2. Figure 1 shows a stepped beam ABC of length 2L fixed to rigid walls at...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
2. Figure 1 shows a stepped beam ABC of length 2L fixed to rigid walls at A and C. The flexural rigidity of portion AB is 2EI and that of BC is EI. The beam is subjected to two distributed loads as shown. It is intended to model each of portions AB and BC using a single beam element. A www. w₁ (N/m) L B W₂ (N/m) L Figure 1 C y X (a) Draw a finite element model of the beam showing element numbers, node numbers and symbols for nodal displacements/rotations and nodal forces/ moments. List all the boundary conditions. (5 marks) (b) Convert the distributed loads into equivalent lumped nodal loads using the formula {}=[qL/2_qL²/12_qL/2 -q1²/12] where q is the transverse load intensity (N/m) along y direction and show the nodal loads pictorially on a neat sketch of beam elements. (5 marks) (c) Write all element matrices and load vectors and assemble them to obtain the global equilibrium equations. Apply the boundary conditions to obtain a reduced system of equations. (5 marks) = (d) For L = 1 m, EI = 10000 Nm², wi 10000 N/m and w2 = 5000 N/m, solve the reduced system of equations for the vertical deflection and cross sectional rotation at B. (5 marks) 2. Figure 1 shows a stepped beam ABC of length 2L fixed to rigid walls at A and C. The flexural rigidity of portion AB is 2EI and that of BC is EI. The beam is subjected to two distributed loads as shown. It is intended to model each of portions AB and BC using a single beam element. A www. w₁ (N/m) L B W₂ (N/m) L Figure 1 C y X (a) Draw a finite element model of the beam showing element numbers, node numbers and symbols for nodal displacements/rotations and nodal forces/ moments. List all the boundary conditions. (5 marks) (b) Convert the distributed loads into equivalent lumped nodal loads using the formula {}=[qL/2_qL²/12_qL/2 -q1²/12] where q is the transverse load intensity (N/m) along y direction and show the nodal loads pictorially on a neat sketch of beam elements. (5 marks) (c) Write all element matrices and load vectors and assemble them to obtain the global equilibrium equations. Apply the boundary conditions to obtain a reduced system of equations. (5 marks) = (d) For L = 1 m, EI = 10000 Nm², wi 10000 N/m and w2 = 5000 N/m, solve the reduced system of equations for the vertical deflection and cross sectional rotation at B. (5 marks)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these marketing questions
-
Let f(x)=5x-8, g(x) = 3x+10 and h(x)=-5x+3 find the following 1. (f.g)(-1) 2. (h/g)(1) 3. (f/g)(1/2) 4. (h.f)(x) 5. (h.f)(x) 6. (g*g)(x) 7. (f+g-h)(x) 8. (f.g.h)(x)
-
Juan dela Cruz, accounting manager of ABC Corporation, provided the following data for 2020 taxable year: Salaries @ P120,000 per month 1,440,000 Allowances subject to liquidation 50,000 Allowances...
-
Abdul Hadi is one of the 3 million Muslims living in Germany today. He has had surgery and is recovering from his operations in a hospital near his home. Anna is his nurse and is increasingly...
-
For the charge configuration of Prob. 2.15, find the potential at the center, using infinity as your reference point.
-
The following selected account balances relate to the shareholders' equity accounts of Mathur Corp. at year end: _______________________________________________________2018 2017 Preferred shares,...
-
A strategy consists of buying a market index product at $2900 and longing a put on the index with a strike of $2895. If the premium is $18.00 and interest rates are 0.5% per month, what is the profit...
-
Millard, Inc., sold 68,000 computer printers last year with the following results. Complete each of the following instructions independently of the others. Instructions: 1. Millard projects that it...
-
Presented below is an aging schedule for Jafar Company. At December 31, 2010, the unadjusted balance in Allowance for Doubtful Accounts is a credit of $16,000. Instructions (a) Journalize and post...
-
submit an Annotated Bibliography of five (5) sources from your working bibliography. First, put the source in the correct citation format for your particular curricular division, and then Do a brief...
-
A store maintains data on customers, products and purchase records in three tables: CUSTOMER, PRODUCT, PURCHASE. The store manager wants to know which product is on its maximum discount for each...
-
Can you please assist again and share/provide the actual numbers on how to get the final answer? Thank you. Toys Ltd. produces a toy called the Dazzler. Overhead is applied to products on the basis...
-
For a radio station, increased listening and delivering more occasions of listening are the key to audience gains. This measurement is the percentage of different persons who listen only to one radio...
-
An engineer pulls a control handle to operate a machine. The handle is attached at the upper end of a rigid shaft, at D. The lower end of the shaft is pinned at A. A nylon rope joins to the shaft at...
-
Discussion Question1 Go to the US Department of Homeland Security webpage: "Take the Challenge", located at: https://www.dhs.gov/see-something-say-something/take-challenge On this webpage, there are...
-
A mass of 4 kilograms of carbon dioxide (CO) in a piston-cylinder assembly undergoes two processes in series from an initial state where p = 4.5 MPa, T =280C: Process 1-2: Constant-temperature...
-
Your company has been contracted to manage the construction of a new apartment complex. The project has a tight budget and timeline, and the client is concerned about the project being completed on...
-
Cik Dah's sells 1,300 fancy cupcakes a year during the last MCO at an average price per cupcake of RM500. The carrying cost per unit is RM15.50. The company orders 60 fancy cupcakes at a time and has...
-
What are some of the possible sources of information about a company that could be used for determining the companys competitive stance?
-
Q plc uses standard costing. The details for April were as follows: Budgeted output ................................15 000 units Budgeted labour hours ......................60 000 hours Budgeted...
-
(a) The absence of the profit measure in not-for-profit (NFP) organizations causes problems for the measurement of their efficiency and effectiveness. (i) Why the absence of the profit measure should...
-
1. Do you think technological developments will always be an issue for management accountants? 2. Based on the brief summary above, what kinds of skills other than technical accounting training do...
-
The change in total cost that results from the production of one additional unit of output is called a. marginal revenue. b. average variable cost. c. marginal cost. d. average total cost. e. average...
-
Which short-run curve typically declines continuously as output expands? a. Average variable cost b. Average total cost c. Average fixed cost d. Marginal cost e. None of the above
-
What is the relationship between marginal costs and marginal product?
Study smarter with the SolutionInn App