Express the explicit shape functions for the corner nodes of the quadratic hexahedral element shown in Figure

Question:

Express the explicit shape functions for the corner nodes of the quadratic hexahedral element shown in Figure 11-6 on page 551.

Figure P11-6,

(a)

(25. 25.0) 2 (10, 0, 0) (40, 0,0) (25, 0, 25)

(b)

(10, 7, 0) (4, 2, 0) (12, 2, 0) (10, 2, 5)

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 09:00 AM

See More Questions

Express the explicit shape functions N2 through N8, similar to N1 given by Eq. (11.3.4), for the linear hexahedral element shown in Figure 11-5 on page 548. Figure P11-5 Figure 11-5 Linear hexahedral...
For the two-noded one-dimensional isoparametric element shown in Figure P10-2 (a) and (b), with shape functions given by Eq. (10.1.5), determine (a) Intrinsic coordinate s at point A and (b) Shape...
Answer the same questions as posed in problem 10.2 with the data listed under the Figure P10-3. Data from Problem 10.2 For the two-noded one-dimensional isoparametric element shown in Figure P102 (a)...
A long, slender bar in the shape of a right circular cone with length L and base diameter d hangs vertically under the action of its own weight (see figure). The weight of the cone is W and the...
Oxygen gas is compressed in a pistoncylinder device from an initial state of 12 ft3/lbm and 75F to a final state of 1.5 ft3/lbm and 525F. Determine the reversible work input and the increase in the...
The following balance sheets have been prepared as at December 31, Year 6, for Kay Corp. and Adams Ventures: Additional Information: Kay acquired its 40% interest in Adams for $374,000 in Year 2,...
Learn about how nations can enhance their competitive advantage. LO.1
Autotech Manufacturing is engaged in the production of replacement parts for automobiles. One plant specializes in the production of two parts: Part #127 and Part #234. Part #127 produced the highest...
Profits have been decreasing for several years at Pegasus Airlines. In an effort to improve the companys performance, the company is thinking about dropping several flights that appear to be...
George Jackson operates a small machine shop. He manufactures one standard product available from many other similar businesses, and he also manufactures custom-ordered products. His accountant...
Figure P11-10 shows how solid and plane elements may be connected. What restriction must be placed on the externally applied loads for this connection to be acceptable? Figure P11-10, Plane elements...
Determine the deflections at the four corners of the free end of the structural steel cantilever beam shown in Figure P11-14. Also determine the maximum principal stress. Compare your answer for...
Record the following transactions for S Vernons first month of business operations. 2009 2 January 25,000 of owner's money placed into business bank account. 7 January Premises are bought for 15,000,...
Evaluation a. Evaluate the effectiveness of social media marketing campaign for instagram, facebook and pintrest ?based on your KPIs for example account reached, content reached, likes, shares,...
A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At a =...
A 20-lb homogeneous box has tipped and is resting against a 40-lb homogeneous box as shown in figure attached. The coefficient of friction between box A and the floor is 0.7, and between box B and...
The Taylor series for natural logarithm (with base e) In(1+r) is In(1+2) -(-1)+1 for <1. (a) Write a user-defined function using loop that determines In(1+x) using the above Taylor series. Your...
Question 1: [up to 4 pts] Suppose that a = 1, a2 = 2, a3 = = 3, and an = an-3 for all n 4. If an integral with respect to y is used to find the area of R, what should the upper limit of integration...
Solve the differential equations in Problems 26 through 28 by regarding y as the independent variable rather than x. dy (1 + 2xy) = 1 + y dx
Coastal Refining Company operates a refinery with a distillation capacity of 12,000 barrels per day. As a new member of Coastal's management team, you have been given the task of developing a...
Derive Equation (2-35) by integrating the convection heat loss from the rod of case 1 in Section 2-9.
One side of a copper block 4 cm thick is maintained at 175C. The other side is covered with a layer of fiberglass 1.5 cm thick. The outside of the fiberglass is maintained at 80C, and the total heat...
Derive Equation (2-36) by integrating the convection heat loss from the rod of case 3 in Section 2-9.
Management makes many judgements and estimates in preparing accounts, some of which will have a significant effect on the reported results and financial position. Give examples of ZAIN estimates and...
What is the NPV of a project with an initial investment of $350,000 and annual cash inflows of $150,000 for the next 10 years? Cost of capital is 13% A $436,721.21 B $442,901.59 C $452,932.43 D...
Journal DATE DESCRIPTION POST. REF. DEBIT CREDIT 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Joumalize the entries for the following transactions. Refer to the Chart of Accounts for exact wording of...

Express the explicit shape functions for the corner nodes of the quadratic hexahedral element shown in Figure

Question:

(25. 25.0) 2 (10, 0, 0) (40, 0,0) (25, 0, 25) (10, 7, 0) (4, 2, 0) (12, 2, 0) (10, 2, 5)

Step by Step Answer:

Quadratic hexahedral element see Figure 116 By Equation 11311 Node ...View the full answer

A First Course in the Finite Element Method

Students also viewed these Thermodynamics questions