Practice Governing Equation Of The Elastic Curve (2) - Deflection of Beams

Practice: Governing Equation of the Elastic Curve

Lesson 2Deflection of Beams

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does the variable 'E' represent in the governing equation of the elastic curve?
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Think about how materials respond to stress.
Question 2.
Write down the governing equation of the elastic curve.
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It's composed of deflection, bending moment, E, and I.
3Question 3.
What is the governing equation of a beam's deflection?
- \\( \\frac{d^2y}{dx^2} = \\frac{M(x)}{EI} \\)
- y = mx + b
- F = ma
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Look for the equation that includes the second derivative.
4Question 4.
True or False: Young's modulus is a measure of a material's stiffness.
- True
- False
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Think about how stiff materials behave under load.
Question 5.
A simply supported beam of length 8 m carries a central point load of 2000 N. Calculate the maximum deflection using the governing equation.
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Ensure you have the correct units when calculating.
Question 6.
A cantilever beam of length 5 m is subjected to a uniformly distributed load of 500 N/m. Find the deflection at the free end.
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Use the UDL formula and identify the constants correctly from the description.

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