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Strength characterization of wood to wood connections using stress field analysis By Mitchell G. Shope B.S. Mechanical Engineering University of Tennessee Knoxville, College of Engineering (2015) SUBMITTED TO THE DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING IN PARTIAL FULFILLMENT OF THE REQUIREMENTS OF THE DEGREE OF MASTER OF ENGINEERING IN CIVIL AND ENVIRONMENTAL ENGINEERING AT THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY JUNE 2016 0 2016 Mitchell Grafton Shope. All Rights Reserved. The author hereby grants MIT permission to reproduce and distribute publicly paper and electronic copies of this thesis document or in part any medium now known or hereafter created. Signature of Author: Signature redacted Department of Civil and Environmental Efigineering MayMy1th 1 ,2016 Certified by: _______________Signature redacted c*entinFivet Lecturer of Civil and Environmeny Engineeri The * Co-SpeV/yf Certified by: Signature redacted John Ochsen'dorf Class of 1942 Professor of Civil and Environmental Engineering and Architecture I Thesis P-Sypervisor Accepted by : Signature redacted Aeidi M. 4epf Donald and Martha Harleman Professor of Civil and Environmental Engineoring MASSACHUSETTS INSTITUTE Chair, Departmental Committee for Graduate Program OF TECHNOLOGY JUN 0 7 2016 LIBRARIES Strength characterization of wood to wood connections using stress field analysis by Mitchell Shope Submitted to the Department of Civil and Environmental Engineering on May 9 h, 2016 In Partial Fulfillment of the Requirements for the Degree of Master of Engineering in Civil and Environmental Engineering ABSTRACT Minimizing construction cost and material usage are two dominant aspects in structural design. As a building material, timber presents a cheap, renewable option. However, current practice favors steel connections for wood structures. Wood to wood connections offer a solution to the minimization of steel connections. While some wood-only connections are referenced in timber codes, small modifications to these designs as well as a multitude of other possible connection types are yet to be characterized. This thesis analyzes wood to wood joints with stress fields. Stress field analyses may quickly and easily enable the design of timber joints and characterize the maximum loads they can handle. First, this thesis surveys and interconnects the theoretical concepts of wood behavior, plastic design, stress fields, and graphic statics. Additionally, this thesis tests these relationships empirically by load testing a designed double-birdsmouth connection and observing inconsistencies between the theoretical stress field model, code-required strength, and physical tests. The thesis shows that stress fields are a suitable design approach when considering the design of this wood-wood joint. The results also show that careful consideration must be attributed to the material properties of the wood as well as the possible failure modes. This thesis finally shows that shear failure should be checked in addition to compressive and tensile failure and provides a quick method to ensure a safe design. Thesis Co-Supervisor: John Ochsendorf Title: Professor of Civil and Environmental Engineering and Architecture Thesis Co-Supervisor: Corentin Fivet Title: Lecturer of Civil and Environmental Engineering 3 Acknowledgements This thesis is dedicated to my wonderful and loving mother, Robin Shope, for which none of this year could have ever happened. Thank you for teaching me a tireless work ethic and to continue to push myself further and achieve more than I thought possible, even when I continue to resist. I additionally want to thank my father Frank Shope for his incessant words of advice and encouragement as well as his ability to truly live by example. Although I may have resisted working for long periods of the day, I can finally say with 70 pages of proof that you have instilled in me a desire to exceed expectations and work until the job is finished. More thanks to my lovely girlfriend Marlee Houk for her willingness to put up with long talks of engineering nonsense and wood theory. Thanks for always pushing me to remember how blessed I am to be provided with all of the opportunities I have had this year. Thank you to my brother Connor Shope for offering the support and ability to unplug for a couple hours a week in deep strategic planning to keep my mind sharp and tactful. An unquantifiable abundance of thanks to Corentin Fivet for the absurd amount of hours discussing wood theory, graphic statics, plastic theory, and generally discussing what the hell was happening inside a piece of wood. I am forever grateful for your dedication to teaching and to your students, and you've made this a fantastic year at MIT for the entire MEng program. Thanks to John Ochsendorf for the continual support and encouragement to join the MIT community. Your zeal and fervor for structural engineering as well as the little chocolate cream cakes at the open house are what really drew me in to attending MIT. More thanks to Chris Dewart for his immense help in the ordering, handling, and fabrication of the wood used in the tests. Thank you to Stephen Rudolph for his abundance of help in making the testing of the joints possible. This thesis would not have happened without his consul and support. I would also really like to extend a special thank you to Ron Anthony for his advice and expertise in the physical domain of wood design. Without his experience and background, the results and contributions of this thesis would remain largely unclear. Last word of thanks to all of my MEng cohort, this year wouldn't have been possible without all of the support and collaboration from each of you. I will forever remember all of the blood, sweat, and flaming wax that we shared together in the MEng room. 5 Table of Contents 1 I Introduction .......................................................................................................................................... 10 1. 1 Background ............................................................................................................................. 10 1.2 Research M otivation ........................................................................................................... 10 1.3 Problem Statem ent .................................................................................................................. 11 1.4 Research Objectives ................................................................................................................ 12 2 Literature Review ................................................................................................................................. 13 2.1 W ood Science and M echanics ............................................................................................. 13 2.2 W ood-only Connection Design ........................................................................................... 19 2.3 Plastic Theory .......................................................................................................................... 21 2.4 Stress Fields in Concrete Design ........................................................................................ 24 2.5 Graphic Statics ........................................................................................................................ 30 2.6 Stress Fields in W ood Design ............................................................................................. 31 3 Experim ent Setting ............................................................................................................................... 34 3.1 Literature Research of Joint .................................................................................................. 34 3.2 Dim ensioning of Experim ental Joint .................................................................................... 39 3.3 Construction of Joints and Transmission Apparatus ............................................................ 45 3.4 Compressive Strength Tests of Joints ................................................................................. 47 3.5 Allowable Strength of Tested Specimens ............................................................................. 48 3.6 Stress Field Approxim ations ............................................................................................... 49 4 Results .................................................................................................................................................. 55 4.1 Physical Tests .......................................................................................................................... 55 4.2 Code Approxim ations ......................................................................................................... 58 4.3 Stress Field Approxim ations ............................................................................................... 60 5 Discussion ............................................................................................................................................ 64 5.1 Comparison of Design Approaches ...................................................................................... 64 5.2 Guidelines for Stress Field Design and Future W ork .......................................................... 66 6 Conclusions .......................................................................................................................................... 67 References .................................................................................................................................................