5.2. Eccentricity and Moment

Try these first

1. 1.

   What happens to the stress in a column when it is eccentrically loaded?

   Hint

   Think about how forces interact when applied off-center.

2. 2.

   Define eccentricity in relation to loading on a column.

   Hint

   Consider where the load's acting point is vs. the center.

3. 3.

   What does eccentric loading cause in a column?

   • It redistributes the load evenly.
   • It introduces bending stress.
   • It prevents buckling.

   Hint

   Recall the definition of eccentric loading.

4. 4.

   True or False: Eccentric loading has no effect on a column's stability.

   • True
   • False

   Hint

   Consider the effects of a load applied off-center.

5. 5.

   A column with a length of 3 m is pinned at both ends and subjected to a central load of 1500 N and an eccentric load at 0.5 m from the centroid causing a moment of 100 Nm. Calculate the total stress experienced on the extreme fiber.

   Hint

   Break the problem into parts, finding P/A and M/I separately.

6. 6.

   Design a column that can safely carry an axial load of 2000 N and an eccentric load that creates a moment of 200 Nm, ensuring that the bending stress does not exceed 160 MPa. Determine the necessary moment of inertia.

   Hint

   Visualize how the diameter or cross-section affects the moment of inertia.