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

4 - Common Loading Cases (with known formulas)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Consider what happens to deflection when the load is applied at the end.

Question 2 Easy

What is UDL?

💡 Hint: Think about how weight is applied along the beam.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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

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

💡 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

💡 Hint: Think about how weight distribution works.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Ensure units are consistent!

Challenge 2 Hard

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.

💡 Hint: Pay attention to unit conversions!

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Reference links

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