CEE 300 HW 34

Can someone assist me please? Thanks.

Please solve accurate and exact answers sir please!! (it must be typed not handwritten)  Thanks!!

solve 30-40 minutes hand written asap..i'll rate

Solve 30-40 minutes hand written asap..i'll rate

Give an approximate value for the tensile strength of a Boron/Aluminum composite with Vf = 0.4. Aluminum 2024 has E = 71 GPa, Poisson = 0.334, yield strength Sy = 76 MPa, strain-to-failure Ey = 22%. Boron fibers have E = 400 GPa, strength = 3.4 GPa, Poisson = 0.25. a. Compute F1t, assuming the Aluminum matrix remains elastic up to failure. If the value found is larger than Sy, the matrix yields, thus invalidating the assumption. b. Recompute using O1 = VfOf + (1 - Vf)Om c. Check that the strain-to-failure is not exceeded.

Answer whats in the image, please and thank you

A large-particle composite consisting of tungsten particles within a copper matrix is to be prepared. If the volume fractions of tungsten and copper are 0.70 and 0.30, respectively, a) Compute the modulus of elasticity of this composite in the longitudinal direction. (The upper limit) and the modulus of elasticity in the transverse direction. (The lower limit), given the data that follow. Modulus of Elasticity (GPa) Copper 110 Tungsten 407 b) If the cross-sectional area is 280 mm2 and a stress of 60 MPa is applied in this longitudinal direction, compute the magnitude of the load carried by each of the fiber (tungsten) and matrix (copper) phases.

(B) Composite consists of polyester as a matrix reinforced by glass fiber. If the composite have cross- sectional area is (250 mm') and stress of (50 MPa) is applied in this longitudinal direction. 1-Compute the weight fraction of fibers and matrix. 2-Compute the magnitude of the load carried by each of fiber and matrix phase. Note:- Modulus of Elasticity (GPa) Material Density (g/cm³) Polyester 1.38 3.4 Glass Fiber 2.58 69 Composite 2.1

01: Consider a unidirectionally reinforced glass fiber/epoxy composite. The fibers are continuous and 60% by volume. The tensile strength of glass fibers is 1 GPa and the Young's modulus is 70 GPa. The tensile strength of the epoxy matrix is 60 MPa and its Young's modulus is 3 GP i. Compute the Young's modulus of the composite in the longitudinal and transverse directions. ii. Compute the tensile strength of the composite in the longitudinal direction. iii. Plot the longitudinal Young's modulus and the transverse Young's modulus diagram of the composite.

Question 1 A composite material consists of 40% parallel carbon fibres with a Young’s modulus of 405 GPa in a matrix of epoxy resin with a Young’s modulus of 2.5 GPa. Calculate the Young’s modulus of the composite in the parallel and in the perpendicular directions of the fibres. Use the graphical method seen in class to show the possible value of the overall young modulus of your composite material.

Consider a graphite-reinforced polymer composite lamina. Plot the graph of each elastic constant (E1, V12, E2, and G₁2) versus the fiber volume fraction V. Use all values of V, ranging from 0 to 1 (in increments of 0.1). Assume the following material properties for the matrix and fibers. Em 4.62 GPa, E{ = 233 GPa, E = 23.1 GPa, G₁₂ = = 8.96 GPa = vm = 0.360 v2 = 0.200 123 = 0.400 G₁3 = 8.27 GPa

Problem 4 Calculate the tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-plastic composite material that contains 64 percent by volume of carbon fibers and is stressed under isostrain conditions. The carbon fibers have a tensile modulus of elasticity of 54.0 × 10° psi and the epoxy matrix a tensile modulus of elasticity of 0.530 x 10° psi.

For continuous and aligned fibre composites, prove that the Young's modulus of the composites along the longitudinal and transverse directions can be described using the EmEf equations: Ect= EmVm + EƒVƒ and Ect =VmEf+VjEm respectively.

A continuous and aligned fiber-reinforced composite is to be produced consisting of 30% vol aramid fibers and 70% vol of a polycarbonate matrix. Mechanical characteristics from the test are given below. The composite is characterized by mechanical testing in both longitudinal and transverse loading. Calculate the elastic modulus of each component. Modulus of Elasticity (GPa) Aramid fibers 121.68 Polycarbonate 3.42

(b) A continuous and aligned fiber-reinforced composite is to be produced using 45 vol% of aramid fibers and 55 vol% of polycarbonate matrix. Mechanical properties of these two materials that are given in Table Q5(b): Table Q5(b): Mechanical properties of fiber and matrix Modulus of Elasticity (GPa) Tensile Strength (MPa) Aramid Fiber 131 3600 Polycarbonate 2.4 65 If the stress on the polycarbonate matrix is 35 MPa, when the aramid fibers fail, then compute the followings: (i) the longitudinal tensile strength (ii) the longitudinal modulus of elasticity

3. The geometry of the reinforcing phase in a composite greatly determines the overall properties. Polycarbonate has a Modulus of Elasticity=2.2 GPa, Tensile Strength-62.5 MPa. Carbon Fiber has a Modulus of Elasticity=228 GPa, Tensile Strength=3.5 GPa. For a 40 vol% carbon fiber and a 60 vol% polycarbonate matrix composite, compute the Tensile Strength and Young's Modulus for the composite for the following situations. Assume longitudinal loading. a. Continuous and aligned fibers b. Discontinuous and aligned fibers with I> le where 1 = 101, (K = 1). c. Discontinuous and aligned fibers with I< le where I= 0.51, (K = 1). d. Which of these composites is the strongest? Which is the stiffest (has the highest Young's Modulus)?

Consider a graphite-reinforced polymer composite lamina. Use the simple rule-of-mixtures formulas to calculate the values of the four elastic constants E1, V12, E2, and G12 for the lamina. Use V₁= 0.6. Assume the following material properties for the matrix and fibers. Em 4.62 GPa, E = 233 GPa, E = 23.1 GPa, G₁₂ = 8.96 GPa m = 0.360 2 = 0.200 3 = 0.400 G3 = 8.27 GPa

can you help me answer this question and explain the steps you took to get to the answer i  am stuck between B and D as the answer

Question 2: A GFRP product is made from: 7.0 mm long by 0.002 mm diameter aligned fibres with Ef​ =72.5GPa and a tensile strength of 3.5GPa, and a matrix material with Em​=1.6GPa and a tensile strength of 41.4MPa. The stress in the matrix at the fibre fracture strain is 20MPa. a) If the shear strength of the fibre-matrix bond is τc​=10MPa then determine the longitudinal composite strength (σ∗) when the GFRP is made with ϕf​=0.4. b) Determine the stiffness of this GFRP product in the longitudinal and transverse directions. c) If it were possible to modify the design of this GFRP product, determine the volume fraction of fibre that would be needed to achieve a strength (σ∗) of 2000MPa

Kindly solve it completely by hand if possible.

None

A component of a composite rocket motor ease is subject to a state of stress o_x = 10 MPa, o_y = 5 MPa, o_xy = 2.5 MPa. Use the material data for Carbon/Epoxy (AS4-3501-6) in Table 1.3. Using "principal stress design", compute: a. The optimum fiber orientation.

The compressive strength of aramid fiber is about one-eighth of its tensile stress. Estimate the smallest diameter of a rod on which the aramid fiber can be wound without causing kinks, etc., on its compression side.