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Homework 3 (Due Monday 02/15/2016)
1. For the spring assemblages shown below, determine the nodal displacements. the
forces in each element, and the reactions. Using the principle of minimum potential
energy
.
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Homework # 2
Due Friday, Feb 5
Sam ~juo Knj
For the spring assemblage with arbitrarily numbered nodes shown below, obtain (a) the global
stiffness matrix, (b) the displacements of nodes 3 and 4, (c) the reaction forces at nodes 1 and
2, and (d) the forces
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Homework # 6
Due Monday, Feb 22
For the bar hanging under its own weight shown in Figure below, determine the nodal
displacements and axial stress distribution using (a) two equal-len th two-node elements and (b)
hr e-node ele
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Homework 4 (Due Friday 02/19/2016)
1. A) For the truss shown below solve for the horizontal and vertical components of
dis lacement at node 1 and determine the W Also veri force
equilibrium at nOde 1. All elements have A1=1 in.2 and E= 10
clc
clear all
E = 210000;
v = 0.25;
x = [10 20 20 12];
y = [10 10 15 15];
s = [-0.5773 -0.5773 0.5773 0.5773 ];
t = [-0.5773 0.5773 -0.5773 0.5773 ];
D = E/(1-v^2)*[1 v 0; v 1 0; 0 0 (1-v)/2];
for i = 1:length(x)
J = 1/8 * x * [ 0 1-t(i) t(i)-s(i) s(i)-1;
clc
clear all
syms r s
t = 1;
H = [1/4*(1+r)*(1+s)*(s+r-1) 1/4*(1-r)*(1+s)*(s-r-1) 1/4*(1-r)*(1-s)*(-s-r-1) 1/4*(1+r)*(1-s)*(-s+r-1) 1/2*(1r)*(1-s^2)];
for i = 1:5
b = [diff(H(i),r) 0; 0 diff(H(i),s); diff(H(i),s) diff(H(i),r)];
if i=1
b1 = b;
elseif i =
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Homework # 5 5/34 5500
Due Monday 02-22-2016
1. For the plane trusses with inclined supports shown in Figure below, solve for the nodal
dis lacements reactions and W in the bars. Let A: 2 in2, E: 30 x 106 psi,
and L= 30 in. for each truss. (