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The intensity of bending stress in the cross section at any point distance y from the neutral axis is proportional to (l is moment of inertia)
  • a)
    l/y
  • b)
    1. y
  • c)
    y
  • d)
    1/y2
Correct answer is option 'C'. Can you explain this answer?
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The intensity of bending stress in the cross section at any point dis...


Explanation:

Bending Stress in a Cross Section:
When a beam is subjected to bending, the stress distribution across its cross section is not uniform. The stress is highest at the outermost fibers and decreases towards the neutral axis.

Proportional Relationship:
The intensity of bending stress at any point distance y from the neutral axis is proportional to the distance y itself. This means that as we move further away from the neutral axis, the bending stress increases proportionally.

Mathematical Representation:
The relationship can be expressed as:
Bending Stress ∝ y

Applying Proportionality Constant:
To convert the proportional relationship into an equation, we introduce a constant of proportionality. This constant is dependent on the material properties and the beam's geometry.

Final Equation:
Therefore, the intensity of bending stress in the cross section at any point distance y from the neutral axis can be represented as:
Bending Stress = k * y

Conclusion:
In conclusion, the intensity of bending stress in a beam's cross section is directly proportional to the distance from the neutral axis. This relationship is crucial in analyzing and designing structures to ensure they can withstand bending loads effectively.
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The intensity of bending stress in the cross section at any point dis...
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The intensity of bending stress in the cross section at any point distance y from the neutral axis is proportional to (l is moment of inertia)a) l/yb) 1. yc) yd) 1/y2Correct answer is option 'C'. Can you explain this answer?
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