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7.41 two channels are welded to a rolled w section, as shown. determine the moments of inertia and the radii of gyration of the combined section with respect to the centroidal x and y axes.

Sagot :

When the two channels are welded to a rolled w section, the radius of gyration will be,

Radius of the gyration on the X-axis will be -

[tex]K_{X}[/tex] = 4 in

Radius of the gyration on the Y-axis will be -

[tex]K_{Y}[/tex] = 2.54 in

What is Radius of Gyration?

A body's radius of gyration, or gyradius, is always centered on an axis of rotation. It is defined as the spiral distance to a point with a moment of inertia. A rigid body's radius of gyration is a geometric property. Consider the center of mass. It is analogous to the body's actual mass dissemination. If the entire body's mass is concentrated.

In physics, the radius of gyration refers to the technique for dispersing various segments of the item present around an object in material science. The radius of gyration is the perpendicular distance taken from the rotational axis to an explicit point of mass when viewed in terms of the moment of inactivity.

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