Problem 59099. Find stiffness of all beams for single floor in building
Create a function that finds this stiffness k of all the beams (also known as 'stanchions') for one floor of a three storey building. The three floors are colour coded here
![](https://lcms-files.mathworks.com/content/images/cf12669d-da95-43ca-b62a-0d7100391f03.png)
A force is applied to the bottom mass to model ground excitation. This causes movement in the other floors. Here the movement of the base has been eliminated in the animation.
![](https://lcms-files.mathworks.com/content/images/23d3e2d9-d871-40b8-99f6-abec5a230fc1.gif)
In order to calculate the overall stiffness k you will need to:
- Model a single spring by finding the stiffness
of a single, doubly built in cantilever using
where Eis Young's Modulus and I is the second moment of area
- Combine the springs into one value of k
You need to:
- Find the beam length for ONE floor L , width b and thickness h in m using the technical drawings in this question.
- Assume the beam is made of steel, and has a Young's modulus of
.
- How many beams are there per floor and are they in series or parallel?
- Ensure the final stiffness is assigned to a variable called k
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