hand written Example: A long uniform cylinder (d <) with internal/external uniformpressure. Several points are important here to be carefully considered.(i) exploitation of symmetricity of the cross-section about the z-axis, but whatshould the included angle 8 be? (smaller the better but how small?)(ii) should the discretization be only in the x-direction as shown or should it bealong both x- and y-direction?(iii) what should the thickness of the model be? (unit thickness?)(iv) the two straight edges of the discretised geometry are not parallel to theglobal axes system. So how should the boundary conditions be specified onthe oblique edges?Yda lXbncoblique edge-oblique edgebnc

Step 1:Certainly! Let's break down each point for a clearer explanation:(i) **Exploitation of…

Answered: Example: A long uniform cylinder (d <)…

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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For the composite object below (figure not to scale), the top triangle is made of titanium (density ~4540 kg/m³), the middle rectangle is made of stainless steel (density ~7700 kg/m³), and the bottom half-circle is made of tungsten (density ~19450 kg/m³). The object has a thickness of 5 mm, and the semiminor axis of the elliptical hole is 30 mm. (a) Find the center of gravity of the object. (b) Find the mass moment of inertia about an axis perpendicular to the page and passing through the center of gravity. 150 mm 150 mm" 500 mm 50 mm 200 mm 200 mm 75 mm 150 mm
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Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diameter is doubled then the maximum shear stress developed corresponding to the same torque will be: [GATE-2003] (a) 120 MPa (d) 15 MPa (b) 60 MPa (c) 30 MPa
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Problem 3: One hollow cylinder is shrink-fitted inside another. Both cylinders have length L and both the flat faces of each cylinder are constrained in the axial direction. They are free to move in radial and tangential directions. Both cylinders are made of the same material steel. New steel material will be created. Cylinder Inner Cylinder FIGURE 1 SHRINK FIT ASSEMBLY Outside Cylinder Steel: E = 30 x 106 psi Inside Radius r;=4" R₁=6" FIGURE 2 EXPLODED VIEW OF SHRINK FIT ASSEMBLY Outside Radius r=6.005" R₂=8" Length L = 5" L = 5" An internal pressure P = 30,000 psi is applied on the inner surface of the inner cylinder. What to Submit: 1. Find the tangential stress distribution at the outside surface of the outer cylinder (r = 8"). 2. Find the tangential stress distribution at the inner surface of the inner cylinder (r = 4") 3. Find the contact pressure developed at the interference location.
5. A hollow cylinder has length 50.0 cm, internal diameter 5.0 cm and external diameter 6.0 cm. A force of magnitude 1.0 kN acts at each end of cylinder so that the cylinder is being compressed. Determine the compression of cylinder. (Ynollow cylinder = 7 x1010 Nm-2) [8.27 x10-6 m] 6. The water in a marine aquarium is 5 m deen.
Calculate A, Īx , and Īy for the region.
Answer the folowing with True or False. Density of a foam material depends on the wall thickness and size of its foam cells. ( ) BCC structure is more densely packed than the FCC structure. ( ) The anion – cation size ratio has an important influence in determining the crystal structure of ionic solids. ( ) CFRP and GFRP are examples of hybrid materials. ( ) The density of a material is determined exclusively by its atomic weight. ( ) Body diagonal in BCC structure has Miller indices of [111]. ( ) The relationship s = Ee is known the Ohms law. ( ) A closed packed triangular plane in FCC crystal has Miller indices of (111). ( )
A very thick structure is subjected to certain traction boundary conditions on its surface. The cross-section and the applied load do not vary with the z-coordinate. The following stress function is proposed for this problem: -y p(x,y) = Sin (x) (A x²e + B e") (i) use the biharmonic equation to find restrictions, if any, on values of A and B (ii) calculate all stress components (iii) calculate all strain components in terms of A, B, and C as well as the Young modulus and Poisson's ratio E and y, respectively. (iv) check that the equilibrium equations are satisfied (v) determine the traction boundary conditions at x =± a and y=+b
In the mechanism shown in Fig. 3.9(a), the crank OA rotates at 2110 rpm clockwise. For the given configuration, determine the acceleration of the slider D and Example 3.4 angular acceleration of the link CD.
Answer 3-19Please include solution and brief reflection.
The stresses at the bottom surface of a fuel tank [part (a) of the figure] are ax 50 MPa, ay 8 MPa, and zxy 6.5 MPa [bart (b) of the figure]. A 195-T6 aluminum casting shows Sut=36 kpsi, Suc=35 kpsi. For the given plane stress state, a) use Mohr-Coulomb theory and determine the factor of safety. (a) Į 8 MPa Ţ 6.5 MPa 50 MPa

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