2. Buckling of Beams

Try these first

1. 1.

   Define buckling in the context of beam theory.

   Hint

   Think about what happens when you push down on a long stick.

2. 2.

   What is the buckling load?

   Hint

   Consider why machines need to avoid this value in design.

3. 3.

   What is buckling?

   • Sudden bending of a beam
   • Stretching of a beam
   • Shearing of a beam

   Hint

   It happens rather than crushing.

4. 4.

   True or False: The buckling load is the same for all beams of any length.

   • True
   • False

   Hint

   Consider how longer beams behave differently.

5. 5.

   Given a beam with a rectangular cross-section (width = 0.1 m, height = 0.2 m), and Young's modulus = 70 GPa, calculate the buckling load for a length of 1.5 m. Assume the shape is solid.

   Hint

   Calculate the moment of inertia first.

6. 6.

   In a practical application, a column is constrained at both ends. If a load of 5000 N is applied, discuss whether it would buckle based on the derived buckling load.

   Hint

   Review the conditions for clamped columns.