Calculate the modulus of rigidity (shear modulus) of an epoxy resin if the modulus of elasticity (Young's modulus) E = 3.5 GPa and the Poisson's ratio = 0.35. Select one: a. G = 1.3 GPa O b. G= 10 GPa c. G = 0.1 GPa Od. G = 3.15 GPa Oe. G = 2.6 GPa
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- Determine the maximum moment of inertia of the composite figure shown below, in mm^4.Determine the x-bar centroid of the composite figure shown. Where: x=5 ftShow your solution and round off if possibleA 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.
- Determine the total area of the composite figur e . (mm^2)Determine the x coordinate of the centroid of composite figure. (mm)Determine the y coordinate of the centroid of composite figure. (mm)IV- It is necessary to design a continuous and aligned glass fiber-reinforced polyester having a tensile strength of at least 1400 MPa in the longitudinal direction. The maximum possible specific gravity is 1.65. Using the following data, determine whether such a composite is possible. Justify. Assume a value of 15 MPa for the stress on the matrix when the fibers fail. Material Glass fiber Polyester Specific gravity 2.5 1.35 Tensile strength (MPa) 3500 50A beam is made of four planks glued together. Knowing that the vertical shear in the beam is V = 500 N, determine the minimum required shear strength Tg for the glue. 50 mm 50 mm 50 mm V D B 150 mm 50 mm 150 mm 50 mm
- The load-strain data obtained in a tension test of a unidirectional carbon fiber/epoxy composite are given below. The specimen dimensions are length=254 mm, width=12.7 mm and thickness is 1.4 mm. Determine the tensile modulus and Poisson ration for each fiber orientation Axial strain Load (N) Transverse strain % 自 % 0° 45° 90° 0° 45° 90° 0.05 2130 130 67 -0.012 -0.113 -0.0004 0.10 4270 255 134 -0.027 -0.021 -0.001 0.15 6400 360 204 -0.041 -0.029 -0.0014 0.20 8620 485 333 -0.054 -0.038 -0.0019 0.25 565 396 -0.048 -0.0025A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Take x = 32 mm. Modalus of elasticity Allowable stress Aluminum Brass Aluminum 70 GPa 100 MPa 10 mm 10 mm Brass 105 GPa 160 MPa 10 mm mm 10 mm The largest permissible bending moment when the composite bar is bent about a horizontal axis is [ kN-m.Determine the y-bar centroid of the composite figure shown. Where: y = 20mm and x = 10 mm
- 1. Given are Plane Composite Geometric Figure and their basic dimensions. Solve for the following: • Fotat Area A • entroid about the xaxis • Eenroid about the y - axİs • Moment of Inertia About the x - axis Ix • Moment of Inertial About the y - axis ly • Polar moment of Inertia about the axes Jo • Moment of Inertia About the centroidal x - axis Ix Moment of Inertial About the centroidal y – axis Iy • Polar moment of Inertia about the centroidal axes JoThe composite bar is stress-free before the axial loads P, and P, are applied. Assuming that the walls are rigid, calculate the stress (MPa) in each material if P1 = 150 kN and P2 = 90 kN Aluminum A = 900 mm A = 2000 mm A = 1200 mm? E = 70 GPa | E= 200 GPa Steel Bronze E = 83 GPa P1 500 mm 250 mm' 350 mmDetermine the moment of inertia (in mm4) Īy of the area shown with respect to the vertical line that passes to the centroid of the composite area. Express answer as a whole number.