For a thick pressure vessel of inner radius, a and outer radius b, the differential equation...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
For a thick pressure vessel of inner radius, a and outer radius b, the differential equation for the radial displacement u of a point along the thickness is given by: d²u 1 du U + dr² r dr r = 0 Using finite difference approximations d²u dr² du dr U₁+1 - 2u; + U₁-1 (Ar)² U₁+1 - U₁ Ar Develop the discretized equations for displacement of equation I Using a 5" and b = 8" using Ar=0.6" develop the system of equations for estimating displacements ( Strains) at each nodes. (number of nodes n = (b-a)/Ar = (8-5)/0.6 = 5 Solve the system of equations using Gauss Eliminations methods to get the stress at each node.( show your work in details For a thick pressure vessel of inner radius, a and outer radius b, the differential equation for the radial displacement u of a point along the thickness is given by: d²u 1 du U + dr² r dr r = 0 Using finite difference approximations d²u dr² du dr U₁+1 - 2u; + U₁-1 (Ar)² U₁+1 - U₁ Ar Develop the discretized equations for displacement of equation I Using a 5" and b = 8" using Ar=0.6" develop the system of equations for estimating displacements ( Strains) at each nodes. (number of nodes n = (b-a)/Ar = (8-5)/0.6 = 5 Solve the system of equations using Gauss Eliminations methods to get the stress at each node.( show your work in details
Expert Answer:
Answer rating: 100% (QA)
1 Given Inner radius a 5 Outer radius b 8 Step size r 06 2 Number of nodes n ba... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
The thin-walled cylindrical pressure vessel of inner radius r and thickness t is subjected to an internal pressure p. If the material constants are E and ν, determine the strains in the...
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
A geostationary satellite orbiting at a height 36,000km operates at 4GHz using a transmitter antenna that has a gain of 15dB. On earth the receiver antenna has a gain of 45dB. Calculate; (a) Free...
-
Courts are trying hard to support some kinds of cooperative programs in companies today.
-
What are the advantages and disadvantages of recruiters providing a realistic job preview to job applicants? What are some instances when realistic job previews should not be used?
-
Which entity, an individual or a corporation, would pay more income tax on a net long-term capital gain of $10,000?
-
Collier Manufacturing Co. operates on a modified wage plan. During one weeks operation, the following direct labor costs were incurred: The employees are machine operators. Piece rates vary with the...
-
When migrating legacy systems to modern architectures such as microservices or server less computing platforms, what strategies do you employ to decouple dependencies, refactor monolithic data...
-
Cardinal Company is considering a five-year project that would require a $2,975,000 investment in equipment with a useful life of five years and no salvage value . The company's discount rate is 14%....
-
On December 1, 2017, Rodriguez Distributing Company had the following account balances. During December, the company completed the following summary transactions. Dec. 6 Paid $1,600 for salaries and...
-
XYZ groups has one class of preferred stock for which $624420 shares are outstanding. The common dividend is $4.85 per preferred stock. If the current price of preferred stock is $82, Calculate the...
-
The statement of cash flows reports on ________. Question content area bottom Part 1 A. where cash came from and how cash was spent B. the changes in retained earnings C. the company's financial...
-
Your client has asked for assistance designing a home gym. Which is the first thing you should consider in the design process? a. the client's budget b. the space available c. the portability of the...
-
How will the change in Accounts Payable be shown on the statement of cash flows? Question content area bottom Part 1 A. as an addition to operating cash flows B. as a deduction from Net Income in the...
-
5.9 You discover a record marked RRSIG in your DNS zone. What conclusions can you draw from this entry Question 8 options: DNSSEC has been enabled Conditional forwarding has been applied Peer Name...
-
opic: What are the major challenges in managing information systems? Explain the connection between the Firm, its IT Infrastructure and Business bilities. Discuss Cloud Computing in terms of fueling...
-
KD Insurance Company specializes in term life insurance contracts. Cash collection experience shows that 20 percent of billed premiums are collected in the month before they are due, 60 percent are...
-
Solve Prob. 931 for the normal stress acting perpendicular to the seam. 40 200 N 200 N 100 mm
-
The gear motor can develop 1/10 hp when it turns at 80 rev/min. If the allowable shear stress for the shaft is Ï allow = 4 ksi, determine the smallest diameter of the shaft to the nearest 1/8...
-
If the allowable tensile stress for wires AB and AC is Ï allow = 180 MPa, and wire AB has a diameter of 5 mm and AC has a diameter of 6 mm, determine the greatest force P that can be applied to...
-
Parents with a child in subsidized childcare in the province of Qubec, Canada, pay a basic amount and, depending on family income, may pay an additional amount. As of January 1, 2017, families with a...
-
A firm in the state of Karnataka in India can source one of its factors of production either within the state, \(F_{K}\), or from the neighboring state of Maharashtra, \(F_{M}\). Assume the quality...
-
In the Application A Beer Manufacturer's ShortRun Cost Curves," the short-run variable cost function for Japanese beer is \(V C=0.55 q^{1.67}\). If the fixed cost is 600 and the firm produces 550...
Study smarter with the SolutionInn App