Lower Tolerance Limits for Screw Withdrawal in Wood

Authors

  • Mesut Uysal Purdue University
  • Eva Haviarova Purdue University

Keywords:

Lower tolerance limits, screw withdrawal test, joint, reliability

Abstract

In this study, the lower tolerance limits (LTLs) for screw withdrawal strength in wood were investigated. For this purpose, specimens were prepared from white oak and red oak wood (22.2 x 63.5 x 305 mm), a material widely used in furniture industry. Screw withdrawal tests were performed from tansverse, radial and tangential sections of wood specimens. Sample sizes for this study were determined by using modified Faulkenberry-Week methods. After considering normality, randomness and homogeneity assumptions for tolerance analysis, LTLs were obtained from data sets in each sample group. According to screw withdrawal tests, ultimate tensile strength was15.04 MPa, 17.93 MPa, and 16.77 MPa for red oak specimens; from each section, respoectively. Likewise, those of white oak specimens were 16.36 MPa, 19.67 MPa, and 17.21 MPa, respectively. Results of LTLs for 0.99/0.99 confidence/proportional level were 8.69 MPa, 11.96 MPa, and 10.30 MPa for red oak specimens, and 9.67 MPa, 11.14 MPa, and 11.58 MPa for white oak specimens from transverse, radial, and tangential sections of wood in screw withdrawal test, respectively. The study provides a systematic procedure to estimate design values for screws joints. 

References

ANSI/BIFMA e3 (2015) Furniture sustainablity standard and tools. BIFMA, Grand Rapids, MI.

Bal BC (2016) The effect of moisture content on the screw holding capacity of birch and pine plywood. Pages 1020-1025 in International Forestry Symposium, December 7-10, 2016, Kastamonu, Turkey.

Bal BC, Akcakaya E, Gundes Z (2017) Screw-holding capacity of melamine-faced fiberboard and particleboard used in furniture production. Mugla J Sci Tech 4(2):49-52.

Cockrell RA (1933) A study of the screw-holding properties of wood. MS thesis, New York State College of Forestry, Syracuse, NY.

Eckelman CA (1971) Bending strength and moment rotation characteristics of two-pin moment resisting dowel joints. For Prod J 21(3):35-39.

Eckelman CA (1973) Holding strength of screws in wood and wood based materials. Purdue Univ. Agr. Exp. Sta. Res. Bul. No. 895, 1-15.

Eckelman CA (1974) Which screw holds best? Furniture Design and Manufacturing 46(9):184-185.

Eckelman CA (1975) Screw-holding performance in hardwoods and particleboard. For Prod J 25(6):30-35.

Eckelman CA (1978) Predicting withdrawal strength of sheet metal type screws in selected hardwoods. For Prod J 28(8):25-28.

Eckelman CA, Cassens DL (1984) Holding strength of metal inserts in wood. For Prod J 34(6):21-25.

Eckelman, CA (1997) Wood moisture calculation. Purdue Univ. For. Nat. Resour. Furnit. Manuf., FNR 156, 1-18.

Eckelman CA, Uysal M, Haviarova E (2016) Statistical lower tolerance limits for rectangular mortise and tenon joints. BioResources 11(3):7162-7171.

Eckelman CA, Haviarova E, Kasal A, Erdil YZ (2017a) Lower tolerance limit approach to equation-based rational design values for T-shaped mortise and tenon joints. Wood Fiber Sci 49(1):113-121.

Eckelman CA, Haviarova E, Kasal A, Erdil YZ (2017b) Lower tolerance limit approach to equation-based rational design values for L-shaped mortise and tenon joints. Wood Fiber Sci 49(2):219-230.

Efe H, Demirci S (2005) The effects of cutting section to the holding strength of screw nut on different wood materials. GU Journal of Science 18(1):127-135.

Erdil YZ, Zhang J, Eckelman CA (2002) Holding strength of screws in plywood and oriented strand board. For Prod J 52(6):55-62.

European Parliament, Council of the European Union (2001) Directive 2001/95/EC General product safety. Original Journal of the European Communities. Luxemburg. https://eur-lex. europa.eu/legal-content/EN/TXT/PDF/?uri.CELEX: 32001L0095&from.EN (20 September 2019).

Fairchild IJ (1926) Holding Power of wood screws. U.S. National Bureau of Standards Tech. Paper No. 319. Government Printing Office, Washington D.C.

Feirer JL (1972) Advanced wood work and furniture making, 4th edition. 512 pp.

Faulkenberry GD, Weeks DL (1968) Sample size determination for tolerance limits. Technometrics 10(2): 343-348.

Forest Products Laboratory (1940) Wood handbook: Wood as an engineering material. U.S. Department of Agriculture, Madison, WI.

Forest Products Laboratory (2010) Wood handbook: Wood as an engineering material. U.S. Department of Agriculture, Madison, WI.

Guttman I (1970) Statistical tolerance regions. Hafner Publishing Company, Darien, CT.

Hu X (2007) Asymptotical distributions, parameters and coverage probabilities of tolerance limits. Comput Stat Data Anal 51(9):4753-4760.

IresonWG, Smith BE, Resnikoff GJ (1960) Statistical tolerance limits. https://statistics.stanford.edu/sites/g/files/sbiybj6031/f/LIE%20ONR2%201.pdf (20 September 2019).

Jivkov V, Kyuchukov B, Simeonova R, Marinova A (2017) Withdrawal capacity of screws and confirmat into different wood-based panels. Pages 68-82 in the International Conference on Research for Furniture Industry, Poznan, Poland, September 21-22, 2017.

Link CL (1985) An equation for one-sided tolerance limits for normal distributions. Res. Pap. FPL 458. Statistician, 1-4. http://www.fpl.fs.fed.us/documnts/fplrp/fplrp458.pdf (20 September 2019).

Natrella MG (1963) National Bureau of Standards Handbook 91: Experimental statistics. U.S. Government Printing Office, Washington, D.C.

Ors Y, Ozen R, Doganay S (1998) Screw holding ability (strength) of wood materials used in furniture manufacture. Turk J Agric For 22:29-34.

Ozciftci A (2009) The effects of pilot hole, screw types and layer thickness on the withdrawal strength of screws in laminated veneer lumber. Mater Des 30(7):2355-2358.

Percin O, Yasar SS, Altunok M, Uzun O (2017) Determination of screw withdrawal resistance of some heat treated wood species. Drv Ind 68(1):61-68.

Rajagopalan S (2004) Statistical tolerance limits for process capability. Def Sci J 54(3):303-306.

Saweeres ESB, Kuiper JH, Evans RO, Richardson JB, White SH (2005) Predicting in vivo clinical performance of anterior cruciate ligament fixation methods from in vitro analysis: Industrial tests of fatigue life and tolerance limits are more useful than other cyclic loading parameters. Am J Sports Med 33(5):666-673.

Semple KE, Smith GD (2005) Prediction of internal bond strength in particleboard from screw withdrawal resistance models. Wood Fiber Sci 38:256-267.

Silva A, Carvalho F, Mexia J, Fonseca M (2013) One-sided tolerance interval in a two-way balanced nested model with mixed effects. Pages 818-820 in 11th International Conference of Numerical Analysis and Applied Mathematics, September 21-27, 2013, Rhodes, Greece.

Smardzewski J (2009) The reliability of the joints and cabinet furniture. Wood Res 54(1):1-10.

Uysal M, Haviarova E (2018) Estimating design values for two-pin moment resisting dowel joints with lower tolerance limit approach. BioResources 13(3):5241-5253.

Uysal M, Haviarova H, Eckelman CA (2015) A comparison of the cyclic durability, ease of disassembly, repair, and reuse of parts of wooden chair frames. Mater Des 7:75-81.

Yorur H, Tor O, Gunay MN, Birinci E (2017) The effects of different variables on the direct screw withdrawal strength in plywood. Kastamonu Univ Journal of Forestry Faculty 17(2):325-333.

Young DS (2010) Tolerance: An R package for estimating tolerance intervals. J Stat Softw 36:1-36.

Young DS (2016) Normal tolerance interval procedures in the tolerance package. J Risk 8(2):200-212.

Young DS, Gordon CM, Zhu S, Olin BD (2016) Sample size determination strategies for normal tolerance intervals using historical data. Qual Eng 28(3):337-351.

Yuksel M, Yildirim N, Kasal A, Erdil YZ, Demirci S (2014) Effect of the panel type and panel thickness on moment resistance of screw-jointed corner joints and stiffness of four-member cabinets. BioResources 9(4):6340-6349.

Zaslavsky BG (2007) Calculation of tolerance limits and sample size determination for clinical trials with dichotomous outcomes. J Biopharm Stat 17(3):481-491.

Published

2019-10-24

Issue

Section

Research Contributions