What is the critical load for a column with effective length L and modulus of el

Practice Questions

Q1
What is the critical load for a column with effective length L and modulus of elasticity E?
  1. π²EI/L²
  2. EI/L²
  3. 4EI/L²
  4. 2EI/L

Questions & Step-by-Step Solutions

What is the critical load for a column with effective length L and modulus of elasticity E?
  • Step 1: Understand that the critical load (P_cr) is the maximum load a column can support before it buckles.
  • Step 2: Identify the formula for critical load, which is P_cr = π²EI/L².
  • Step 3: Recognize that 'E' represents the modulus of elasticity, a measure of how stiff the material is.
  • Step 4: Note that 'L' is the effective length of the column, which is the length that affects its stability.
  • Step 5: Substitute the values of E and L into the formula to calculate the critical load.
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