A carbon/epoxy (AS4/3501-6) unidirectional lamina is loaded as shown in the figure. Determine the safety factor...

 

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A carbon/epoxy (AS4/3501-6) unidirectional lamina is loaded as shown in the figure. Determine the safety factor of this composite by using Tsai-Wu criterion. TABLE A.3 Properties of Typical Polymer Matrix Materials Epoxy (HY6010/ HT917/DY070) Property Density, p, g/cm³ (lb/in³) Young's modulus, E, GPa (Msi) Shear modulus, Gm GPa (Msi) Poisson's ratio, Vm Tensile strength, F MPa (ksi) Compressive strength, F MPa (ksi) Shear strength, F MPa (ksi) Coefficient of thermal expansion, Om 106/C (10-6/°F) Glass transition temperature, T°C (°F) Maximum use temperature, Tmax °C (°F) Ultimate tensile strain, & (%) Epoxy Epoxy (3501-6) (977-3) 1.27 (0.046) 1.28 (0.046) 4.3 (0.62) 1.60 (0.24) 0.35 69 (10) 200 (30) 100 (15) 45 (25) 200 (390) 150 (300) 2-5 3.7 (0.54) 1.37 (0.20) 0.35 90 (13) 175 (25) 52 (7.5) 200 (390) 177 (350) 1.17 (0.043) 3.4 (0.49) 1.26 (0.18) 0.36 80 (11.6) 104 (15.1) 40 (5.8) 62 (3.4) 152 (305) Polyesters 1.1-1.5 (0.040-0.054) 3.2-3.5 (0.46-0.51) 0.7-2.0 (0.10-0.30) 0.35 40-90 (5.8-13.0) 90-250 (13-35) 45 (6.5) 60-200 (33-110) 50-110 (120-230) - 2-5 50 MPa Vinylester (Derakane) 1.15 (0.042) 3-4 (0.43-0.58) 1.1-1.5 (0.16-0.21) 0.35 30 MPa 65-90 (9.4-13.0) 127 (18.4) 53 (29) 100-150 (212-514) 1-5 50, MPa fibers 50 MPa Polyimides 3.1-4.9 (0.45-0.71) 70-120 (10.1-17.4) 1.4-1.9 (0.050-0.069) 1.32 (0.049) 90 (50) 280-320 (540-610) 300-370 (570-700) 30 MPa 1.5-3.0 50 MPa Poly-ether- ether-ketone (PEEK) 3.7 (0.53) 96 (14) 143 (290) 250 (480) A carbon/epoxy (AS4/3501-6) unidirectional lamina is loaded as shown in the figure. Determine the safety factor of this composite by using Tsai-Wu criterion. TABLE A.3 Properties of Typical Polymer Matrix Materials Epoxy (HY6010/ HT917/DY070) Property Density, p, g/cm³ (lb/in³) Young's modulus, E, GPa (Msi) Shear modulus, Gm GPa (Msi) Poisson's ratio, Vm Tensile strength, F MPa (ksi) Compressive strength, F MPa (ksi) Shear strength, F MPa (ksi) Coefficient of thermal expansion, Om 106/C (10-6/°F) Glass transition temperature, T°C (°F) Maximum use temperature, Tmax °C (°F) Ultimate tensile strain, & (%) Epoxy Epoxy (3501-6) (977-3) 1.27 (0.046) 1.28 (0.046) 4.3 (0.62) 1.60 (0.24) 0.35 69 (10) 200 (30) 100 (15) 45 (25) 200 (390) 150 (300) 2-5 3.7 (0.54) 1.37 (0.20) 0.35 90 (13) 175 (25) 52 (7.5) 200 (390) 177 (350) 1.17 (0.043) 3.4 (0.49) 1.26 (0.18) 0.36 80 (11.6) 104 (15.1) 40 (5.8) 62 (3.4) 152 (305) Polyesters 1.1-1.5 (0.040-0.054) 3.2-3.5 (0.46-0.51) 0.7-2.0 (0.10-0.30) 0.35 40-90 (5.8-13.0) 90-250 (13-35) 45 (6.5) 60-200 (33-110) 50-110 (120-230) - 2-5 50 MPa Vinylester (Derakane) 1.15 (0.042) 3-4 (0.43-0.58) 1.1-1.5 (0.16-0.21) 0.35 30 MPa 65-90 (9.4-13.0) 127 (18.4) 53 (29) 100-150 (212-514) 1-5 50, MPa fibers 50 MPa Polyimides 3.1-4.9 (0.45-0.71) 70-120 (10.1-17.4) 1.4-1.9 (0.050-0.069) 1.32 (0.049) 90 (50) 280-320 (540-610) 300-370 (570-700) 30 MPa 1.5-3.0 50 MPa Poly-ether- ether-ketone (PEEK) 3.7 (0.53) 96 (14) 143 (290) 250 (480)

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The given problem involves calculating the safety factor of a carbonepoxy composite under a specific loading condition using the TsaiWu failure criterion The TsaiWu failure criterion is a phenomenolog... View the full answer