Problem 59099. Find stiffness of all beams for single floor in building

  • Created by IFM
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
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.
In order to calculate the overall stiffness k you will need to:
  1. Model a single spring by finding the stiffness K subscript zero of a single, doubly built in cantilever using where Eis Young's Modulus and I is the second moment of area
  2. 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
Solve

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100.0% Correct | 0.0% Incorrect
Last Solution submitted on Jun 19, 2024

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