Consider the figure shown below. Determine the total elongation of the composite body carrying a tensile load of 5 kN. Assume Y1 = 10 %3D MPa and Y2 = 15 MPa. %3D L1-4m D1-300mm L2=6m D2=200mm
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- In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?Note For Problems 9.6-1 through 9.6-5, use the lower-bound moment of inertia for deflection of the composite section. Compute this as illustrated in Example 9.7. 9.6-2 Compute the following deflections for the beam in Problem 9.2-2. a. Maximum deflection before the concrete has cured. b. Maximum total deflection after composite behavior has been attained.The composite A-36 steel bar shown is made from two segments, AB and BD, having cross-sectional areas of AB = 641 mm2 and BD = 1202 mm2 . Determine the vertical displacement (in mm) of end A. Modulus of Elasticity = 210 GPa. X = 1016 mm, Y = 790 mm, Z = 526 mm. Input the magnitude only. The answer is 0.58185. Show solution pls. Thank you.
- The figure shows a composite bar, it is stress free before the axial loads P1 and P2 are applied. Assuming that the walls are rigid, calculate the stress in each material if p_{1} = 120 kN and P2 - 80 kN.Q2 For the composite beam shown, find the moment of resistance of the beam when the maximum bending stress in the timber s (14 MPa). For steel (E = 200 GPa) and for wood (E = 10Gpa) 2 A 7 7 r*A composite bar BCD has a uniform external radius Ro = 9 cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius Ri = 1cm bonded inside a steel sleeve. The lengths of the two segments are LBC = 2 m and LCD = 1 m. The material moduli are Esteel = 200 GPa and Ecopper = 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD = 1000 kN) and at section C (FC = 400 kN). Compute the following: Total elongation of the assembly in mm.
- The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC, and CD are AAB = 0.08 in², ABC = 0.11 in², and Acp = 0.06 in², respectively. The modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C.A composite bar BCD has a uniform external radius Ro = (8+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius Ri = 1cm bonded inside a steel sleeve. The lengths of the two segments are LBC = 2 m and LCD = 1 m. The material moduli are Esteel = 200 GPa and Ecopper = 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD = 1000 kN) and at section C (FC = 400 kN). Compute the following: a.) Axial stress of steel in segment BC in MPa. b.) Axial stress of steel in segment CD in MPa. c.) Axial stress of copper in segment CD in MPa. d.) Total elongation of the assembly in mm.Determine the maximum moment of inertia of the composite figure shown below, in mm^4.
- An HSS9 x 7 x3⁄8 filled with concrete is used as a composite column, as shown in Figure. The steel has a yield stress of Fy = 46 ksi, and the concrete has a compressive strength of f ,c =4 ksi. Compute the nominal strength of the column.A composite beam is made of two brass (E =110GPa) to two aluminum bars (E = 70GPa), as shown. The beam is subjected to a bending moment of 380 N-m acting about the z-axis. Using a = 5mm, b = 40mm, c = 10mm, and d = 25mm. Calculate: a) the maximum bending stress in the aluminum bars b) the maximum bending stress in the brass barsThe trimetallic composite section in Figure 4 is compressed by an axial load P = 12 kN applied through a rigid plate. The section consists of a circular steel core surrounded by 2 brass and copper shells. The steel core has a diameter of 10mm, the brass shell has an external diameter of 15mm, and the copper shell has an external diameter of 20mm. The corresponding modulus of elasticity are Ea = 210 GPa, El = 100 GPa and Ec = 120 GPa.(a) Calculate the compressive stress σa, σl, and σc, in the steel, brass, and copper, respectively, that produces the force P.