5. Computation of Slopes and Deflections

Try these first

1. 1.

   Define beam deflection.

   Hint

   Think about how a beam bends under weight.

2. 2.

   What does the slope of a beam represent?

   Hint

   Consider how steep the beam tilts.

3. 3.

   What is the formula for maximum deflection of a cantilever with a point load?

   • PL³ / 3EI
   • PL³ / 48EI
   • 5wL⁴ / 384EI

   Hint

   Think about the loading conditions.

4. 4.

   Is it true that the Moment Area Method is useful for calculating slope changes?

   • True
   • False

   Hint

   Recall the definitions and applications of the method.

5. 5.

   Given a cantilever beam of length L with a point load P at the free end, calculate the maximum deflection and slope at the fixed end.

   Hint

   Use the provided formulas carefully.

6. 6.

   For a simply supported beam with length L and uniform load w, calculate the deflection in the middle using the formula derived.

   Hint

   Remember your integration results for this loading case.