8. DEFLECTION of STRUCTRES; Geometric Methods

Try these first

1. 1.

   What is deflection in structures?

   Hint

   Think about what happens when a beam bends.

2. 2.

   Define curvature in the context of this chapter.

   Hint

   It relates to the bending of beams.

3. 3.

   What is the maximum allowable deflection for a beam according to the serviceability requirement?

   • L/240
   • L/360
   • L/480

   Hint

   Recall the limits discussed in this section.

4. 4.

   True or False: Curvature is unaffected by the material properties of a beam.

   • True
   • False

   Hint

   Think about the influence of elasticity.

5. 5.

   A simply supported beam of length L carries a uniformly distributed load w. Derive the equation for maximum deflection.

   Hint

   Break down the integration steps we've discussed.

6. 6.

   In a cantilever beam with length L subjected to a point load P at its free end, find the mid-point deflection using the derived equations.

   Hint

   Explore the fundamental formulas we covered.