Engineer firms in many situations must verify the reliability of existing purchased designs. Your role as a quality engineer at an oil refinery is to confirm the maximum stresses imposed by a 1.03 MPa propane pressure inside the 20-lb design cylinder shown in Figure.3(a), at 25°C, which acts as a pressurized cylinder once the gate valve is closed. Ifthe cylinder is made of 2.5-mm-thick steel and can be approximated as shown in Figure.3(c). Evaluate the maximum longitudinal and hoop stresses. 308 mm OL H 447 mm B (b)

Engineer firms in many situations must verify the reliability of existing purchased designs. Your role as a quality engineer at an oil refinery is to confirm the maximum stresses imposed by a 1.03 MPa propane pressure inside the 20-lb design cylinder shown in Figure.3(a), at 25°C, which acts as a pressurized cylinder once the gate valve is closed. Ifthe cylinder is made of 2.5-mm-thick steel and can be approximated as shown in Figure.3(c). Evaluate the maximum longitudinal and hoop stresses. 308 mm OL H 447 mm B (b)

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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ante y se IN.. is). 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 σαθ a²p₁b²p2 (6² - a²) a²p₁-b²p2 (6²-a²) axis + 1 (a) Draw a diagram showing the evolution of orr and σ00 from a to b when a/b=0.5 and P2 = 0. (P2 - P₁)a²6² 1 (6²-a²) 2¹ (P2 - P₁)a²6² 1 (b²-a²) 2 (b) Make the assumption that p2 = 0, a + b 2r, bat, and abr to derive the expression for rr and 000 for a thin-walled pressure vessel. For a sanity check, your solution should be orr = 0 and 000 = pir/t. 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…
A steel (E=210 GPa, v=0.32) cylindrical vessel has a diameter R= 25 cm, thickness t=0.2 cm and length L=100 cm. What is the increase in the length of this vessel if it is subject to PR PR. an internal pressure P kPa (unit in kPa)? (Remember: o, =
A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gage pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is
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…
a cylindrical pressure vesssel( diameter =2.8m and wall thickness of 35mm) is made of steel. the maximum pressure inside the tank is 2.0Mpa. Based on the tresca( maximum shear stress criterion) what is the required yield stress of the steel. Show all work and formulas
2.77 A steel rod 3 ft long with a cross-sectional area of 0.3 in.² is stretched between two fixed points. The tensile force in the rod is 1200 lb at 40°F. Using a = 6.5 x 10-6/°F and E = 29 × 106 psi, calculate the temperature at which the stress in the rod will be (a) 10 ksi; and (b) zero.
di, E1 dz, Ez 0,4 m 0,5 m 0,7 m di = 80 mm , In the loaded system as in the figur e on the left, a blind hole of 0.4m 1 40 kN was drilled in the d2 diamete r and 0.5 m long part d3 diameter. A load of 140 kN is applied to the e nd of the system. Calculate how m uch the temperature of the system must be increased in order for the t otal deformation to be zero. E1 = 200 GPa a1=12x10-6 E2 = 100 GPa a2=16x10-6 d2 = 50 mm, d3= 30 mm
SM1007 THIN CYLINDER The pressure vessel shown.above is made from 4 mm thick steel plate. A pressure of 3.5 MN/m< is applied to the cylinder with a length of 1.1 m and an internal diameter of 0.3 m. Young's modulus is E = 220 GN/m2 and Poisson's ratio is v = 0.3.
Problem 3 A large spherical tank (see figure) contains gas at a pressure of 3.5 MPa. The tank is 20 m in diameter and is constructed of high-strength steel having a yield stress in tension of 550 MPa. (a) Determine the required thickness of the wall of the tank if a factor of safety of 3.5 with respect to yielding is required. (b) If the tank wall thickness is 100 mm, what is the maximum permissible internal pressure? (Assume that the given radius or diameter is an inside dimension and that all internal pressures are gage pressures.)
Please show intermediate steps including free diagrams, equations used, and problem setup, so that your approach can be followed
Q4 / A thick cylinder of (200mm) external diameter and (100mm) internal diameter, the internal pressure of (90MPa) applied only, Determine:- 1- Stresses that developed on outer and inner surfaces of cylinder. 2- Strains at the outer and inner surface of cylinder. E-210GPa, v=0.3