Parvinbhai Problem 2A triangular element has three nodes with high order interpolation functions, which canbe applicable for high strain rate. Develop the [D], [B], and [K] matrixes. Use the followingquadratic displacement functions in x- and y-direction as interpolation functions:u(x, y) = α₁ + a2x + α3y²v(x, y) = a + α5x + α6y²

The objective of the question is to develop the [D], [B], and [K] matrices for a triangular element…

Answered: Problem 2 A triangular element has…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 xx ху XZ [6]=0, |180 240 0 MPa ух yy yz 120 ZX zy Using the matrix transformation law, determine the state of stress at the same point for an element rotated about the x-axis (in the y-z plane) 60° clockwise from its original position. Calculate the stress invariants and write the characteristic equation for the original state of stress, Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, а. b. С. d. BRE
A A squere plate is boended by the liner x = ±2, y= ± 2. The boundlary femperatures %3D are on the hine y=2, T=-8o on the line x-12,T=-40Y on the line y=-2, T= 240 + 8ox for -25x Ko 7 = 240 - 8o x tor o
ii, If the length of each element is 5m and the k-EA/L is given as shown, analyze the following system by Direct Method of Finite Element. ki - 200 kN/m * - 1000 kN/m ky : 300 kN/m 400 kN 2 Develop the displacement vector b. Develop the force vectors | c. Develop the stifness matrix for each element d. Develop the global matrix for the sytem e. Find the displacement at node 2 £ Find the forces at node 1 and 3.
Two cables AB and AC are acting on the pole with forces FAB = 540N and FAC = 560N with parameters defining the attachment points shown in the table. We want to write the vector FAB in cartesian vector form. C X Y₂ parameters value units FAB 540 FAC 560 L ZI 3 7₂ 5.5 4 3.5 4 4 Submit Question N N m m m m m FAC A Y₁ Z write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. FAB= AB B L X1 N
Q4: Calculate elastic compliance constants (S's) related to C's in the following matrix. [C11 C12 C13] C21 C22 C23 C31 C32 C33
For the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the following: a) X (0,B) 1 2 (0,0) 3 (A,B) DIAGRAM NOT TO SCALE Write the expression of basis function associated with point 1, in terms of x and y Submit part Unanswered b) The displacement of node 3 is 0.3 m in the x direction, and 0 in the y. All other node displacements are zero. What is the normal strain component across the element? Submit part Unanswered
Two cables AB and AC are acting on the pole with forces FAB=540N and FAC = 560N with parameters defining the attachment points shown in the table. We want to write the vector AB in cartesian vector form. C Y₂ parameters value units 540 560 5.5 4 3.5 FAB FAC L Z1 Y 72 4 4 Submit Question N N m m m m m A x + 247.123 Y₁ write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. FAB= 282.427 Z B xj+-388.337 N
Given: F₁ = + < -13.6, 15.6,07 [N] 1₂= 20.1[N] 8 = 45° witch w = 1.875 m Height = 1.875m h h L 144 ( force would need to act ? Y W 1644 11. X 154 varhar is X-dorance from the origin The resultant
The following represents stress measured in the global coordinate system [10 (x1, X2, X3) as o = |20 L30 20 301 40 50 50 60] Find the stress in the rotated coordinate system defined by 2 2 1 %3D 3 cê2 + 0 êg 1 4 37 2 - 3/2 3/2 3- || ||
Where the general equation of vibration is (NKI- *[M][X]. Find eigenvalues and eigenvectors. Q.3. 1.5 1.5 50 --35 IK] =-35 -35 50 (M] =|0 70 1.5 0 -35
m and n are orthogonal vectors. Let their component forms be defined as (mx, my) and (nx, ny) respectively, where all values are integers. mx+nx=-3 and nymy=40. If O
Suppose that three coordinate frames 0₁X1Y1Z1, 02X2V2Z2 and 03X3Y3Z3 are given, and 0]: P². p³ 1 0 R3 = 0 0.5 LO 0.866 Find p¹ and matrix R₂. E R F4 Q Search %6 5 F5 -0.866; R3 = 0 -1 0.5 T 我道 F6 F7 & 7 99- PrtScn FB Home F9

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS