
National Category
Other Engineering and Technologies Other Mechanical Engineering
Research subject
Wood Science and Engineering
Identifiers
urn:nbn:se:ltu:diva-74597 (URN)10.15376/biores.14.3.5559-5572 (DOI)000473204700043 ()2-s2.0-85066306339 (Scopus ID)
Note

Validerad;2019;Nivå 2;2019-06-24 (svasva)

Available from: 2019-06-17 Created: 2019-06-17 Last updated: 2025-10-22Bibliographically approved
4. Shear modulus analysis of cross-laminated timber using picture frame tests and finite element simulations
Open this publication in new window or tab >>Shear modulus analysis of cross-laminated timber using picture frame tests and finite element simulations
2020 (English)In: Materials and Structures, ISSN 1359-5997, E-ISSN 1871-6873, Vol. 53, no 4, article id 112Article in journal (Refereed) Published
Abstract [en]

Determining the mechanical properties of cross-laminated timber (CLT) panels is an important issue. A property that is particularly important for CLT used as shear walls in buildings is the in-plane shear modulus. In this study, a method to determine the in-plane shear modulus of 3- and 5-layer CLT panels was developed based on picture frame tests and a correction factor evaluated from finite element simulations. The picture frame test is a biaxial test where a panel is simultaneously compressed and tensioned. Two different testing methods are simulated by finite elements: theoretical pure shear models as a reference cases and picture frame models to simulate the picture frame test setup. An equation for calculating the shear modulus from the measured shear stiffnesses in the picture frame tests is developed by comparisons between tests and finite element simulations of the CLT panels. The results show that pure shear conditions are achieved in the central region of the panels. No influence from the size of the tested panels is observed in the finite element simulations.

Place, publisher, year, edition, pages
Springer Nature, 2020
Keywords
In-plane shear stiffness, Picture frame method, CLT, Shear modulus, Finite elements
National Category
Other Mechanical Engineering
Research subject
Wood Science and Engineering
Identifiers
urn:nbn:se:ltu:diva-80309 (URN)10.1617/s11527-020-01545-1 (DOI)000561054000003 ()2-s2.0-85089022309 (Scopus ID)
Note

Validerad;2020;Nivå 2;2020-09-03 (johcin)

Available from: 2020-08-05 Created: 2020-08-05 Last updated: 2025-10-22Bibliographically approved
5. Influence of laminate direction and glue area on in-plane shear modulus of cross-laminated timber
Open this publication in new window or tab >>Influence of laminate direction and glue area on in-plane shear modulus of cross-laminated timber
2020 (English)In: SN Applied Sciences, ISSN 2523-3963, E-ISSN 2523-3971, Vol. 2, no 12, article id 2126Article in journal (Refereed) Published
Abstract [en]

The use of cross-laminated timber (CLT) in constructing tall buildings has increased. So, it has become crucial to get a higher in-plane stiffness in CLT panels. One way of increasing the shear modulus, G, for CLT panels can be by alternating the layers to other angles than the traditional 0° and 90°. The diagonal compression test can be used to measure the shear stiffness from which G is calculated. A general equation for calculating the G value for the CLT panels tested in the diagonal compression test was established and verified by tests, finite element simulations and external data. The equation was created from finite element simulations of full-scale CLT walls. By this equation, the influence on the G value was a factor of 2.8 and 2.0 by alternating the main laminate direction of the mid layer from the traditional 90° to 45° and 30°, respectively. From practical tests, these increases were measured to 2.9 and 1.8, respectively. Another influence on the G value was studied by the reduction of the glue area between the layers. It was shown that the pattern of the contact area was more important than the size of the contact area.

Place, publisher, year, edition, pages
Springer, 2020
Keywords
Cross-laminated timber, Diagonal compression test, Laminate direction, Shear modulus, Finite elements, Glue
National Category
Wood Science
Research subject
Wood Science and Engineering
Identifiers
urn:nbn:se:ltu:diva-81839 (URN)10.1007/s42452-020-03918-1 (DOI)000596701800011 ()2-s2.0-85100752571 (Scopus ID)
Funder
Interreg Nord
Note

Validerad;2021;Nivå 2;2021-01-21 (alebob)

Available from: 2020-12-03 Created: 2020-12-03 Last updated: 2025-10-22Bibliographically approved
6. Diaphragm shear and diagonal compression testing of cross-laminated timber
Open this publication in new window or tab >>Diaphragm shear and diagonal compression testing of cross-laminated timber
2021 (English)In: SN Applied Sciences, ISSN 2523-3963, E-ISSN 2523-3971, Vol. 3, article id 842Article in journal (Refereed) Published
Abstract [en]

To learn the characteristics of a cross-laminated timber (CLT) panel, it is crucial to perform experimental tests. This study presents two experimental test methods to measure the in-plane shear modulus of CLT panels. This characteristic can be measured by multiple methods such as the picture frame test, the diagonal compression test, and the diaphragm shear test. In this study, the same CLT panels are tested and evaluated in the diaphragm shear test and the diagonal compression test to see if more reliable results can be achieved from the diaphragm shear test. This evaluation is done by experimental tests and finite element simulations. The theoretical pure shear simulation is used as a reference case. Finite element simulations are made for both edge glued and non-edge glued CLT panels. Nine CLT panels are tested in the diaphragm shear test and the diagonal compression test. During ideal conditions (uniform material properties and contact conditions), all three simulated methods result in an almost equal shear modulus. During the experimental testing, the diagonal compression test gives more coherent results with the expected shear modulus based on finite element simulations. Based on the diaphragm shear test results, the CLT panels behave like edge glued, but this situation is dismissed. However, during ideal conditions, the diaphragm shear test is seen as a more reliable method due to the higher proportion of shear in the measured area.

Place, publisher, year, edition, pages
Springer, 2021
Keywords
Cross-laminated timber, CLT, Diagonal compression test, Diaphragm shear test, In-plane shear modulus
National Category
Building Technologies
Research subject
Wood Science and Engineering
Identifiers
urn:nbn:se:ltu:diva-83596 (URN)10.1007/s42452-021-04826-8 (DOI)000706735000001 ()2-s2.0-85117310044 (Scopus ID)
Note

Validerad;2021;Nivå 2;2021-10-25 (johcin)

Available from: 2021-04-12 Created: 2021-04-12 Last updated: 2025-10-21Bibliographically approved

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