Question

a circular column of diameter 200 mm has radius of gyration​

Answer 1

Answer:

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Answer 2

Given:

A circular column of diameter = 200mm

To Find:

Radius of gyration.

Solution:

Diameter of circular column = 200mm

Radius of circular column = 200/2 = 100mm

Now,

Moment of inertia (I) of circular column along its axis = πr²/4

Area of circular column, A = πr²

Radius of gyration, k = square root of ratio of moment of inertia and area of the circular column.

therefore,

k = $\sqrt{I} /\sqrt{A}$

k = $\sqrt{\pi r^{2}/4/\pi r^{2}$

k = $\sqrt{1/4}$

k = 1/2 = 0.5mm

Hence the radius of gyration of circular column is 0.5 mm.