Problem 2.6
1. Determine deformation and velocity at impact.
u(0)=T£=19-=02 in.
k 50
am) = 1/2gh = ~1/2(386)(36 = ~166.7 in./scc
2. Determine the natural frequency.
a) :fkgz (swam 24393 rad/sec
" w v
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #3
(Due October 4, 2010) Single Degree of Freedom Systems Free Vibration 1. 2. 3. Chopra Problem 2.6 Chopra Problem 2.20 Consider a heavy ma
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #2
(Due September 27, 2010) Modeling Discrete Parameter Systems - Equations of Motion 1. 2. 3. Chopra Problem 1.12 Chopra Problem 1.19 Deriv
GG 454
February 20, 2002
1
RESPONSE OF STRUCTURES (16) Main Topics A Acceleration, velocity and displacement spectra B Resonance and natural frequencies C Response of structures I I Displacement, velo
For a typical span AB: Problem 1.1 (a) MAB=2EIL2A+B-3LMAB Objective: Use the slope deflection method in order to analyze the span frame. Draw the shear and moment diagrams.
Solution Summary: 1) Unknow
A H M 531
Structures 2: Slope Deflection Method
By: Ahmed Essam Mansour
AHM531 The Civil Engineering Center
The Civil Engineering Center
1
Visit www.AHM531.com for more lecture notes and E-books!
A H
SHEAR MODULUS The shear modulus is the elastic modulus we use for the deformation which takes place when a force is applied parallel to one face of the object while the opposite face is held fixed by
A H M 531
Structures 2 : Moment Distribution Method
By: Ahmed Essam Mansour
The Civil Engineering Center
1
Visit www.AHM531.com for more lecture notes and E-books!
A H M 531
Structures 2 : Moment Dist
The generation of in-elastic response spectra for earthquake acceleration records
Athol J. Carr
University of Canterbury, Christchurch, New Zealand.
ABSTRACT: In 1960 Newmark showed that the displacem
UNIVERSITY OF MICHIGAN Official Examination Booklet
Question 1 2 3 4
Score
Total
Name of Student: Date of Examination: Course: October 13, 2010 CEE511 Midterm #1
The University of Michigan Honor Code
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #10
(Due Monday, December 13, 2010) Submit to Prof. Lynchs Mailbox in 2340 GG Brown Multiple Degree of Freedom Systems Spectral Analysis
A l
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #6
(Due November 8, 2010) Numerical Integration and Response Spectra 1. Consider the response of the Ann Arbor water tower to ground motion:
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #5
(Due November 1, 2010) Single Degree of Freedom Systems Impulsive Excitations 1. 2. 3. 4. 5. Chopra Problem 3.18 Chopra Problem 3.26 Chop
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #4
(Due October 11, 2010) Single Degree of Freedom Systems Harmonic Excitation 1. 2. 3. 4. 5. Chopra Problem 3.1 Chopra Problem 3.3 Chopra P
CEE511 Structural Dynamics Fall Semester 2010-2011
Homework #1
(Due September 20, 2009) 1 a) b) c) d) e) 2 a) b) c) d) Trigonometry (Assume A and B are constants)
sin( A B ) ? cos( A B ) ?
Show cos Ax