Practice Common Support Conditions - 3.1 | Deflection of Beams | Mechanics of Deformable Solids
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3.1 - Common Support Conditions

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a simply supported beam.

πŸ’‘ Hint: Think about how it is supported.

Question 2

Easy

What does a cantilever beam's fixed end imply?

πŸ’‘ Hint: Consider the definition of a fixed beam.

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 is the maximum deflection formula for a cantilever beam?

  • PLΒ³ / 3EI
  • PLΒ³ / 48EI
  • 5wL^4 / 384EI

πŸ’‘ Hint: Recall the specific conditions of cantilevers.

Question 2

True or False: A simply supported beam can have non-zero deflection at the supports.

  • True
  • False

πŸ’‘ Hint: Consider the definition of simply supported beams.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A simply supported beam of length 10m carries a central load of 5000N. Calculate the maximum deflection and discuss implications for safety.

πŸ’‘ Hint: Check the beam dimensions and properties.

Question 2

Given a cantilever beam with a length of 8m and a load of 2000N at the free end, derive the support force and bending moment at the fixed end.

πŸ’‘ Hint: Remember the equations of equilibrium.

Challenge and get performance evaluation