2.2. Example 2

Try these first

1. 1.

   What is a simply supported beam?

   Hint

   Think about what happens when a beam is simply supported.

2. 2.

   Define a distributed load.

   Hint

   Imagine evenly spread out weight on a beam.

3. 3.

   What is the defining characteristic of a simply supported beam?

   • It can hold bending moments
   • It has rigid supports
   • It is free to rotate at its ends

   Hint

   Think about what a simply supported beam allows.

4. 4.

   True or False: Distributed loads can be converted into equivalent point loads for analysis.

   • True
   • False

   Hint

   Consider how loads act over distances.

5. 5.

   Derive the deflection equation for a simply supported beam under a triangular distributed load that increases linearly from zero to 'w' at the free end.

   Hint

   Start with the fundamental equations for moment and use integration to find deflection.

6. 6.

   A simply supported beam is subjected to a varying distributed load. Describe how you would analyze the shear and moment across the beam.

   Hint

   What steps do you take to find equivalent loads and moments along the lengths?