A continuous and aligned carbon-fiber composite consists of 25 vol. % of fibers in an epoxy matrix. The Young’s modulus of fiber and matrix, respectively are 𝐸𝑓 = 250 GPa and 𝐸𝑚 = 2.5 GPa.
If the composite is subjected to longitudinal loading (iso-strain condition and assuming elastic response), the fraction of load borne by the reinforcement is (to two decimal places).
Ec = VfEf + VmEm Stress of fiber = VfEf × strain = 0.25×250×strain Stress of matrix = VfEm × strain = 0.75×2.5× strain Fraction of load by reinforcement = (stress of fiber)/ (stress of fiber + stress of matrix) = (0.25×250×strain)/(0.25×250×strain + 0.75×2.5× strain) = 0.97
Ec = VfEf + VmEm
See lessStress of fiber = VfEf × strain = 0.25×250×strain
Stress of matrix = VfEm × strain = 0.75×2.5× strain
Fraction of load by reinforcement = (stress of fiber)/ (stress of fiber + stress of matrix) = (0.25×250×strain)/(0.25×250×strain + 0.75×2.5× strain) = 0.97
See lessCorrect answer is 0.97. @Digbijaya igit described it best. Thank you.
Correct answer is 0.97. digbijaya igit igit described it best. Thank you.
See lessCorrect answer is 0.97
Correct answer is 0.97
See less