Derivation and application of an equation for calculating shear modulus of three-ply laminated material beam from shear moduli of individual laminae |
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Authors: | Han-Min Park Masami Fushitani Hee-Seop Byeon |
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Institution: | (1) College of Agriculture, Institute of Agriculture and Life Science, Gyeongsang National University, Jinju, 660-701, Republic of Korea;(2) Faculty of Agriculture, Tokyo University of Agriculture and Technology, Fuchu, Tokyo 183-8509, Japan |
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Abstract: | In a detailed study of the relation between the deflection caused by shear force and the constitution of a laminated material
beam, we derived an equation for calculating the shear modulus of a laminated material beam from the shear moduli of individual
laminae. The validity of the derived equation was investigated using crosslaminated wood beams made with five species. The
calculated shear moduli parallel to the grain of face laminae ranged from 48.3 MPa to 351 MPa, while those perpendicular to
the grain of face laminae ranged from 58.0 MPa to 350 MPa. The calculated shear moduli increased markedly with increasing
shear modulus in a cross section of perpendicular-direction lamina of a cross-laminated wood beam. The calculated apparent
modulus of elasticity (MOE) of cross-laminated wood beams agreed fairly well with the measured apparent MOE values. This fact
indicated that the apparent MOE of cross-laminated wood beam was able to be calculated from the true MOE values and shear
moduli of individual laminae. The percentage of deflection caused by shear force obtained from the calculated apparent MOE
(Y
sc) was close to that obtained from the measured apparent MOE (Y
s) and there was a high correlation between both values. From the above results, it was concluded that the derived equation
had high validity in calculation of shear modulus of a cross-laminated wood beam. |
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Keywords: | Three-ply laminated material beam Shear modulus Modulus of elasticity Shear force Deflection |
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