Given a 3-ply [0/60]s unidirectional aramid/epoxy laminate with a volume fraction of 60%subjected to loads Nx = 100 N/m and Mx = 50 N m/m. Assume each ply has a thickness of 5mm. Use the values calculated from HW #6 to determine the following:a. The three stiffness matrices [A], [B], and [D]b. The midplane strains and curvaturesc. The global and local stresses and strains on the top surface of the 60° ply.d. The in-plane and flexural stiffnesses of the laminatee. Apply Tsai-Hill Failure Criterion for the top surface of the 60° ply.f. Apply the Maximum Strain Failure Criterion for the top surface of the 60° ply.

The key steps in the analysis are:Calculating the laminate stiffness matrices [A], [B], and [D]…

Answered: Given a 3-ply [0/60]s unidirectional…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A structural member 10 cm long must be able to support a load of 50,000 N without experiencing any plastic deformation. Given the following data for brass, steel, aluminum, and titanium, find weight of the lightest alloy in accordance with these criteria. Answer the weight in grams only. Alloy [Brass] [Steel] Ultimate Yield tensile Density strength strength (grams/cm³) (MPa) (MPa) 415 600 860 800 [Aluminum] 310 [Titanium] 550 8.5 700 7.9 435 2.7 4.5
A continuous and aligned fiber-reinforced composite is to be produced consisting of 42 vol% aramid fibers and 58 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Aramid fiber Polycarbonate i Modulus of Elasticity [GPa(psi)] Tensile Strength [MPa (psi)] 131 (19×106) 2.4 (3.5×105) Also, the stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa (6500 psi). For this composite, compute: (a) the longitudinal tensile strength i MPa (b) the longitudinal modulus of elasticity. 3600 (520,000) 65 (9425) GPa
Example 1.3: A cylindrical core having a radius 2.54 102 [m] and length of 0.3 [m], was flooded with brine at a steady rate of 1.100 [m³s¹], the differential pressure across the core was 10 [bar]. Calculate the absolute permeability of the core. Assume brine viscosity 0.001 [Pa.s].
The life (L) of a radially loaded spherical ball bearing can be estimated from equation (2) given below. Experimental testing of the mechanism has detemined that the average radial load that the bearing will be subjected to is F = 8.34 [kN] based on 6 repetitions of the test. If the rated load of the bearing is C = 8.25 [kN] and the life (in number of revolutions) at the rated load is given as LR = 9 x 107 [rev], determine the expected life of the bearing in revolutions [rev] and determine the total uncertainty of that result at 95% probability. Show the units analysis of the resulting uncertainty. 3.33 L = LR (2) F = 8.34 [kN], BĘ = 0.11 [kN], SF = 0.26 [kN], N = 6
An oil preheater consists of a single tube of D=10 mm diameter and L=25 m length. A surface heat flux of q."-exp(-x/25) [W/m²] is applied on the tube. Chemical reactions inside the oil cause volumetric heat generation at the rate of ġ = 1000 [W/m³]. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.025 kg/s, and its hydrodynamic boundary layer has been fully developed. (a) Determine the type of flow (laminar or turbulent) inside the tube. (b) Determine the location where the thermal boundary layer is fully developed. (c) Perform the energy analysis of the fluid, and derive the temperature equation (in terms of dTm and dx) for the oil (Do NOT need to solve it). (d) Calculate the temperature difference between the pipe surface and the oil (Ts-Tm) at the exit of the pipe. "= = KAT can 1 hA Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, = 8.36×102 Nos/m², k = 0.141 W/mK, α = 0.8×10-7 m²/s, and Pr=1206.6.
A freezer with dimensions of 4 m wide, 7 m long and 3 m high is under construction. The walls and ceiling are composed of 1.7 mm stainless steel (k = 15 W / [m ° C]), 10 cm thick foam insulation (k = 0.036 W / [m ° C]), a specific thickness of corkboard (k = 0.043 W / [m ° C]), and 1.27 cm thick wood (k = 0.104 W / [m ° C]). The inside of the freezer is maintained at -35 ° C. The ambient air outside the freezer is 32 ° C. The convective heat transfer coefficient is 5 W / (m K) on wooden walls and 2 W / (m² K) on stainless steel surfaces. If the outside air has a dew point of 29 ° C, calculate the thickness of the corkboard insulation that will prevent moisture condensation on the outer walls of the freezer. Calculate the heat transfer rate through the walls and ceiling of this freezer. Ignore heat transfer from floors and corners of buildings. a. Thickness of corkboard insulation = Answer cm. b. Heat transfer rate through walls and ceiling = Answer watts.
Problem 2. Blocks A and B shown, are at rest, the spring that has a coefficient of elasticity k = 90 N/m, does not present deformation. If the blocks are released, how far will A travel before coming to a stop? The masses of the pulley and the rope are negligible. WA = 20 [N] WB = 100 [N] A B k = 90 [#]
In an aligned and continuous carbon fiber-reinforced nylon 6,6 composite, the fibers are to carry 94 % of a load applied in the longitudinal direction. i Carbon fiber Nylon 6,6 (a) Using the data provided, determine the volume fraction of fibers that will be required. i Modulus of Elasticity [GPa(psi)] 260 (37 ×106) 2.8 (4.0×105) Tensile Strength [MPa(psi)] 4000 (5.8×105) 76 (11,000) (b) What will be the tensile strength of this composite? Assume that the matrix stress at fiber failure is 50 MPa (7250 psi). MPa

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