CE 463 Structural Analysis 2
Partial Answers to 2009 Final Exam
QUESTION 2:
(a) From the beak to ground one worm-bar element is enough.
Smaller elements inside the ground, especially near G, to capture high force gradient.
May increase in size as end E is
CE 463 Structural Analysis 2
Problem Assignment #9
Due: Friday, April 8, 2011
Problem 1:
1. Determine the natural frequencies and associated mode shapes for the undamped 3-story
building shown in Figure 1.
2. Show that the three mode shapes are orthogonal
CE 463 Structural Analysis 2
Solution to Problem Assignment #9
April 8, 2011
PROBLEM 1 Solution:
CE 463
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Assignement # 9 Solution
For the building shown in fig. 4.6, the mass and stiffness matrices are given by:
2
CE 463
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Assignement # 9 Solut
CE 463 - Advanced Structural Analysis
Solution to Problem Assignment #8
Due: Monday, March 31, 2014
Question 1: solved using Mathematica
a) Derivation of Shape Functions N1 , N4 , and N0 for the four node quadrilateral
Define Shape Functions N1 using the
CE 463 Structural Analysis 2
Solution to Problem Assignment #01
Monday, January 14, 2010
Question 1:
Solution:
Question 2:
CE 463
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Assignement # 01
Solution:
Question 3:
Solution:
The principal stresses correspond to the eigenvalues of the stress te
4.3. The Plane Stress Problem
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N is called the shape fcn matrix,
2 by 2n (n = # of nodes)
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B has order 3 by 2n
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4.4. The Linear Plane Stress Triangle
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4.4. The Linear Plane Stress Triangle
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4.4. The Linear Plane Stress Triangle
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4.4. The Linear Plane Stress Triangle
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4.4. The Linear Plane Stress Triangle
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4.4. The Linear Plane Stress Triangle
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CE 463 Structural Analysis 2
Problem Assignment #4
Due: Monday, February 10, 2014
CE 463
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Assignement # 4
Problem NO. 4
2
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Problem NO. 4
MCB = + 416.67 kN
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CE 463 Advanced Structural Analysis
Solution to Problem Assignment #6
Due: Monday, March 17, 2014
Question 1:
Q1. a) The constitutive matrix for the plane stress problem is of the following form:
E11
E E12
0
E12
E22
0
0
0
E33
The expression of the in
CE 463 Structural Analysis 2
Solution to Problem Assignment #2
Due: Monday, January 27, 2014
CE 463
Assignement # 2 Solution
Page 2
2
Problem No 3.
Vertical deflection at A
CE 463 Structural Analysis 2
Solution to Problem Assignment #9
April 8, 2014
PROBLEM 1 Solution:
The general vibration of a three storey building is governed by the following system of ordinary
differential equations
M X(t ) C X(t ) K X(t ) F(t ) or
m 0
CE 463 Advanced Structural Analysis
Solution to Problem Assignment #1
Due: Monday, January 20, 2014
Question 1:
Solution:
Question 2:
CE 463
Page 2
Assignement # 1
Solution:
Question 3:
Solution:
The principal stresses correspond to the eigenvalues of the
CE 463 Advanced Structural Analysis
Solution to Problem Assignment #7
Due: Wednesday, March 23, 2007
PROBLEM 1 Solution:
PROBLEM 2 Solution:
PROBLEM 4 Solution:
CE 463 Structural Analysis 2
Solution to Problem Assignment #5
Due: Monday, March 7, 2011
PROBLEM 1:
PROBLEM 2:
CE 463
Page 2
Assignement # 5 Solution
PROBLEM 3:
PROBLEM 4:
2
CE 463 Advanced Structural Analysis
Solution to Problem Assignment #6
Due: Wednesday, March 16, 2011
PROBLEM 1:
Problem 2:
This problem has been solved using the ANSYS command language interface. You can either
1. Type each of the following commands in th