Introduction To Finite Element Analysis And Design
2nd Edition
ISBN: 9781119078722
Author: Kim, Nam H., Sankar, Bhavani V., KUMAR, Ashok V., Author.
Publisher: John Wiley & Sons,
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Chapter 2, Problem 17E
Consider a finite element with three nodes, as shown in the figure. When the solution is approximated using
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Determine by direct integration the moment of inertia of theshaded area at right with respect to the x axis shown.
Determine by direct integration the moment of inertia of theshaded area of the figure with respect to the y axis shown.
For the following MATLAB code, I need to answer a few questions. Can you identify the curves as elliptic functions? Which curves reflect the sn, cn, and dn functions?From the curves, determine the maximum amplitudes and the period corresponding toeach angular velocity component.
clc;
clear all;
I = [500; 125; 425];
w = [0.2; 0.1; 0.2];
rev = 0:0.01:10;
C = eye(3);
% Using ode45 to integrate the KDE and DDE
options = odeset('RelTol',1e-9,'AbsTol',1e-9);
result = ode45(@K_DDE, rev, [w; I; C(:)], options);
v = result.x;
% Extracting information from the ode45 solver
w = result.y(1:3, :);
C_ode = reshape(result.y(7:end, :), [3,3,length(v)]);
plot(v, w)
xlabel('rev')
ylabel('w (rad/s)')
legend('w1', 'w2', 'w3')
% Functions
function dwCdt = K_DDE(~, w_IC)
% Extracting the initial condtions to a variable
w = w_IC(1:3);
I = w_IC(4:6);
C = reshape(w_IC(7:end), [3, 3]);
I1 = I(1);
I2 = I(2);
I3 = I(3);
K1 = -(I3-I2)/I1;
K2 = -(I1-I3)/I2;
K3 = -(I2-I1)/I3;
%…
please show a drawing/image and explain how to properly do the question. thanks
Chapter 2 Solutions
Introduction To Finite Element Analysis And Design
Ch. 2 - Answer the following descriptive questions.
a....Ch. 2 - Use the Galerkin method to solve the following...Ch. 2 - Solve the differential equation in problem 2 using...Ch. 2 - Prob. 4ECh. 2 - Using the Galerkin method, solve the following...Ch. 2 - A one-dimensional heat conduction problem can be...Ch. 2 - Solve the one-dimensional heat conduction problem...Ch. 2 - Prob. 8ECh. 2 - Solve the differential equation in problem 8 for...Ch. 2 - Prob. 10E
Ch. 2 - Prob. 11ECh. 2 - Prob. 12ECh. 2 - Using the Galerkin method, calculate the...Ch. 2 - The boundary-value problem for a clamped-clamped...Ch. 2 - The boundary-value problem for a cantilevered beam...Ch. 2 - Prob. 16ECh. 2 - Consider a finite element with three nodes, as...Ch. 2 - A vertical rod of elastic material is fixed at...Ch. 2 - A bar in the figure is under the uniformly...Ch. 2 - Prob. 20ECh. 2 - A tapered bar with circular cross section is fixed...Ch. 2 - The stepped bar shown in the figure is subjected...Ch. 2 - A bar shown in the figure is modeled using three...Ch. 2 - Consider the tapered bar in problem 17. Use the...Ch. 2 - Consider the tapered bar in problem 21. Use the...Ch. 2 - Consider the uniform bar in the figure. Axial load...Ch. 2 - Determine shape functions of a bar element shown...Ch. 2 - Consider a finite element with three nodes, as...
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- My ID# 016948724 last 2 ID# 24 Last 3 ID# 724 Please help to find the correct answer for this problem using my ID# first write le line of action and then help me to find the forces {fx= , fy= mz= and for the last find the moment of inertial about the show x and y axes please show how to solve step by steparrow_forwardMy ID# 016948724 last 2 ID# 24 Last 3 ID# 724 Please help to find the correct answer for this problem using my ID# first write le line of action and then help me to find the forces and the tension {fx= , fy= mz=arrow_forwardMy ID# 016948724 last 2 ID# 24 Last 3 ID# 724 Please help to find the correct answer for this problem using my ID# first write le line of action and then help me to find the forces {fx= , fy= mz=arrow_forward
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