Practice Common Loading Cases (with known formulas) - 4 | Deflection of Beams | Mechanics of Deformable Solids
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4 - Common Loading Cases (with known formulas)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for maximum deflection of a cantilever beam with a point load?

πŸ’‘ Hint: Consider what happens to deflection when the load is applied at the end.

Question 2

Easy

What is UDL?

πŸ’‘ Hint: Think about how weight is applied along the 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 for a cantilever beam with point load?

  • PL^2 / (2E)
  • PL^3 / (3EI)
  • PL^4 / (4EI)

πŸ’‘ Hint: Focus on the role of the load and support.

Question 2

True or False: UDL causes more deflection than a point load of the same total weight.

  • True
  • False

πŸ’‘ Hint: Think about how weight distribution works.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A cantilever beam of length 5m is subjected to a point load of 1200N at the free end. Calculate the maximum deflection. Given: E = 210 GPa, I = 5000 cm^4.

πŸ’‘ Hint: Ensure units are consistent!

Question 2

A simply supported beam with length 6m and UDL of 250N/m results in deflection. What are the maximum deflections? Given: E = 210 GPa, I = 6000 cm^4.

πŸ’‘ Hint: Pay attention to unit conversions!

Challenge and get performance evaluation