Practice Theorem I - 6.1 | Deflection of Beams | Mechanics of Deformable Solids
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does EI stand for in the context of beam analysis?

πŸ’‘ Hint: Consider the properties affecting the beam's stiffness.

Question 2

Easy

State the relationship outlined in Theorem I.

πŸ’‘ Hint: Think of how changes in slope relate to the diagram.

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Interactive Quizzes

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

Question 1

What does Theorem I state?

  • Slope change equals area under moment diagram
  • Deflection equals area under moment diagram
  • Both are the same

πŸ’‘ Hint: Remember what relates slope to moment diagrams.

Question 2

The Moment Area Method is primarily used for what purpose?

  • True
  • False

πŸ’‘ Hint: Think about the advantages of this method.

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Challenge Problems

Push your limits with challenges.

Question 1

For a cantilever beam of length 5m subjected to a triangular load tapering from the fixed end, find the change in slope between the free end and the fixed support using Theorem I.

πŸ’‘ Hint: First calculate the total load then derive the moment equation.

Question 2

Evaluate the maximum deflection of a simply supported beam with a uniformly distributed load using Theorem I and compare it with the standard formula.

πŸ’‘ Hint: Break the problem into steps by calculating load and distance first.

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