Question:
A beam of metal supported at the two ends is loaded at tlie centre. The depression at the centre is proportional to
A beam of metal supported at the two ends is loaded at tlie centre. The depression at the centre is proportional to
Updated On: Jul 28, 2022
- $ {{Y}^{2}} $
- $ Y $
- $ \frac{1}{Y} $
- $ \frac{1}{{{Y}^{2}}} $
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The Correct Option is C
Solution and Explanation
Depression in the beam at the middle due to load W is $ \delta =\frac{W{{l}^{3}}}{4Yb{{d}^{3}}}, $ or $ \delta \propto \frac{1}{Y} $
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Concepts Used:
Free body diagram
The diagrams that are used to show the relative magnitude and direction of all forces acting upon an object in a given situation are called free-body diagrams.
The free-body diagram above represents 4 forces acting upon the object. Certainly, objects do not always have four forces acting upon them. There will be cases in which the number of forces outlined by a free-body diagram will be 1, 2, or 3. There should be no hard and fast rule about the number of forces that has to be drawn during a free-body diagram.