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

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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
i want a displacement and stress equations from the global matrix that you can find it from the code and make a calculation %‏‏‎ ‎Define‏‏‎ ‎node‏‏‎ ‎coordinates‏‏‎ ‎(x,‏‏‎ ‎y)nodes ‏‎=‎ ‎[0,‏‏‎ ‎0;‏‏‎ ‎3,‏‏‎ ‎6;‏‏‎ ‎6,‏‏‎ ‎0;‏‏‎ ‎3,‏‏‎ ‎12;‏‏‎ ‎6,‏‏‎ ‎12;‏‏‎ ‎9,‏‏‎ ‎6;‏‏‎ ‎12,‏‏‎ ‎0;‏‏‎ ‎9,‏‏‎ ‎12;‏‏‎ ‎12,‏‏‎ ‎12]; %‏‏‎ ‎Define‏‏‎ ‎the‏‏‎ ‎connectivity‏‏‎ ‎of‏‏‎ ‎the‏‏‎ ‎elements‏‏‎ ‎(start_node,‏‏‎ ‎end_node)elements‏‎ ‎=‏‏‎ ‎[‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎1,‏‏‎ ‎2;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎1,‏‏‎ ‎3;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎2,‏‏‎ ‎4;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎2,‏‏‎ ‎5;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎3,‏‏‎ ‎5;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎4,‏‏‎ ‎6;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎5,‏‏‎ ‎6;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎5,‏‏‎ ‎7;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎6,‏‏‎ ‎8;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎7,‏‏‎ ‎8;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎7,‏‏‎ ‎9;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎8,‏‏‎ ‎9]; %‏‏‎ ‎Define‏‏‎ ‎material‏‏‎ ‎properties‏‏‎ ‎and‏‏‎ ‎cross-sectional‏‏‎ ‎areaE‏‏‎ ‎=‏‏‎ ‎30e6;‏‏‎ ‎%‏‏‎ ‎Young's‏‏‎ ‎Modulus‏‏‎ ‎in‏‏‎ ‎psiA‏‏‎ ‎=‏‏‎ ‎1.2;‏‏‎ ‎%‏‏‎ ‎Cross-sectional‏‏‎ ‎area‏‏‎ ‎in‏‏‎ ‎in^2 %‏‏‎…
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
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
A rectangular tube of outer width w = 7.5 m, outer height h = 5 m and thickness t = 0.17 m experiences bending through the x axis. What is the moment of inertia of the cross-sectional area In? y -- X MATLAB input variables: format shortEng W = 7.5; h = 5; t = 0.17; moment of inertia I, = m4
Q4: Calculate elastic compliance constants (S's) related to C's in the following matrix. [C11 C12 C13] C21 C22 C23 C31 C32 C33
The kinematic diagram is given as 012=60 degree and the speed of the mechanism is constant and 012=50 rad/sn in the slide mechanism whose limb dimensions are given below. Find the following items. AoA = r2 = 0.2 m A,Bo = r1 = 0.5 m 012 = 60° 12 = 50 rad/s %3D %3D A a) Write the vector closure equations b) Bring the vector closure equations into scalar form c) Find s13,014 d) Find s13,014 e) Find 513,014 S13 014 ri Bo 012 Ao
Solve this whole problem and include the interpolation of the same table.
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
Approximate solution of the initial value problem up to 3rd order using the Taylor series method. find it.
Solve using matlab

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