6.2. Theorem II

Try these first

1. 1.

   What does the M in the M/EI diagram represent?

   Hint

   Think about internal forces acting on the beam.

2. 2.

   In Theorem II, what does EI stand for?

   Hint

   It relates to how stiff a beam is under loading.

3. 3.

   What does Theorem II state about deflection?

   Hint

   Focus on how areas correspond to changes in deflection.

4. 4.

   True or False: The bending moment has no impact on beam deflection.

   • True
   • False

   Hint

   Reflect on the role of external forces on deflections.

5. 5.

   A cantilever beam of length L is loaded with a triangular load varying from 0 to w. Calculate the deflection at the free end using Theorem II.

   Hint

   Break down the loads and analyze segments independently.

6. 6.

   For two points along a simply supported beam with varying moment, show how to apply Theorem II to find deflection between those two points.

   Hint

   Keep in mind that the area must be segmented accurately.