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Acomposite consists of 65% polyester resin is reinforced by continuous and aligned glass fibers. The modulus elasticity of hardened resin is 4 0 GPa and the modulus elasticity of the ibers la 52.0 GPa. Compute: a. The overall modulus elasticity of composite in the longitudinal direction parallel 04. to fiber direction b. The load carried by each matrix and iber phase, If uniaxial srss of 50 MPa is applied in longitudinal direction on the 250 mm2 cross-sectional area. c. The sustained straln by each matrix and iber in loading condition in part (Q4b). Elastic Behavior-Longitudinal Loading 15 If the length of composite, matrix and fiber is are equal, lc-lm-4, and V = Al, then Elastic behavior of Longitudinal Loading: .Continuous and oriented fibrous composite .Loaded in the direction of fiber alignment Assumption: . Fiber-matrix interfacial bond is very good . Deformation of both matrix and fibers is the same Ac le Veomposite A-1 Ac le Vcomposite VriberV (isostrain) Total load sustained by composite- loads carried by matrix+ loads carried by fibers Dividing by strain ec Em E 0cơm if composite, matrix, and fiber deformations Dividing by total cross-sectional area of the composite, Ac are all elastic, and E = e, then Am is area fraction of matrix, AL is the area fraction of fiber. Ect is longitudinal modulus elasticity Example Problem: Longitudinal Loading 16 loads carried by matrix+ loads carried by fibers As total load sustained by composite and then Acomposite consists of 65% polyester resin is reinforced by continuous and aligned glass fibers. The modulus elasticity of hardened resin is 4 0 GPa and the modulus elasticity of the ibers la 52.0 GPa. Compute: a. The overall modulus elasticity of composite in the longitudinal direction parallel 04. to fiber direction b. The load carried by each matrix and iber phase, If uniaxial srss of 50 MPa is applied in longitudinal direction on the 250 mm2 cross-sectional area. c. The sustained straln by each matrix and iber in loading condition in part (Q4b).
Elastic Behavior-Longitudinal Loading 15 If the length of composite, matrix and fiber is are equal, lc-lm-4, and V = Al, then Elastic behavior of Longitudinal Loading: .Continuous and oriented fibrous composite .Loaded in the direction of fiber alignment Assumption: . Fiber-matrix interfacial bond is very good . Deformation of both matrix and fibers is the same Ac le Veomposite A-1 Ac le Vcomposite VriberV (isostrain) Total load sustained by composite- loads carried by matrix+ loads carried by fibers Dividing by strain ec Em E 0cơm if composite, matrix, and fiber deformations Dividing by total cross-sectional area of the composite, Ac are all elastic, and E = e, then Am is area fraction of matrix, AL is the area fraction of fiber. Ect is longitudinal modulus elasticity Example Problem: Longitudinal Loading 16 loads carried by matrix+ loads carried by fibers As total load sustained by composite and then
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