A [+45], glass fiber/epoxy matrix laminate (V-0.45) and thickness of each ply is 0.5mm, find it's...
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A [+45], glass fiber/epoxy matrix laminate (V-0.45) and thickness of each ply is 0.5mm, find it's stiffness matrix of [A], [B] and [D]. 4-2 The laminate in 4-1 is subjected to a load of N N = 250N/mm. Find the local strain and stress in each lamina. = 4-3 Find the in-plane and flexural effective elastic moduli of the laminate in 4-1. Table 2.1 Typical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass/ Boron/ epoxy epoxy Property Fiber volume fraction Longitudinal elastic modulus Transverse elastic modulus Major Poisson's ratio Shear modulus Ultimate longitudinal tensile strength Ultimate longitudinal compressive strength Ultimate transverse tensile strength Ultimate transverse compressive strength Ultimate in-plane shear strength Longitudinal coefficient of ermal expansion Transverse coefficient of thermal expansion Longitudinal coefficient of moisture expansion Transverse coefficient of moisture expansion Symbol Vf E E V12 G2 (6)ult (oP)uk (0)ult (0) wit (12) air 0 B Units GPa GPa - GPa MPa MPa MPa MPa MPa m/m/"C m/m/*C m/m/kg/kg m/m/kg/kg 0.45 38.6 8.27 0.26 4.14 1062 610 31 118 72 8.6 22.1 0.00 0.60 0.50 204 18.50 0.23 5.59 1260 2500 61 202 67 6.1 30.3 0.00 0.60 Graphite/ epoxy 0.70 181 10.30 0.28 7.17 1500 1500 40 246 68 0.02 22.5 0.00 0.60 In-plane effective elastic moduli of a laminate 1 h4 3/4 effective in-plane extensional modulus in X-direction; E E hA* 2 3/4 effective in-plane extensional modulus in Y-direction; Cin xV V in yx - E 1 hA* 3/4 effective in-plane shear modulus; == A* 12 A* 3/4 effective in-plane major Poisson's ratio; V Poisson's ratio; with in xy A* 22 in E 3/4 effective in-plane minor Flexural effective elastic moduli of a laminate E! E G JX with 12 h'D* 3/4 effective flexural modulus in X-direction; 12 hD* 3/4 effective flexural modulus in Y-direction; 12 hD* *66 3/4 effective flexural shear modulus; D* 12 D*1 3/4 effective flexural major Poisson's ratio; 11 D*12 D* 2 3/4 effective flexural minor Poisson's ratio; E E A [+45], glass fiber/epoxy matrix laminate (V-0.45) and thickness of each ply is 0.5mm, find it's stiffness matrix of [A], [B] and [D]. 4-2 The laminate in 4-1 is subjected to a load of N N = 250N/mm. Find the local strain and stress in each lamina. = 4-3 Find the in-plane and flexural effective elastic moduli of the laminate in 4-1. Table 2.1 Typical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass/ Boron/ epoxy epoxy Property Fiber volume fraction Longitudinal elastic modulus Transverse elastic modulus Major Poisson's ratio Shear modulus Ultimate longitudinal tensile strength Ultimate longitudinal compressive strength Ultimate transverse tensile strength Ultimate transverse compressive strength Ultimate in-plane shear strength Longitudinal coefficient of ermal expansion Transverse coefficient of thermal expansion Longitudinal coefficient of moisture expansion Transverse coefficient of moisture expansion Symbol Vf E E V12 G2 (6)ult (oP)uk (0)ult (0) wit (12) air 0 B Units GPa GPa - GPa MPa MPa MPa MPa MPa m/m/"C m/m/*C m/m/kg/kg m/m/kg/kg 0.45 38.6 8.27 0.26 4.14 1062 610 31 118 72 8.6 22.1 0.00 0.60 0.50 204 18.50 0.23 5.59 1260 2500 61 202 67 6.1 30.3 0.00 0.60 Graphite/ epoxy 0.70 181 10.30 0.28 7.17 1500 1500 40 246 68 0.02 22.5 0.00 0.60 In-plane effective elastic moduli of a laminate 1 h4 3/4 effective in-plane extensional modulus in X-direction; E E hA* 2 3/4 effective in-plane extensional modulus in Y-direction; Cin xV V in yx - E 1 hA* 3/4 effective in-plane shear modulus; == A* 12 A* 3/4 effective in-plane major Poisson's ratio; V Poisson's ratio; with in xy A* 22 in E 3/4 effective in-plane minor Flexural effective elastic moduli of a laminate E! E G JX with 12 h'D* 3/4 effective flexural modulus in X-direction; 12 hD* 3/4 effective flexural modulus in Y-direction; 12 hD* *66 3/4 effective flexural shear modulus; D* 12 D*1 3/4 effective flexural major Poisson's ratio; 11 D*12 D* 2 3/4 effective flexural minor Poisson's ratio; E E
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