Practice Double Integration Method (3) - Deflection of Beams - Mechanics of Deformable Solids

Practice: Double Integration Method

Lesson 3Deflection of Beams

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11 questions

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4 cards from this section. Quick, good the night before a test.
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6 questions · about 4 min · pass mark 70%. Hints available.
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5 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define the term 'deflection' in the context of beam theory.
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Think about what happens to a straight line when you apply a load.
Question 2.
What are boundary conditions?
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Consider the constraints you put on the ends of the beam.
3Question 3.
What is the first step in the Double Integration Method?
- Integrate the deflection equation
- Write the bending moment equation
- Apply boundary conditions
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Think about what defines the curvature of the beam.
4Question 4.
True or False: The maximum deflection for a cantilever beam with a point load is given by $\delta_{max} = \frac{PL^3}{3EI}$ .
- True
- False
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Recall the basic formulas derived during our discussions.
Question 5.
Calculate the maximum deflection of a cantilever beam of length 2m with a point load of 50N at the free end. Given: E = 200 GPa, I = 5 × 10^-6 m^4.
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Ensure to convert units appropriately.
Question 6.
For a simply supported beam of length 4m with a load of 80N at the center, calculate the maximum deflection. Given: E = 150 GPa, I = 2 × 10^-5 m^4.
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Check your calculations for accuracy.

7 more questions in this section. Enroll free to practise them all.