Question: For the shown 2-noded iso-parametric (linear) element with an applied traction given by the expression, a) Determine the number of integration points needed for exact

For the shown 2-noded iso-parametric (linear) element with an applied traction given by the expression,

a) Determine the number of integration points needed for exact numerical integration

b) Compute the nodal forces resulting from applied traction using Gauss Quadrature.

Assume ????0 = 40 units. Choose the fixed node as origin.

?

T(x) = T. (1+0) TIT

X T(x) = To (1+2) 10

Step by Step Solution

★★★★★

3.37 Rating (144 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To solve this problem lets follow the steps for both parts a Determine the number of integration poi... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Q:

Determine dynamic forces acting on bearings A and B when 0 = 0 analytically using manual calculation Using MATLAB script, plot graph of dynamic forces on bearings A and B versus theta (from, A = 0 to...

Q:

The forces and couples shown are applied to two screws as a piece of sheet metal is fastened to a block of wood. Reduce the forces and the couples to an equivalent wrench and determine (a) The...

Q:

For the linear strain tetrahedral element shown in Figure P11-9, (a) express the displacement fields u, v, and w in the x, y and z directions, respectively. There are 10 nodes each with three...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Q:

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Q:

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

Q:

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

Q:

Relevant disclosures need to be made to the client regarding the broker remuneration? 11. Advise which relevant disclosures need to be made to the client regarding the broker remuneration. (800 words)

Q:

Which of the following is NOT involved in critical thinking? (A) A skeptical attitude (B) A fallibilistic attitude (C) A wide knowledge base (C) A dogmatic attitude Something is a fact, or is real ,...

Q:

In reviewing the split of data, Maggie notes among the 1 3 cases, 2 belong to Class 1 and the remaining to Class 0 . What is the Gini index for the cases and is it pure or impure? 0 . 2 6 is closer...

Q:

Figure shows the stress - strain curve for a material. The scale of the stress axis is f set by, s = 300, in units of 106 N/m2. What are? (a) The Young's modulus and (b) The approximate yield...

Q:

A tunnel of length L = 150 m, height H = 7.2 m, and width 5.8 m (with a flat roof) is to be constructed at distance d = 60 m beneath the ground. (See Figure) The tunnel roof is to be supported...

Q:

You inflate the front tires on your cat to 28 psi. Later, you measure your blood pressure, obtaining a reading of 120/80, the readings being in mm Hg. In metric countries (which is to say, most of...

Q:

At a depth of 10.9 km, the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in 1960, Donald Walsh and Jacques Piccard reached the Challenger Deep in...

Q:

To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Q:

Describe what positive obligation under the ECHR means and the purpose they are meant to achieve

Q:

Section 10.4 for more information: Evaluation of the Stiffness Matrix and Stress Matrix by Gaussian Quadrature Evaluation of the Stiffness Matrix For the two-dimensional element, we have shown in...

Q:

In this problem, you are asked to go through the steps of a finite element analysis. The key features include the use of isoparametric element formulation and Gauss numerical integration. (A) Problem...

Q:

(a) A two-dimensional 4-node isoparametric element is shown below in physical coordinate space (x, y) and natural coordinate space (r, s). Determine the Jacobian matrix J, and the determinant of J,...

Q:

Can anyone please help me with these problems?? I will definitely rate your effort!!! Please help me. Please do not just copy and paste answers from another website. They are not even the right...

Q:

p=35 A pressure PMPa is applied on a plate (plane stress) as shown in the figure below. P=(lasttwonon-zerodigitsfromyourstudentID)MPa Please select the last two non-zero digits from your student ID....

Q:

Question 4: 3-D 8-node Linear Brick Element Method (20 marks) The 8-node isoparametric brick element shown in Cartesian coordinate system (x.y.z) below is mapped to the natural coordinate (. n. 9)....