3.1. Effective Length Table

Try these first

1. 1.

   What is the effective length of a pinned-pinned column?

   Hint

   Think about the direct length of the column.

2. 2.

   How is the effective length of a fixed-fixed column defined?

   Hint

   Remember that fixed conditions increase stability.

3. 3.

   What is the effective length of a fixed-fixed column?

   • L
   • 2L
   • 0.5L

   Hint

   Remember the characteristic of fixed ends.

4. 4.

   True or False: A cantilever column has an effective length equal to its original length.

   • True
   • False

   Hint

   Think about how stability is affected.

5. 5.

   A 10-foot high column is fixed at one end and pinned at the other. Calculate its effective length and critical load using Euler’s formula.

   Hint

   Remember to convert units correctly and use proper values for E and I.

6. 6.

   Determine the effective lengths of a 20-foot column under different end conditions: pinned-pinned, fixed-pinned, and fixed-fixed. Discuss implications for design.

   Hint

   Use the formulas for effective lengths provided in your notes.