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Problem Set 9 for CEE 502, Winter 2008 - Prof. Marc Eberhard, Assignments of Civil Engineering

University of Washington (UW) - SeattleCivil Engineering
Prof. Marc Eberhard

Problem set 9 for the cee 502 course during the winter 2008 semester. The problem set includes instructions for solving problems 16.5 in chopra's 'dynamics of structures' textbook and an approximation of the problem. Students are required to compute midspan displacement responses for both the distributed and concentrated force systems and plot the results. The solution will be posted on march 14th, noon. The final exam is scheduled for monday morning from 8:30-10:20.

Typology: Assignments

Pre 2010

Uploaded on 03/10/2009

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CEE 502 Problem Set 9 Winter 2008
(Solution will be posted Friday, March 14th, noon)
Reading: Chopra 16.1-16.5 (skip 16.3.3)
Problem 1.
a) Solve Problem 16.5 in Chopra, Dynamics of Structures.
b) Plot the deflected shape at the time at which the first mode goes through its first
maximum.
c) Plot the midspan displacement response as a function of time.
2. Consider a simple approximation to Problem 1, in which the full mass (mL) is lumped
at midspan. Lump the distributed force into a concentrated force (p(t) L) at midspan also.
a) Compute the midspan displacement response for the SDOF system,
b) Plot the calculated midspan response as a function of time on the same plot as you
plotted your result for Problem 1.
Note: Final Exam is on Monday morning, from 8:30-10:20.

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CEE 502 Problem Set 9 Winter 2008

(Solution will be posted Friday, March 14th, noon)

Reading: Chopra 16.1-16.5 (skip 16.3.3)

Problem 1.

a) Solve Problem 16.5 in Chopra, Dynamics of Structures.

b) Plot the deflected shape at the time at which the first mode goes through its first maximum.

c) Plot the midspan displacement response as a function of time.

2. Consider a simple approximation to Problem 1, in which the full mass (mL) is lumped at midspan. Lump the distributed force into a concentrated force (p(t) L) at midspan also.

a) Compute the midspan displacement response for the SDOF system,

b) Plot the calculated midspan response as a function of time on the same plot as you plotted your result for Problem 1.

Note : Final Exam is on Monday morning, from 8:30-10:20.