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(taxman)
EAU __ *eX/L
EAU = S('e)(/L)d)( "ADJ 1, M5a+W We 1? we Emmy/Ru
_ x, N \J-CGM, m is
1: _ L? e L + c
Em - I(~L"'em+c) Ax
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TD 31
O/m
Andreanna Tzortzis
CE 130N
January 27, 2012
Homework 1
In order to solve Problem 1, we use the relevant equations from class, which is a derived from
the equations for equilibrium: dRUC) + [90; 0 , kinematics: s = gkes law: 0' = E (xi?
. .
1. Attach your codes this time. Try to understand what is exactly going on in your codes. Change
the comments if necessary. When you submit it, it should of your own style. I have my special
ways to detect and divide the scores for similar codes.
2. Pay a
Singularity functions
(Notes from ofce hours 12/1/2010 . . . and then some. Someone in ofce
hours asked me to write this up and send it out, so here you go.)
-Andy Ruina
Motivation. For loads w.x/ that are not smooth, singularity functions
make it easier
Spring2012 CE130N Reference Solution to the Practice Final
Problem#1
Solution:
According to the problem statement, we have,
K ff
K
df
K fd c f Ff
K ff c f K fd cd Ff
K dd cd Fd
K df c f K dd cd Fd
Where,
1
K ff
2
1
0
K dd
0
0
2
0 1 0 1
T
; K fd
S. Govindjee
CE 130N
1
UNIVERSITY OF CALIFORNIA BERKELEY Structural Engineering,
Department of Civil Engineering
Mechanics and Materials
Spring 2011
Professor: S. Govindjee
CE 130N
Midterm Exam
March 10, 2010
50 minutes
Closed Book
Closed Notes
No Calcula
UNIVERSITY OF CALIFORNIA BERKELEY
Department of Civil Engineering
Spring 2011
Structural Engineering,
Mechanics and Materials
Professor: S. Govindjee
Two-dimensional problems
1
1
The Method of Ritz: Application to 2-D problems
The systems to which one can
S. Govindjee
CE 130N
1
UNIVERSITY OF CALIFORNIA BERKELEY Structural Engineering,
Department of Civil Engineering
Mechanics and Materials
Spring 2011
Professor: S. Govindjee
CE 130N
Final Exam
May 12, 2010
3 hours
Closed Book
2 Note Sheets
Problem
#1
#2
#3
CE130N Final Review
1 Pimentel
Disability students should
come to 539 Davis Hall
from 9:00 am to 1:30 pm
RR Week Office Hour Schedule
Seven problems are out of the following
Eight Subjects
One problem is the True & False choice
problem and each question i
Lecture 22 Energy Methods for Thin Plates
Geometric Interpretation
II. Stress Resultants (Constitutive relations)
Relationship between virtual work method and
the principle of stationary potential energy
A model combining beams and plates
A dragline rope
Lecture 4 Truss Structure (I)
Definition of a Truss
A truss is a mechanics model for the structural
member that is assumed to only transmit axial load.
Truss consists of straight members connected at
joints. No member is continuous through a joint.
Most
Lecture 3 Euler-Bernoulli Beam
I. Kinematics
Normal Strain Due to Bending
Consider a beam segment of length L.
After deformation, the length of the neutral surface
remains L. At other sections,
II. Equilibrium:
There are three stress resultants:
+
_
Inter
Engineering Mechanics of Deformable Solids:
A Presentation with Exercises
Sanjay Govindjee
ii
c by Sanjay Govindjee, 2009, all rights reserved.
iii
Preface
This text was developed for a Strength of Materials course I taught at the University of California