This topic introduces the application of standard design procedures to the analysis and design of common linear elements in timber structures, such as straight beams with constant cross-sections, variable-depth beams, and columns. In particular, it covers both sectional and member verification procedures for ultimate limit states (ULS) — under persistent and fire conditions — and serviceability limit states (SLS).
A set of downloadable files has been prepared for instructors and tutors, containing the statements of various assignments. In each case, the values of the geometric and mechanical variables defining the problem must be specified in advance by the instructor.
Students complete the exercises through a sequence of guided responses provided within each statement. These responses lead them step by step through the verification procedure, incorporating all required factors and code-based checks. The proposed sequence also facilitates the creation of customized spreadsheets that students can later use to solve similar problems.
Students are required to complete all response fields in each assignment (highlighted in yellow) using their spreadsheet and the referenced supporting documentation to find any necessary information. Once the assignment is finished, they must compare their results with the instructor’s solution and, if necessary, make the appropriate corrections to their spreadsheet. Working in pairs is proposed for these assignments.
Ability to calculate internal forces in simple statically determinate and indeterminate elements.
Ability to determine stresses from the internal forces acting on a cross-section.
Understanding of the fundamental principles of instability phenomena.
Ability to perform load combinations (ULS, SLS, and fire).
Knowledge of timber as a structural material, including its orthotropy and heterogeneity, the main structural products and strength classes, as well as the key factors influencing its mechanical properties and how these are accounted for in current design standards.
Ability to design or verify simple structural elements (straight beams with constant cross-sections, columns, and beams with variable cross-section) to ensure adequate strength and stiffness, including the effects of instability phenomena at the member level.
The objective is to verify and, if necessary, redesign a main beam of a floor composed of glued laminated timber beams arranged in parallel and evenly spaced. CLT panels are supported transversely on these beams, configured as two-span elements. The panels act as a rigid diaphragm, providing stability and preventing lateral-torsional buckling of the beams.
Students must carry out the verifications corresponding to the ULS and SLS of the proposed beam. In the process, they will need to calculate the critical acting stresses and identify the strength values to be applied, considering the modification and correction factors. For each specified load combinations, they must determine the corresponding utilization ratio. If the cross-sectional dimensions are found to be inadequate, they should propose a redesign to satisfy the required structural performance.
This assignment is divided into three stages:Â
Verification of resistance under persistent design situation
In this stage, the student must carry out checks of the beam’s bending and shear strength, as well as the bearing strength at the supports. For each verification, the student should select the appropriate span for calculation, according to the attached figure.
Verification of resistance under fire design situation
In this stage, the student must check the beam’s bending strength using the reduced section method. For this, the residual cross-section after the fire (effective section) should be considered. In this situation, checks for shear and perpendicular-to-grain compression at the supports are not required.
Verification of deflections
In this stage, the student must carry out checks for structural integrity, comfort, and appearance, taking into account material creep and the deflection component caused by shear stress.
Design of timber estructures vol 2 - Rules and formulas according to Eurocode 5 | Swedish Wood (www.swedishwood.com). Chapters 1-6, 9
Design of timber structures vol 3 - Examples | Swedish Wood (www.swedishwood.com). Examples 3.1, 3.2, 7.1
The Glulam Handbook vol 3 | Swedish Wood (www.swedishwood.com). Example 1
Limit state design and safety format | Structural Timber Education Program (https://e-step.net/)
Bending | Structural Timber Education Program (https://e-step.net/)
Shear | Structural Timber Education Program (https://e-step.net/)
The objective is to verify and, if necessary, redesign a façade column for an industrial building. The façade substructure consists of two-span horizontal elements that transfer loads to the columns, and is designed in such a way that it prevents buckling and lateral torsional instability of the column within the plane of the façade.
Students must perform the corresponding ULS verifications. In the process, they will have to calculate the governing internal forces, consider instability phenomena (buckling), and identify the strength values to be applied, considering the corresponding modification and correction factors. For each specified load combinations and sections, they must determine the corresponding utilization ratio. If the cross-sectional dimensions are found to be inadequate, they should propose a redesign to satisfy the required structural performance.
This assignment is divided into two stages:Â
Verification of cross-sectional resistance and member stability under persistent design situation
In this stage, the student must carry out sectional resistance checks for compression and flexural compression, as well as member stability checks considering the strength reductions due to buckling, for various load combinations.Â
Verification of cross-sectional resistance and member stability under fire design situationÂ
In this phase, the student must perform checks of cross-sectional resistance and member stability, taking into account the residual cross-section after fire exposure (effective section).
Design of timber estructures vol 2 - Rules and formulas according to Eurocode 5 | Swedish Wood (www.swedishwood.com). Chapter 5
The Glulam Handbook vol 3 | Swedish Wood (www.swedishwood.com). Chapters 8-9, Example 6
Columns | Structural Timber Education Program (https://e-step.net/)
Buckling lengths | Structural Timber Education Program (https://e-step.net/)
The objective is to verify and, if necessary, design a large-span double-tapered glued laminated timber beam forming the roof of an industrial building.Â
Students must carry out the ULS and SLS verifications of the proposed beam. In the process, they will need to calculate the critical acting stresses and identify the strength values to be applied, considering the modification and correction factors. For the specified load combination, they must determine the corresponding utilization ratio. If the cross-sectional dimensions are found to be inadequate, they should propose a redesign to satisfy the required structural performance.
This assignment is divided into two stages:Â
Verification of cross-sectional resistance and member stability under persistent design situation
In this stage, the student must carry out checks of the bending strength at the critical and midsections, the tensile strength perpendicular to the grain in the apex region, the compression perpendicular to grain and shear strengths at the supports, and the lateral-torsional buckling.
Verification of deflections
In this stage, the student must carry out checks for integrity and appearance, taking into account material creep and the deformation component caused by shear stress.
Design of timber estructures vol 2 - Rules and formulas according to Eurocode 5 | Swedish Wood (www.swedishwood.com). Chapters 1-4, 8
Design of timber structures vol 3 - Examples | Swedish Wood (www.swedishwood.com). Example 3.5
The Glulam Handbook vol 3 | Swedish Wood (www.swedishwood.com). Chapter 10, Example 2
Tapered, curved and pitched cambered beams | Structural Timber Education Program (https://e-step.net/)
*References under each assignment
Further references:
Free calculation software: SPEC Toolbox: https://spectoolbox.com/ Â | Tutorial video: https://www.youtube.com/@SPECToolbox/videosÂ