Homework #9
CEE 4100 Computer Analysis of Structures
The beam below is made of steel (E = 29,000 ksi, G = 11,200 ksi). The point load shown is applied
at the center of the span. Use the nite element method with two elements to solve both problems.
1. Find
Homework #19
CEE 4100 Computer Analysis of Structures Spring 2012
Design the steel truss below so as to minimize the weight. In other words, nd the angle, , and the
bar area, A, so that the truss weight is minimized. The bars are circular, with radius r.
Homework #13
CEE 4100 Computer Analysis of Structures
The water tower below has a height of H = 45 ft and has a capacity of 500,000 gallons. The four
steel columns have the dimensions shown.
Column Dimensions
1.5 in
28 in
H
11 11 11
00 00 00
11
00
28 in
1
Homework: User-dened functions
CEE 4100 Computer Analysis of Structures
Create a user-dened function in Excel that calculates the stress in a steel sample given the strain.
Assume that the behavior of steel is elasticperfectly-plastic. That is, the stress
Homework #16
CEE 4100 Computer Analysis of Structures Spring 2012
You will be analyzing the frame below, which has the following properties:
m1 = 0.70 kipsec2 /ft
m2 = 0.70 kipsec2 /ft
m3 = 0.65 kipsec2 /ft
m4 = 0.55 kipsec2 /ft
I1 = 300 in4
I2 = 300 in4
Homework #4
CEE 4100 Computer Analysis of Structures Fall 2010
1. Write an Excel function that will return the stiffness matrix, [K] = [T ]T [k][T ], in global coordinates for a two-dimensional truss element given the coordinates of the end points, the
cr
Homework #1
CEE 4100 Computer Analysis of Structures
1. Solve the following by hand:
(a) Problem A.1 (c), (d), and (f) in your textbook. Show all work.
(b) Solve for [k] where
[k] = [T ]T [k][T ]
and
AE
L
0
[k] =
[T ] =
AE
L
0
0 AE
L
0
0
0 AE
L
0
0
0
0
Homework: Symmetric Truss
CEE 4100 Computer Analysis of Structures
Using the truss in problem 3.32 in your textbook:
1. Set up the solution (taking advantage of symmetry) and solve for the deection at node 3, the
bar forces, and reactions. You may use Exc
Homework #18
CEE 4100 Computer Analysis of Structures Spring 2012
In this homework, you will use a Monte Carlo simulation to estimate the statistical parameters (mean
and standard deviation) for the maximum bending stress of the beam shown below.
w
h
b
Homework #20
CEE 4100 Computer Analysis of Structures Spring 2012
For the following cost function:
C(x, y) = 8x + x2 + 12y + 4y 2 2xy
1. Use Mathcad to plot a contour for the function.
2. On the contour, show three iterations of the steepest descent metho
Homework #10
CEE 4100 Computer Analysis of Structures Fall 2010
For the mass-spring system shown below, k = 1.5105 N/m and m = 750 kg. The force is a triangular
pulse as shown with a maximum force r = 3.0105 N. The pulse ends at tend = 0.67 sec. Assume
th
Homework #8
CEE 4100 Computer Analysis of Structures
For the steel beam below, L = 20 ft, I = 750 in4 , and E = 29,000 ksi. The lateral force, F , is located
at the midpoint of the beam.
1. For F = 20 kip and T = 200 kip, nd the maximum deection of the be
Homework #14
CEE 4100 Computer Analysis of Structures Spring 2012
Find the dynamic response, x(t), of the water tower from the previous homework using the central
difference method (CDM). Assume the tank is full of water. Use the same triangular pulse fro
Homework #6
CEE 4100 Computer Analysis of Structures Fall 2010
1. For problem 5.21 in your book:
(a) Find the rotation at the right end and the deection and rotation 20 feet from the left end.
Your answer for the deection and rotation at 20 feet should be
Homework #17
CEE 4100 Computer Analysis of Structures Spring 2012
You will be doing seismic time-history and modal analyses of the building you have been using
in previous assignment(s). The earthquake record you will be using is from the 1940 El Centro
e