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In the calculation of the radius of gyration, we use intensity of loadings. So whenever the distributed loading acts perpendicular to an area its intensity varies __________

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In the calculation of the radius of gyration, we use intensity of loadings. So whenever the distributed loading acts perpendicular to an area its intensity varies __________

(a) Linearly

(b) Non-Linearly

(c) Parabolically

(d) Cubically

This question was posed to me in an interview for internship.

Question is taken from Radius of Gyration of an Area topic in section Moments of Inertia of Engineering Mechanics

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Right answer is (a) Linearly

Easiest explanation: The load intensity is varying linearly in the structures. Thus the intensity is not varying parabolically nor is it cubically. It cannot be a vector also. Thus the intensity is linearly varied.

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