Practice Eccentricity and Moment - 5.2 | Column Buckling | Mechanics of Deformable Solids
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5.2 - Eccentricity and Moment

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Think about how forces interact when applied off-center.

Question 2

Easy

Define eccentricity in relation to loading on a column.

πŸ’‘ Hint: Consider where the load's acting point is vs. the center.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does eccentric loading cause in a column?

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

πŸ’‘ Hint: Recall the definition of eccentric loading.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Consider the effects of a load applied off-center.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

πŸ’‘ Hint: Break the problem into parts, finding P/A and M/I separately.

Question 2

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.

πŸ’‘ Hint: Visualize how the diameter or cross-section affects the moment of inertia.

Challenge and get performance evaluation