E.M 9.4 Moments of Inertia for an Area About Inclined Axis –

If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas inclined at an axis?

• The net load will not be formed as all the forces will be cancelled

• The net force will act the centre of the parabola

• The net force will act on the base of the loading horizontally

• The net force will act at the centroid of the parabola

Determine the orientation of the principle axis for the cross section of area of member shown whose width is 100mm.

• 57.1˚

• 5.1˚

• 7.1˚

• 52.1˚

The product of Inertia for an area is required so as to__________

• Determine Maximum moments of inertia for an Area

• Determine Maximum moments of inertia for a Line

• Determine Maximum moments of inertia for a Volume

• Determine Maximum moments of inertia for a Rectangle

Moment of Inertia about an inclined axis is the integration of the square of the distance of the centroid and the del area along the whole area of the structure and after this calculations, we multiply the moment of areas.

• True

• False

The product of moment of inertia is the sum of _____________ and _________________ it can be used in the calculations of moments of inertia for an area about inclined axis.

• Area and volume

• Volume and linear distance

• Moment of inertia at centroid and the product of the area and del dx and del dy

• Moment of inertia at base and the product of the area and del dx and del dy

There is perpendicular axis theorem for the area, and it is can be used to determine the moment of inertia of an area about inclined axis.

• True

• False

If any external force also is applied on the structure and we are determining the moment of inertia for areas about inclined axis then what should we consider?

• The net force will act at the centroid of the structure only

• The net load will not be formed as all the forces will be cancelled

• The net force will act on the base of the loading horizontally

• The net force will not to be considered, there would be a net force of the distribution, rest will be the external forces

Determine the magnitude of the principle moment of inertia for the cross section of area of member shown whose width is 100mm.

• $7.54\times10^{9\ }mm^2$

• $54\times10^{9\ }mm^2$

• $3.4\times10^{9\ }mm^2$

• $1.54\times10^{9\ }mm^2$

The calculation of moment of inertia about inclined axis due to the loadings involve a quantity called ____________

• Moment

• Inertia

• Moment of inertia

• Rotational

Whenever the distributed loading acts perpendicular to an area its intensity varies __________ for the determination of moment of inertia about the inclined axis.

• Linearly

• Non-linearly

• Parabolically

• Cubically