A discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPA and the critical fibre length 2.5mm. The fibre modulus is 250GPA and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. If the ultimate fibre strength = 3500MPa, calculate the average failure stress in the composite.

A discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPA and the critical fibre length 2.5mm. The fibre modulus is 250GPA and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. If the ultimate fibre strength = 3500MPa, calculate the average failure stress in the composite.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are 19.7 and 3.66 GPa (2.8x10 and 5.3x 105 psi), respectively. If the volume fraction of fibers is 0.42, determine the moduli of elasticity of fiber and matrix phases. Em- E₁= i GPa GPa
A continuous aligned fibre-reinforced composite is produced containing 28% aramid fibres of tensile strength 2.82GPA and the remainder of polycarbonate with tensile strength 60 MPa. What is the longitudinal strength of the composite in MPa? [Enter your answer as a real integer number - do not include the unit]
A composite bar consists of aluminum and steel is held by rigid supports as shown. At 57°C, an axial load of 220 kN is applied to the assembly. Determine the stresses in each of the component when the temperature is raised to 112°C. Based on laboratory results for steel, E = 210 GN/m?, a = 24x106/C, and for aluminum, E = 70 GN/m?, a = 11.8x10- 6/°C. STEEL Ø = 15cm? ALUMINUM Ø= 1Ocm? 220 kN -100 mm 150 mm Activa Go to S
A composite sample of carbon reinforced epoxy has dimensions of in 20 in x 20 in x 0.135 in and mass of 3 lb. The carbon fibres have a modulus of elasticity of 80(106) lb/in2 and a density of 0.15 lb/in3. The epoxy matrix has modulus of elasticity of 0.90(106) lb/in2 and a density of 0.05 lb/in3. Assume there are no voids in the sample, calculate the volume fraction of: (i) The carbon fibres (ii) The epoxy matrix in the sample.
A composite primary steel beam with a span of 8m supports a secondary beam at midspan, which applies an characteristic (unfactored) load of 239kN to the primary beam. What elastic modulus (in cm³) does the beam require to be able to carry the load if the allowable stress due to the characteristic loads is 210N/mm2? It may be assumed that the elastic modulus required for the composite beam is 63% of that required for the equivalent non-composite beam.
A continuous and aligned glass fibre-reinforced composite consisting of 40 vol% of glass fibres having a modulus of elasticity of 69 GPa and 60 vol% of a polyester resin that, when hardened, displays a modulus of 3.4 GPa. Compute the elastic modulus of the composite material in the longitudinal direction. Compute the elastic modulus of the composite material perpendicular to the direction of fibre alignment
An open rectangular tank measuring 5 m long, 1.7 m wide, and 2 m high is filled to a depth of 1.6 m with water. The tank is attached to a truck that is traveling horizontally at 9.81. How much water (m³) is left if the track is traveling horizontally at 9.81
A fiber-reinforced polymer composite under isostrain condition consists of 35% fibers and 45% polymer by volume. The moduli of elasticity of the fibers and the polymer are 260 GPa and 3.4 GPa, respectively, and the Poisson’s ratios of the fibers and the polymer are 0.25 and 0.41, respectively. Calculate the following:a. modulus of elasticity of the composite.b. percentage of load carried by the fibersc. Poisson’s ratio of the composite
The tensile curves on the right correspond to an A356 alloy1 (unreinforced) and to the same alloy reinforced with Al3Ti particles. Please, provide the following information for the reinforced composite: Young’s modulus in GPa. UTS (MPa) The approximate proof stress 0.2 (MPa) Ductility  (%) Toughness (MJ/m3) True stress (MPa) at the fracture point.