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Q1: You are designing a high-pressure oxygen cylinder for hospitals fighting against COVID. The material used is layered unidirectional continuous fiber reinforced composite, as schematically shown in Fig.1 (a). In the 0⁰ layer, the fiber is along the Y direction, and the fiber is along X direction in the 90° layer. The thickness of the 90° layer is 1.5 times of that of the 0° layer. The matrix material is an isotropic material with the Young's modulus E-10 GPa and volume fraction Vm=20%, while the continuous fiber is an anisotropic material with the Young's modulus E₁-250 GPa along the length direction, E2-20 GPa along the transverse direction and volume fraction V₁-80% a) Based on rule of mixture and mechanics of material method, calculate the effective Young's modulus along each direction (Ex, Ey, E₂). b) The as-produced (unloaded) inner radius Ro-0.1 m, the wall thickness H=0.005 m (<

Q1: You are designing a high-pressure oxygen cylinder for hospitals fighting against COVID. The material used is layered unidirectional continuous fiber reinforced composite, as schematically shown in Fig.1 (a). In the 0⁰ layer, the fiber is along the Y direction, and the fiber is along X direction in the 90° layer. The thickness of the 90° layer is 1.5 times of that of the 0° layer. The matrix material is an isotropic material with the Young's modulus E-10 GPa and volume fraction Vm=20%, while the continuous fiber is an anisotropic material with the Young's modulus E₁-250 GPa along the length direction, E2-20 GPa along the transverse direction and volume fraction V₁-80% a) Based on rule of mixture and mechanics of material method, calculate the effective Young's modulus along each direction (Ex, Ey, E₂). b) The as-produced (unloaded) inner radius Ro-0.1 m, the wall thickness H=0.005 m (<

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Q1: You are designing a high-pressure oxygen cylinder for hospitals fighting against COVID. The material used is layered unidirectional continuous fiber reinforced composite, as schematically shown in Fig.1 (a). In the 0° layer, the fiber is along the Y direction, and the fiber is along X direction in the 90° layer. The thickness of the 90° layer is 1.5 times of that of the 0° layer. The matrix material is an isotropic material with the Young's modulus E-10 GPa and volume fraction Vm-20%, while the continuous fiber is an anisotropic material with the Young's modulus E₁-250 GPa along the length direction, E2-20 GPa along the transverse direction and volume fraction V₁-80% a) Based on rule of mixture and mechanics of material method, calculate the effective Young's modulus along each direction (Ex, Ey, E₂). b) The as-produced (unloaded) inner radius Ro-0.1 m, the wall thickness H=0.005 m (<<Ro, consider as thin-wall cylinder and ignore the end effect), while the oxygen pressure when fully loaded P-20.1 MPa, and the environment pressure P,-0.1 MPa. Calculate the radius increase from unloaded state to fully-loaded state: (i) if the fiber of the 0° layer is along the circumferential direction of the cylinder; (ii) if the fiber of the 90° layer is along the circumferential direction of the cylinder. Z Y 0° 90° 0° 90° X Figure 1
Transcribed Image Text:Q1: You are designing a high-pressure oxygen cylinder for hospitals fighting against COVID. The material used is layered unidirectional continuous fiber reinforced composite, as schematically shown in Fig.1 (a). In the 0° layer, the fiber is along the Y direction, and the fiber is along X direction in the 90° layer. The thickness of the 90° layer is 1.5 times of that of the 0° layer. The matrix material is an isotropic material with the Young's modulus E-10 GPa and volume fraction Vm-20%, while the continuous fiber is an anisotropic material with the Young's modulus E₁-250 GPa along the length direction, E2-20 GPa along the transverse direction and volume fraction V₁-80% a) Based on rule of mixture and mechanics of material method, calculate the effective Young's modulus along each direction (Ex, Ey, E₂). b) The as-produced (unloaded) inner radius Ro-0.1 m, the wall thickness H=0.005 m (<<Ro, consider as thin-wall cylinder and ignore the end effect), while the oxygen pressure when fully loaded P-20.1 MPa, and the environment pressure P,-0.1 MPa. Calculate the radius increase from unloaded state to fully-loaded state: (i) if the fiber of the 0° layer is along the circumferential direction of the cylinder; (ii) if the fiber of the 90° layer is along the circumferential direction of the cylinder. Z Y 0° 90° 0° 90° X Figure 1
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