The first parts of the stress-strain relationships of the components of a randomly oriented composite are shown in Figure P11.25. Estimate the volume percentage of fibers in the composite assuming a fiber efficiency parameter (K) of 0.2. MPa) 1400 1200- 1000-

Question 2 Calculate the bending stress at the bottom edge of the following composite beam subject to a bending moment of M= 1500 Nm. The lower section is made from steel (E = 200 GPa) and the upper section is made from aluminium (E = 70 GPa). All dimensions are in mm. 100 YA 100 Z 10 >

ASAP

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.

The composite shaft shown consists of a solid brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has a diameter of 18 mm, a length of L₁ 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L₂ = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to flange B, determine (a) the maximum shear stress magnitudes in segments (1) and (2). (b) the rotation angle of flange B relative to support A. N 235 mm (1) B 165 mm Partial Ans: Max shear stress in Member 1 is 55.7 MPa 270 N-m (2)

= 12 mm. The The following figure depicts an aluminum I beam of height h = 0.25 m, width b = 0.2 m, flange thickness ta = 16 mm, and web thickness tw beam is reinforced by two layers of unidirectional composite material of thickness to = 5 mm. The section is subjected to an axial force N₁ = 500 kN. The Young's moduli for the aluminum and unidirectional composite are Ea 73 GPa and Ec 140 GPa, respectively. = (a) Compute the axial stiffness for this structure. (b) Compute the maximum axial stress in both the aluminum and composite layers. CS Scanned with CamScanner 1₁ I h t₂ I b po

A composite beam made of steel and bronze has the cross section shown. The cross-sectional dimensions are b1 = 0.5 in, b2 = 1.5 in., and d = 1.0 in. The elastic modulus of the steel is E1 = 30,000 ksi, and its allowable bending stress is 24 ksi. The elastic modulus of the bronze is E, = 15,000 ksi, and its allowable bending stress is 16 ksi. Calculate the magnitude of the allowable bending moment that can be applied about the z centroidal axis. y Bronze (2) Steel (1) bị b2 Answer: M = i Ib-in. Save for Later Attempts: 0 of 1 used Submit Answer

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

Calculate the modulus of elasticity of fiberglass under isostrain condition if the fiberglass consists of 70% E-glass fibers and 30% epoxy by volume. Also, calculate the percentage of load carried by the glass fibers. The moduli of elasticity of the glass fibers and the epoxy are 70.5 and 6.9 GPa, respectively. If a longitudinal stress of 60 MPa is applied on the composite with a cross-sectional area ofm300 mm2, what is the load carried by each of the fiber and the matrix phases? What is the strain sustained by each of the fiber and the matrix phases?

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