Calculating Stiffness & Displacement of Structure w/100kN Weight

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Discussion Overview

The discussion revolves around a homework problem involving the calculation of stiffness and displacement of a structure subjected to specific loading conditions. The problem includes parameters such as weight, natural period, damping ratio, and loading characteristics, and seeks to explore both direct and approximate solutions.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about how to begin solving the problem and requests steps to follow.
  • Several participants inquire about the educational context, asking whether the course is at the undergraduate or graduate level and if specific engineering tools like MATLAB are being used.
  • Another participant mentions that the question is based on the dynamics of structures under earthquake loading, providing context for the problem.
  • Participants suggest checking course materials and other resources, including course slides and lab references that may contain relevant information.
  • A participant confirms they are at the graduate level and states that while MATLAB can be used, it is not necessary for this particular problem.
  • One participant shares a link to additional reference material that may help in understanding the problem better.

Areas of Agreement / Disagreement

There is no consensus on how to approach the problem, as participants express varying levels of familiarity and suggest different resources. The discussion remains unresolved regarding the specific steps to take in solving the homework problem.

Contextual Notes

Participants have noted the lack of similar problems in the textbook, which contributes to the uncertainty in starting the solution process. The discussion reflects a reliance on external resources and peer support for clarification.

Gogeta_2
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Homework Statement


1. A structure with weight of 100 kN and which has a natural period of 1 second.
Compute the stiffness of the structure. The structure has 5% critical damping. The
structure when at rest is subjected to a half sine wave loading having a magnitude of
10kN and lasting 2 seconds. Find the maximum displacement of the structure and the
time at which it occurs. Take the acceleration of gravity as 10 m/sec2.

2. Repeat question 1 above using the approximate solution treating the impulse as a very
short duration loading where the duration of the impulse is 0.1 seconds.

Homework Equations



The Attempt at a Solution


I have no idea how to start, if someone can just give me steps to follow that would be appreciated.
 
Last edited:
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Welcome to PF!

Can you give us more background? is this an architectural or structural engineering course?

The question seems pretty specialized.
 
jedishrfu said:
Welcome to PF!

Can you give us more background? is this an architectural or structural engineering course?

The question seems pretty specialized.

Thanks!
This question is based on the dynamics of structures under earthquake loading.
 
Is this an undergrad or graduate level?

It helps when we understand where you are at in your studies. Thats why there's the relevant equations section of the template.

Are you using MATLAB or some other engineering tool?

I found this set of course slides that talk about the theory. There maybe something there that will get you started:

http://www.ct.upt.ro/users/AurelStratan/dsis/en-curs01_dsis.pdf

Also have you checked with other students or your book surely there are related problems.
 
Last edited by a moderator:
jedishrfu said:
Is this an undergrad or graduate level?

It helps when we understand where you are at in your studies. Thats why there's the relevant equations section of the template.

Are you using MATLAB or some other engineering tool?

I found this set of course slides that talk about the theory. There maybe something there that will get you started:

http://www.ct.upt.ro/users/AurelStratan/dsis/en-curs01_dsis.pdf

Also have you checked with other students or your book surely there are related problems.

I am at graduate level, we can use MATLAB to solve this, however, this question does not require the use of MATLAB.
Thank you for your post I will check the slides out.
The book hasn't got a similar related problem which is why I don't know how to start
 
Last edited by a moderator:
I found another reference for you googling some of the text in your problem statement:

http://www.arch.virginia.edu/arcade/materials/arch721/dynamics-lab/dynamics-lab-v3.2.pdf

This seems to be a lab where the student has determine the same kinds of things only some steps are provided.
 

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