9.2 (A). Determine the change in volume of a thin cylinder of original volume 65.5 x 10-'m' and length 1.3 m if its wall thickness is 6 mm and the internal pressure 14 bar (1.4 MN/m). For the cylinder material E = 210 GN/m2; v- 0.3. [17.5 x 10-m'j

9.2 (A). Determine the change in volume of a thin cylinder of original volume 65.5 x 10-'m' and length 1.3 m if its wall thickness is 6 mm and the internal pressure 14 bar (1.4 MN/m). For the cylinder material E = 210 GN/m2; v- 0.3. [17.5 x 10-m'j

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

See similar textbooks

Similar questions

A steel [E = 25500 ksi] pipe column (1) with a cross-sectional area of A1 = 5.60 in.2 is connected at flange 8 to an aluminum alloy [E = 17500 ksi] pipe (2) with a cross-sectional area of A2 = 4.40 in.2. The assembly is connected to rigid supports at A and C. For the loading shown, determine the normal force in the steel pipe (1). A (1) 120 in. B 30 kips 30 kips 144 in. C
Pressure vessels are very common in many industries. The purpose of this exercise is to examine how stresses evolve within the walls of a pressure vessel as a function of position within the wall and wall thickness. Recall the thick-walled cylinder solution developed in class. Re-write the solution to the case of a thick-walled cylinder with inner radius a, outer radius b, internal pressure p₁, and external pressure, p2. Orr = 000 = + a²p₁-b²p2 (P2₂ - P₁)a²b² 1 (b²-a²) (6²-a²) ²¹ a²p₁b²p2 (b²-a²) 1 axis (P2 - P₁)a²b² 1 (b²-a²) r² (a) Draw a diagram showing the evolution of orr and σ00 from a to b when a/b=0.5 and P2 = 0. (b) Make the assumption that p₂ = 0, a + b ≈ 2r, ba≈t, and a b≈r to derive the expression for orr and one for a thin-walled pressure vessel. For a sanity check, your solution should be arr 0 and σ00 = pir/t. = (c) Now consider the classical strength of materials approach to pressure vessels. Imagine the pressure vessel shown in Fig. 2 (note, the radius of the…
Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video. An airplane has a half-wingspan of 31 m. Determine the change in length of the aluminum alloy [a = 24.0 × 10-6/°C] wing spar if the plane leaves the ground at a temperature of 17°C and climbs to an altitude where the temperature is -51°C. Answer: 6 = i mm
Q1: 30-mm-diameter steel bar is to be used as a torsion spring. If the torsional stress in the bar is not to exceed 110 MPa when one end is twisted through an angle of 30°, what must be the length of the bar in m? modulus of rigidity=80 GPa . (close to two decimal)
A silicon carbide ball with 5 mm in diameter has volume based CLTE (a,) of 8.1 x106/°C. If the ball is heated from 100 to 1750°F, calculate the increase in diameter. Convert first the temperature to °C. Note: (AV/V) = (V-V.)/Vo= av AT
[Ans. 1.2 MPa] PROBLEM 7.99 16 A spherical gas container made of steel has a diameter of 5.4 m and a wall thickness of 10 mm. Knowing that the internal pressure is 400 kPa, determine the membrane stress in the container. [Ans. 53.8 MPa] 17
Q1 ]: Two solid rods (1) and (2) of the same material are joined together at flange B and loaded as shown in Fig. Q1. If the normal stress in each rod must be limited to 275 MN/m². (a) find the minimum diameter required for each rod. (b) if the L₁ = 115 mm and L₂ = 105 mm, compute the total deformation of the rod, the modulus of elasticity E = 60 GN/m². Fig. Q1 Stepped Bar 130 kN 65 kN A -d₁ 130 kN B C -d₂
A roadway sign that weighs Py = 14 kN is supported by a structural pipe with an outside diameter of 340 mm and a wall thickness of 10.5 mm. Wind pressure on the sign creates a resultant force of P₂ = 21 kN, acting as shown. Using length dimensions of a = 5.4 m and b = 6.3 m, determine (a) the normal and shear stresses at point H. (b) the normal and shear stresses at point K. P₂ Py b H y K
Consider a circular plate that has a uniform pressure along the top surface and a fixed support on the edge around the perimeter, as shown. What would be the most efficient model to use to analyze the stress in the plate? O 3D model O Shell model O Plane stress model O Axisymmetric model TTTTT 7777
As figure show are depicts the cross-section of a closed-end cylinder with an internal diameter of 0.2 m and an exterior diameter of 0.4 m with a thick-walled pressure vessel (closed-end cylinder) with an internal diameter of 0.2 m and an external diameter of 0.4 m. Both internal and external pressures, Pi and P, are applied to the pressure vessel. Find the following given P. = 10 MPa:a). The internal pressure Pi, which will result in a 150 MPa tensile hoop stress at point B, which is in the middle of the cylinder wall.b). Draw all of the stress distributions over the wall thickness and their stress values on the cylinder's inner and outer surfaces.c). The longitudinal tension that the cylinder is subjected to.
2.1Apower transmission cable consists of ten copper wires each of 1.6 mm diameter surrounding three steel wires each of 3 mm diameter. Determine the combined E for the compound cable and hence determine the extension of a 30 m length of the cable when it is being laid with a tension of 2kN. For steel, E = 200GN/m2; forcopper, E = 100GN/m2. [151.3 GN/m2; 9.6 mm]
A 200 kN В 30 kN D Soil Surface 1 mm settlement An axially loaded column made up of different segments AB, BC, and CD has a fixed support at A and a footing at D. The footing at D is rigid but is supported by soil that settles (moves downward) a maximum of 1mm before offering any resistance. Determine the stresses in segments AB, BC, and CD. Note, neglect the weights of the members.