Question

A uniform steel column is pinned at both ends. Its length is 400 mm and the diameter of circular cross section is 25 mm. Then the column is a

Answer 1

Answer:

Radius of Gyration=√I/A= √πD4/64/πd2/4=d/4=25/4 mm

Slenderness Ratio = Equivalent Lenght/Radius of Gyration = 400/25/4 = 400/25 x 4 = 64 <100

Hence Column is Intermediate column.

Answer 2

Answer:

The column will be an Intermediate column.

Explanation:

The general definition of the radius of Gyration is the distance from a body's center of mass at which the entire mass might be concentrated without modifying the body's moment of rotational inertia about the axis through the center of mass.

The radius of Gyration =$\sqrt{I}$/A

= $\sqrt{\pi }$D₄/64/πd₂/4

= d/4

= 25/4 mm

The length to gyration radius ratio, denoted as l/k, is the definition of the slenderness ratio.

Slenderness Ratio = Equivalent Lenght/Radius of Gyration

= 400/25/4

= 400/25 × 4

= 64 <100

Therefore, the column is the Intermediate column.

Thus, the distance between points of a column that are not maintained against lateral deflection is its length.