Dynamic Young s Modulus, Shear and Torsional Moduli of Pine Beams
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1 Dynamic Young s Modulus, Sear and Torsional Moduli of Pine Beams In two different teories Seyede Masoume Hasemi Taalvandani Department of Wood and Paper Science and Tecnology, Islamic Azad University, Karaj Branc, Iran Meran Roonia, P.D Agriculture Researc Centre, Islamic Azad University, Karaj Branc, Iran Seyed Moammad Naavi Department of Wood and Paper Science and Tecnology, University of Teran, Iran Sopron, Hungary - 011
2 Introduction Determination of elastic constants of wooden eams (suc as, Young and sear modulus) y free-free flexural viration test Using resonant frequency in te flexural mode of viration Dynamic Young s modulus Using resonant frequency in te torsional mode of viration Dynamic sear modulus Basic teory is dependent on Timosenko's ending teory In tis study, just first mode of viration used to assess torsional modulus 17 t International Nondestructive Testing and Evaluation of Wood Symposium
3 Material & Metod 30 rectangular clear eams of Pinus orientalis wit mm (R T L) dimensions (wide samples) Conditioning at 65% relative umidity and C for two weeks Free-free flexural viration tests used to measure sear modulus Young and sear modulus from te Timosenko metod in LT direction Impact points and transducer locations for transverse flexural mode (ASTM C1548-0) 3 17 t International Nondestructive Testing and Evaluation of Wood Symposium
4 Material & Metod Transverse (flexural) Viration of a Free-Free Beam ASTM C ased on te 1 st mode of vi. (Originally for Refractory Materials) E mf L 3 3 T 1 T E: Dynamic Longitudinal Modulus of Elasticity, Pa : Widt, m : Heigt, m L: Lengt, m m: Mass, Kg f: Modal Frequency, Hz L Timosenko s ending equations ased on te tree initial modes of vi. (Originally for isotropic Materials) 4 17 t International Nondestructive Testing and Evaluation of Wood Symposium
5 Material & Metod Torsional viration test to gain torsional modulus of specimens due to ASTM C Impact points and transducer locations in torsional viration (ASTM C1548-0) Impact point and sensor located at te first nodes of transverse viration (0.4L) Prevent confliction etween first mode of torsional viration and flexural viration 5 17 t International Nondestructive Testing and Evaluation of Wood Symposium
6 Material & Metod 6 17 t International Nondestructive Testing and Evaluation of Wood Symposium Torsional Viration of a Free-Free Beam ASTM C1548-0: A B Lmf G t t B A G t : Torsional Modulus, Pa f t : Fundamental Resonant Frequency of te Beam in Torsion, Hz
7 Material & Metod Specimens split to mm (R T L) dimensions (tin samples) Conditioning at 65% relative umidity and C for two weeks Young and sear modulus y Timosenko metod in LR and LT direction Effective sear modulus (G eff ); Flexural viration and torsional viration mode will overlap in tin samples 7 17 t International Nondestructive Testing and Evaluation of Wood Symposium
8 Results & Discussion Young's modulus (GPa) in free-free tests of flexural viration (ASTM C metod) Tin samples can e used instead of wide samples in nondestructive tests 8 17 t International Nondestructive Testing and Evaluation of Wood Symposium
9 Results & Discussion Young s modulus (GPa) in free-free tests of LT flexural viration (ASTM C metod) Young s modulus (GPa) in free-free tests of flexural viration in tin samples (ASTM C metod) 9 17 t International Nondestructive Testing and Evaluation of Wood Symposium
10 Results & Discussion Young's modulus (GPa) in free-free tests of flexural viration (Timosenko metod) Correlation etween modulus of elasticity of tin and wide specimens wit a significant coefficient t International Nondestructive Testing and Evaluation of Wood Symposium
11 Results & Discussion Young s modulus (GPa) in free-free tests of LT flexural viration (Timosenko metod) Young s modulus (GPa) in free-free tests of flexural viration in tin samples (Timosenko metod) t International Nondestructive Testing and Evaluation of Wood Symposium
12 Results & Discussion Torsional modulus (GPa) in wide samples Trosional modulus values of flexural viration/astm metod is NOT reliale 1 17 t International Nondestructive Testing and Evaluation of Wood Symposium
13 Conclusion Dynamic effective Sear modulus and Torsional Modulus could not e correlated well. Because te GLR and GLT in Timosenko teory are only estimated values. Longitudinal Dynamic modulus of elasticity of a clear wood (Ortotropic) could e evaluated same as an isotropic material t International Nondestructive Testing and Evaluation of Wood Symposium
14 Acknowledgement Islamic Azad University, Karaj ranc, Iran for financially supporting tis researc NDTiranian scientific ased group for computer programming (
15 15
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