Practice Theorem Ii (6.2) - Deflection of Beams - Mechanics of Deformable Solids

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8 questions

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6 sample questions

Question 1.
What does the M in the M/EI diagram represent?
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Think about internal forces acting on the beam.
Question 2.
In Theorem II, what does EI stand for?
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It relates to how stiff a beam is under loading.
3Question 3.
What does Theorem II state about deflection?
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Focus on how areas correspond to changes in deflection.
4Question 4.
True or False: The bending moment has no impact on beam deflection.
- True
- False
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Reflect on the role of external forces on deflections.
Question 5.
A cantilever beam of length L is loaded with a triangular load varying from 0 to w. Calculate the deflection at the free end using Theorem II.
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Break down the loads and analyze segments independently.
Question 6.
For two points along a simply supported beam with varying moment, show how to apply Theorem II to find deflection between those two points.
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Keep in mind that the area must be segmented accurately.

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