1.3. Example

Try these first

1. 1.

   Define a cantilever beam.

   Hint

   Think about where the beam is supported.

2. 2.

   What does shear force cause?

   Hint

   Relate this to how beams respond to loads.

3. 3.

   What is the primary advantage of Timoshenko Beam Theory over Euler-Bernoulli Theory?

   • It considers only bending.
   • It includes shear deformation.
   • It's simpler to use.

   Hint

   Think about when shear becomes significant.

4. 4.

   True or False: A cantilever beam can loosely be defined as a beam that is supported on both ends.

   • True
   • False

   Hint

   Consider the definition of a cantilever.

5. 5.

   A cantilever beam of length L is loaded with a force P at the free end. Using Timoshenko Beam Theory, derive the deflection equation.

   Hint

   Don't forget to consider both moments and shear at the fixed end.

6. 6.

   Compare the deflection of a cantilever beam from both TBT and EBT when subjected to the same load, and determine the conditions under which each theory applies.

   Hint

   Use a diagram to illustrate how loads affect C and D in the two theories.