2.1. Introduction

Try these first

1. 1.

   What are the two independent variables in Timoshenko Beam Theory?

   Hint

   Think about how these variables help in beam analysis.

2. 2.

   Define shear strain.

   Hint

   Consider what happens when a beam bends.

3. 3.

   What is the primary distinction between TBT and EBT?

   • TBT introduces shear stress
   • TBT allows for independent rotation and deflection
   • TBT is less accurate than EBT

   Hint

   Focus on what TBT allows that EBT does not.

4. 4.

   True or False: In TBT, shear strain is considered significant only for slender beams.

   • True
   • False

   Hint

   Think about the effects of shear irrespective of beam dimensions.

5. 5.

   A short beam with a triangular load must be analyzed using TBT. Describe how you would approach finding its deflection and sketch the loading diagram.

   Hint

   Sketching the beam with forces will help visualize the problem.

6. 6.

   Given a cantilever beam with uniform loading, derive shear force and bending moment profiles using TBT.

   Hint

   Utilize the governing equations we reviewed.