Concept explainers
In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a
(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
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Materials Science And Engineering Properties
- 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 of 300 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?arrow_forwardDetermine the maximum moment of inertia of the composite figure shown below, in mm^4.arrow_forwardA bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Taking h= 9 mm and using the data given below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Brass Aluminum 30 mm Modulus of elasticity Allowable stress h 30 mm h Aluminum 70 GPa 100 MPa The largest permissible bending moment is Brass 105 GPa 160 MPa 1.17 kN-m.arrow_forward
- 8. The composite bar 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 P1 = 153 kN and P2 = 80 kN. Steel A = 900 mmA = 2000 mm A = 1200 mm2 E - 200 GPa Aluminum Bronze E - 70 GPa E- 83 GPa 500 mm 250 mm' 350 mmarrow_forwardA 1500 mm long composite bar consists of aluminum and steel as shown. The cross-sectional area of the aluminum bar is twice that of the steel bar. If the assembly is exposed to an axial tensile load of 250 kN, determine the lengths of each of the components if the elongation of the aluminum is the same with that of the steel. The modulus of elasticity of steel E = 200 GPa and for the aluminum is one-third of the steel.arrow_forwardQuestion 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 >arrow_forward
- A continuous aligned fibre-reinforced composite is produced containing 33% aramid fibres of tensile strength 2.35GPA and the remainder of polycarbonate with tensile strength 78 MPa. What is the longitudinal strength of the composite in MPa? [Enter your answer as a real integer number - do not include the unit]arrow_forwardFor the composite bar indicated, determine the permissible bending moment when the bar is bent about a vertical axis. Aluminum stress is 100 MPa, Brass stress is 160 MPa, Eb = 105 GPa, Ea = 70 GPa Brass 6 mm Aluminum 30 mm 6 mm e-30 mm-arrow_forwardA composite beam made of steel and bronze has the cross section shown. The cross-sectional dimensions are b, - 0.9 in, b2 - 2.7 in., and d- 1.8 in. The elastic modulus of the steel is E, - 30,000 ksi, and its allowable bending stress is 17 ksi. The elastic modulus of the bronze is E2 - 15,000 ksi, and its allowable bending stress is 14 ksi. Calculate the allowable bending moment that can be applied about the z centroidal axis. Bronze (2) d Steel (1) b2 Part 1 Your answer has been saved. See score details after the due date. Determine the modular ratio in order to transform the steel into an equivalent amount of bronze. Answer: n- Attempts: 1 of 1 used Part 2 Determine the area moment of inertia of the transformed section about the z-axis. Answer: in.4arrow_forward
- Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning