APPENDIX 1 STRESSES IN THE PLIES OF A LAMINATE OF CARBON/EPOXY LOADED IN ITS PLANE The tables in this appendix give for each ply in the laminate the stresses along the principal orthotropic directions of the ply,denoted as e and t.These stresses are denoted as o,o,,Ta.The laminate is successively subjected to three cases of simple loading: o=1 MPa:normal stress along the 0 direction. o,=1 MPa:normal stress along the 90 direction. Txy=1 MPa:shear stress. CHARACTERISTICS OF EACH PLY V=60%fiber volume fraction. Thickness of each ply:0.13 mm. ■Moduli: Modulus along the fiber direction:E=134,000 MPa. Modulus along the transverse direction:E,7000 MPa. Shear modulus:Ga =4200 MPa. Poisson coefficient:v=0.25. ■ Fracture strength: Tension along the longitudinal direction:nupure=1270 MPa. Compression along the longitudinal direction:pure=1130 MPa. Tension along the transverse direction:,pue=42 MPa. Compression along the transverse direction:o,upure=141 MPa. Shear strength:a nupure=63 MPa. 2003 by CRC Press LLC
APPENDIX 1 STRESSES IN THE PLIES OF A LAMINATE OF CARBON/EPOXY LOADED IN ITS PLANE The tables in this appendix give for each ply in the laminate the stresses along the principal orthotropic directions of the ply, denoted as and t. These stresses are denoted as σ, σt , τ t . The laminate is successively subjected to three cases of simple loading: σx = 1 MPa: normal stress along the 0° direction. σy = 1 MPa: normal stress along the 90° direction. τ xy = 1 MPa: shear stress. CHARACTERISTICS OF EACH PLY Vf = 60% fiber volume fraction. Thickness of each ply: 0.13 mm. Moduli: Modulus along the fiber direction: E = 134,000 MPa. Modulus along the transverse direction: Et = 7000 MPa. Shear modulus: Gt = 4200 MPa. Poisson coefficient: νt = 0.25. Fracture strength: Tension along the longitudinal direction: σ rupture = 1270 MPa. Compression along the longitudinal direction: σ rupture = 1130 MPa. Tension along the transverse direction: σt rupture = 42 MPa. Compression along the transverse direction: σt rupture = 141 MPa. Shear strength: τ t rupture = 63 MPa. TX846_Frame_Appendix Page 503 Thursday, July 11, 2002 5:42 PM © 2003 by CRC Press LLC
Plate 1 percentage of 90°plies 血 100 品 x=1 MPa 90% 白 品 -0 合 2 80% 70% 。 80 品 50% 4.1 品 211 0.02 82 0 0 40 3.97 .78 6 -0.01 0. 8 00 0.01 0 30% 199 72 15到 8 0.01 0 0. 20% 4.17 2.41 1.5 1.33 2 1.1 0.07 -0.03 -0.02 -0.015 -0.01 - 0.01 0 0. o percentage of 10% 0°plies 品2 100 0. 0% 1096 209 309 40e 509 609 70 80% 909 100 00% 90 80 60% 50% 40 30% 20 10 0% percentage of t4 plies (o: stresses in 0 plies,respectively (MPa) as function of the percentage of plies in directions0°，90°，+45 \a -45,for an applied uniaxial stress oy=1 MPa 2003 by CRC Press LLC
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Plate 2 percentage of 9o°plies 1009% Ox=1 MPa 90% 2 0 017 -0 82 89 亡 日： 0.25 0.12 -0.02 0.14 0.12 0. 0 8数 0.11 50%6 149 -0.37 0.23 -0.12 -0.03 015 0.13 01 .09 0.08 0. 0. 0 0. 0 a19 -0.54 -0.37 -0.24 0.13 0.04 0.12 0.09 008 .07 0. 0. 0 0 0 0 0 30% 89 88 0 20% 1.6 1.18 0.9 -0.7 -0.52 0.38 -0.23 -0.08 14 0.11 .09 0.08 .07 0.0 0.08 0.06 10 0. 0. 0 0 0 0 percentage of 0°plies 0%e 0% 10 209 30% 4096 50% 60% 70% 809% 90 100 100% 90% 80% 70 60% 50% 30% 20% 10% percentage of ±45°plies 6 stresses in 90 plies,respectively: (MPa) as function of the percentage of plies in directions0°，9o°，+45°， -45°，for an applied uniaxial stress ox=1 MPa 2003 by CRC Press LLC
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Plate 3 percentage of 90°plies 1009 6.43 Ox=1 MPa 0.41 0.4③ 90% 2.84 白 -0 0.18 -0.34 -02 2.43 1.82 0.16 0.12 0.17 -0.12 2.1 0.13 733 0.09 -0.28 -012 -0.09 889 品8 .04 0.07 0.15 0.09 0.07 -0.16 0.06 品 8 0.7 1小幼 8d 8 0.7 0.85 0.61 0.05 0.04 0.04 004 013 008 -0.07 0.05 0.05 673 0 0.54 05 0.5 0.47 9 0.05 0.04 0.04 0.03 0.03 0.03 0.2 0.15 percentage of 0.11 -0.09 0.08 0.08 0.05 -0.04 0°plies 82 88 0% 0% 10% 20阳 30% 409% 509% 709 809 90% 1009 100% 90 80r 60% 40% 30% 20% percentage ±45°pies 6 stresses in +45 plies,respectively (MPa) as function of the percentage of plies in directions0°，90°，+45° 人心 -45°，for an applied uniaxial stress cy=1 MPa 2003 by CRC Press LLC
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Plate 4 percentage of 9o°plies 1009 x=1 MPa 白 -09 宁 甜 品2 品 品。 8 88 0.7 0.05 0.08 8 0.05 鹏 8 88 0.54 0. 0.48 047 88s 88 0.03 0.03 0.06 003 0.15 0.04 percentage of 888 0.4 8 0.28 9 0.25 025 0.25 0°plies 03 0.03 0.02 0.02 0.02 0.02 0.02 0. 0.27 0.19 0.14 0.12 0.1 0.0g 0.07 0.08 0.05 0 0% 10 209 30%a 40% 50% 60% 709% 80% 90% 100% 00% 90 80r% 60% 50% 0% 30% 20% 0 percentage of t4 plies 6 stresses in-45 plies,respectively: G:(MPa) as function of the percentage of plies in directions0°，90°，+45 -45°，for an applied uniaxial stress cx=1 MPa 2003 by CRC Press LLC
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Plate 5 percentage of 90°plies 100 0 90% 023 *0 006 0. 0. 80% 3 -0.16 0.04 8 87 70% ,=1a 889 029 -0.13 0.07 00e 808 0 0. 60% 83e 88 012 09 8e 0. 0. 0 50% 品 3 02 8 8 8 40% 0 037 0.13 8 612 014 o. 0 0 0. 0. 0. 309 -1.6 -1.1 06 04 -028 0.13 4 0.15 810 82 20% 2.2 158 .18 0.87 06 048 0.33 87 -0.01 percentage of 89 8i9 82 82 24 027 0 8 035 0°plies 10 8 0.75 058 -033 037 43 0.52 068 0 0. 0 0 0 0. 0% (o 10% 20% 30% 409% 50% 60% 70% 80% 90% 100% 100% 90% 70% 60% 50% 40% 30% 0% 10% 0% percentage ±45°plies 6 stresses in 0 plies,respectively (MPa) as function of the percentage of plies in directions0°，90°，+45o t -45°，for an applied uniaxial stress oy=1 MPa 2003 by CRC Press LLC
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Plate 6 percentage of 90°plies 100 1.09 0 90% 8 *0 0. & 70 ☑，=1wa 。 756 8 62 172 1.78 0.c2 0. 0. 0 190 。8 8 0 40P 0 278 297 002 0.03 0.04 0. 0. 0. 0 309 300 。品 品 38 39明 43 387 percentage of 00 8 0.09 888 0°plies 109 0% 0% 10% 20% 40 50% 60% 709% 09% 90% 100% 100% 90 80 70 60% 50 40% 30% percentage ±45°plies Ge stresses in 90 plies,respectively o,(MPa) as function of the percentage of plies in directions0°，90°，+45° -45°，for an applied uniaxial stress oy=1 MPa 2003 by CRC Press LLC
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Plate 7 percentage of 9o°plies 100 8 0 049 80g 品 -1 MPa 0. 88g 8 88 器 品 88 284 percentage of 88 o°plies 翩 2 260 384 482 643 8品 017 025 031 041 024 026 02 034 043 0% 10% 20% 30%6 40% 509% 60% 70% 80% 90a 1009 100% 80% 709 60% 40% % percentage ±45°plies 6 stresses in +45 plies,respectively G,(MPa) as function of the percentage of plies in directions0°，90°.+45 -45°，for an applied uniaxial stress cy=1 MPa 2003 by CRC Press LLC
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Plate 8 percentage of 90°plies 100 8 90 028 0.49 *0 % 88 80 Cy 1 MPa 709% 071 82 886 88 085 005 509% 0 0.03 i 0.06 007 0.12 0.09 07 0.07 8 0.61 1.33 0.04 d87 0.08 0.03 14 0.11 0.1 o.ce 0.0g 0.09 -0.0g 11 127 1.43 12 0.07 0.08 0.09 0.1 0.12 02 0.15 0.13 0.12 0.12 0.12 -0.12 0.12 4 i.6 i84 2.11 243 28 percentage of 0.06 008 0 01 012 014 0.18 018 0°plies 0.2 -0.18 -0.18 -0.18 -0.16 -018 -0.17 -0.19 14 2 3.17 3.84 4.82 0.09 0.1 e 5 0.17 0.2 0.31 0.4 05 0.33 -027 025 024 024 D28 02 034 043 09% 0% 10% 209% 30% 409% 50% 60% 706 809. 1009% 100 90% 0 70% 60% 50% 40% 30% 20 percentage ±45°plies f Gt stresses in-45 plies,respectively: (MPa) as function of the percentage of plies in directions0°，90°，+45° -45°，for an applied uniaxial stress o=1 MPa 2003 by CRC Press LLC
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Plate 9 percentage of 90°plies 100% 90% 00, 80% 8 +0 001 Txy=1 MPa 70% 00 60% 0. 60% 6。 0 8 0.22 26 0.32 841 0.58 40% 8。 022 0 001 0.41 30% 0 8 1 20% 0 0 0.15 0.17 0.19 0. 0.26 0.32 0.4 058 percentage of 10% 0°plies 0 0.13 0.15 0.17 0.19 0.22 0.28 0.32 0.41 0.59 0% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 100 80% 70 60% 50% 40 30% 20 10 percentage ±45°pies Ge stresses in 0 plies,respectively c,(MPa) as function of the percentage of plies in directions0°，90°，+45 -45°，for an applied uniaxial stress txy=1 MPa 2003 by CRC Press LLC
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