For the bar shown in Figure P3-61 subjected to the linear varying axial load, determine the displacements

Question:

For the bar shown in Figure P3-61 subjected to the linear varying axial load, determine the displacements and stresses using

(a) One and then two finite element models and

(b) The collocation, sub-domain, least squares, and Galerkin's methods assuming a cubic polynomial of the form u(x) = c1x + c2x2 + c3x3?

Figure P3-61

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course in the Finite Element Method

ISBN: 978-1305635111

6th edition

Authors: Daryl L. Logan

See More Books

Question Posted: Feb 14, 2018 08:46 AM

See More Questions

Solve for the axial displacement and stress in the tapered bar shown in Figure P3-12 using one and then two constant-area elements. Evaluate the area at the center of each element length. Use that...
Derive the stiffness matrix for the non-prismatic bar shown in Figure P3-53 using the principle of minimum potential energy. Let E be constant. Figure P3-53 A(x) = A, + Ao %3D
For the tapered bar shown in Figure P3-60 with cross sectional areas A1 = 2 in.2 and A2 = 1 in.2 at each end, use the collocation, sub-domain, least squares, and Galerkin's methods to obtain the...
Gavin wrote the equation p=(3(s+100))/(4) to represent p, the profit he makes from s sales in his lawn -mowing business. Which equation is solved for s?
What does the area enclosed by the cycle represent on a P-v diagram? How about on a T-s diagram?
Consider 1.00 10 22 4 He atoms in a box of dimensions 1.0 cm 1.0 cm 1.0 cm. Calculate the occupancy of the first excited level at 1.0 mK, 2.0 K, and 4.0 K. Do the same for 3 He. What conclusions...
The dataset NFLContracts 2015 contains the yearly salary (in millions of dollars) from the contracts of all players on a National Football League (NFL) roster at the start of the 2015 season. (a) Use...
1. ________ was the first president to consciously use fiscal policy to stabilize the economy. 2. Walter Heller was President Lyndon Johnson s chief economic adviser. ________ (True/False) 3. The...
Lopez Sales Company had the following balances in its accounts on January 1 , Year 2 : Cash $ 6 2 , 0 0 0 Merchandise Inventory 4 2 , 0 0 0 Land 1 0 2 , 0 0 0 Common Stock 8 2 , 0 0 0 Retained...
Air at 25C flows at 30 x 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the flow is hydrodynamically and thermally fully developed. (a) Determine...
Solve Problem 3.55 for the axial displacement in the bar using collocation, sub-domain, least squares, and Galerkin's methods. Choose a quadratic polynomial u(x) = c1x + c2x2 in each method. Compare...
Use a computer program to solve the truss design problems shown in Figures P3-64 through P3-72. Determine the single most critical cross-sectional area based on maximum allowable yield strength or...
Moines Company accumulates the following data concerning a mixed cost, using miles as the activity level Compute the variable and fixed cost elements using the high-low method. Total Miles Driven...
In its December 31, 2015, statement of financial position, Oakley Corporation reported as an asset, Net notes and accounts receivable, 7,100,000. What other disclosures are necessary?
How does an asset gain or loss develop in pension accounting?
Cooper Investments reported an unusual gain from the sale of certain assets in its 2015 income statement. How does intraperiod tax allocation affect the reporting of this unusual gain?
At December 31, 2015, Ashley Co. has outstanding purchase commitments for purchase of 150,000 gallons, at 6.20 per gallon, of a raw material to be used in its manufacturing process. The company...
Under what circumstances is it appropriate to record goodwill in the accounts? How should goodwill, properly recorded on the books, be written off in order to conform with IFRS?
Find |v|. v = -6i + 12j + 4k
Compile data on consumption and expenditures for the following categories in 30 different countries: (1) food and beverages, (2) clothing and footwear, (3) housing and home operations, (4) household...
A piston/cylinder contains 1 kg water at 20oC with volume 0.1 m3. By mistake someone locks the piston preventing it from moving while we heat the water to saturated vapor. Find the final temperature,...
A piston cylinder contains 1 kg of liquid water at 20oC and 300 kPa. There is a linear spring mounted on the piston such that when the water is heated the pressure reaches 3 MPa with a volume of 0.1...
A piston cylinder contains 3 kg of air at 20oC and 300 kPa. It is now heated up in a constant pressure process to 600 K. a) Find the final volume b) Plot the process path in a P-v diagram c) Find the...
The highest WACC is 11%, the baseline WACC is 7.4% and lowest WACCS is 2.8%. To derive a WACC that better accounts for extreme scenarios, you decide to assign the following probability weights: High-...
Give 2 examples of the ff: Statutory law Regulatory law Common law Include the title of each example and explain why you chose these examples ( 1 to 2 sentences ) . Note: Write your reference ( s )
The Adams family includes a financially well-informed couple, both aged 36, and two children aged 4 and 6. The family is financially sound but suffered badly during the tech meltdown in 2000. The...

For the bar shown in Figure P3-61 subjected to the linear varying axial load, determine the displacements

Question:

T(x) = 10x kN/m AE = 2x 104 kN 3.0 m

Step by Step Answer:

Exact solution u0 0 0 A Collection method Let u C 1 x C 2 x 2 C 3 x 3 B ...View the full answer

A First Course in the Finite Element Method

Students also viewed these Thermodynamics questions