32.3.3. Construction of Response Spectra

Try these first

1. 1.

   Define the term 'Response Spectrum'.

   Hint

   Think about what a response spectrum plots on a graph.

2. 2.

   What does SDOF stand for?

   Hint

   Consider how many degrees of freedom a simple model has.

3. 3.

   What does the response spectrum plot?

   • Spectral values against time
   • Structural responses against natural period
   • Damping ratios against seismic forces

   Hint

   Consider what we analyze when examining structural behavior.

4. 4.

   True or False: Damping ratio has no effect on the response spectrum.

   • True
   • False

   Hint

   Think about how energy dissipation affects the structure's motion.

5. 5.

   Consider a building with a natural period of 0.5 seconds subjected to a given seismic event. Calculate its spectral response if the spectral acceleration for 0.5 seconds is known to be 1.2g. Determine peak force experienced.

   Hint

   Ensure you have the mass of the building to complete the calculation.

6. 6.

   If a structure has varying damping ratios of 5% and 20%, how would these ratios affect the spectral acceleration? Provide a scenario considering real structural dimensions.

   Hint

   Refer to the generated spectra curves and compare their peak response values.