2.2. Finding buckling load

Try these first

1. 1.

   Define buckling in structural engineering.

   Hint

   Think about beams under compressive forces.

2. 2.

   What theory do we use to find the buckling load of a long beam?

   Hint

   It's the theory that neglects shear effects.

3. 3.

   What happens to a beam when it exceeds the critical buckling load?

   • It stays straight
   • It bends suddenly
   • It cracks

   Hint

   Think about the definition of buckling.

4. 4.

   True or False: A longer beam requires a greater load to buckle than a shorter beam.

   • True
   • False

   Hint

   Remember the inverse square relationship.

5. 5.

   A beam with a bending stiffness EI = 5 N·m² is 2 meters long. Calculate the critical buckling load.

   Hint

   Don’t forget to square the length in the denominator.

6. 6.

   A column fixed at one end and free at the other needs to support a load without buckling. If its length is 3 m and it has a bending stiffness of 10 N·m², what is the maximum load it can support?

   Hint

   Remember that the factor π² will influence the load significantly.