40.5. Distribution of Base Shear along Height

Try these first

1. 1.

   What is base shear?

   Hint

   Think about forces acting on structures.

2. 2.

   Why do we square the height (hᵢ) in the formula?

   Hint

   Consider how weight affects structures.

3. 3.

   What is the base shear in an earthquake?

   • The total weight of the building
   • The total lateral force at the base
   • The seismic weight of the top floor

   Hint

   This force is crucial for designing earthquake-resistant buildings.

4. 4.

   True or False: The distribution of base shear is the same for all floors in a building.

   • True
   • False

   Hint

   Consider how forces change with elevation.

5. 5.

   You are designing a 5-story building with a total seismic weight of 10,000 kg. If the weights at each of the floors are 2000 kg, 2500 kg, 3000 kg, 1500 kg, and 1000 kg with heights of 3m, 6m, 9m, 12m, and 15m respectively, calculate the base shear acting on each floor.

   Hint

   Make sure to sum weights and utilize the squaring in heights.

6. 6.

   A new 10-story structure is constructed but the architect doesn't take height into account while designing. Predict the potential consequences of this oversight during an earthquake.

   Hint

   Reflect on how load distribution works in multi-level buildings.