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Test: Radius Of Gyration Of An Area - Mechanical Engineering MCQ


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14 Questions MCQ Test - Test: Radius Of Gyration Of An Area

Test: Radius Of Gyration Of An Area for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Radius Of Gyration Of An Area questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Radius Of Gyration Of An Area MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Radius Of Gyration Of An Area below.
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Test: Radius Of Gyration Of An Area - Question 1

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 __________

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 1

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.

Test: Radius Of Gyration Of An Area - Question 2

The radius of gyration is related to moment of the body. So the calculation of the moment of the body due to the loadings involve a quantity called ____________

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 2

The calculation of the moment of the body due to the loadings involve a quantity called moment of inertia. This is having much significance in the various fields in the engineering sector. The main types are the ‘I’ section structures which are being much used.

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Test: Radius Of Gyration Of An Area - Question 3

Find the moment of the force about the point R.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 3

As we know that the moment is the cross product of the distance and the force we will try to apply the same here. We see that the perpendicular distance is 5m. Thus we get the distance. And hence multiply it with the force, 5x2000xsin30. Because the force component perpendicular to the distance need to be taken.

Test: Radius Of Gyration Of An Area - Question 4

How far from the shaft at P a 200N vertical force must act so as to create the same moment as produced by the 75N, at P?

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 4

As we know that the moment is the cross product of the distance and the force we will try to apply the same here. So let the distance be y, then the force of 200N will act downward. The distance perpendicular is xcos60. Thus equating the 112.5 to 200ycos60.

Test: Radius Of Gyration Of An Area - Question 5

Moment of Inertia is the integration of the square of the distance of the centroid and the del area along the whole area of the structure and this moment is at a distance from the rotating axis, known as radius of gyration.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 5

The moment of inertia of the section is the integration of the square of the distance of the centroid and the del area along the whole area of the structure. This is having much significance in the various fields in the engineering sector. The main types are the ‘I’ section structures which are being much used.

Test: Radius Of Gyration Of An Area - Question 6

There is perpendicular axis theorem for the calculation of radius of gyration.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 6

There is no perpendicular axis theorem for the radius of gyration. In spite there is the theorem as parallel axis for any area. Thus we have the theorem which is used to add the two mutually perpendicular moment of inertias.

Test: Radius Of Gyration Of An Area - Question 7

Radius of gyration is indirectly to the parallel axis theorem. The parallel axis theorem gives the moment of inertia ______________ to the surface of considesrance.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 7

Parallel axis for any area is used to add the two mutually perpendicular moment of inertias for areas. It gives a moment of inertia perpendicular to the surface of the body. That is the moment of inertia perpendicular to the surface in considerance.

Test: Radius Of Gyration Of An Area - Question 8

The parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia and the radius of gyration can be calculated.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 8

Parallel axis for any area is used to add the two mutually perpendicular moment of inertias for areas. It gives a moment of inertia perpendicular to the surface of the body. That is the moment of inertia perpendicular to the surface in considerance.

Test: Radius Of Gyration Of An Area - Question 9

As radius of gyration is indirectly to the parallel axis theorem, parallel axis theorem uses the ____________ of the distance.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 9

Parallel axis for any area is used to add the two mutually perpendicular moment of inertias for areas. It gives a moment of inertia perpendicular to the surface of the body. And uses the square of the distance from the axis of rotation.

Test: Radius Of Gyration Of An Area - Question 10

The distance in the parallel axis theorem is multiplied by:

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 10

Parallel axis for any area is used to add the two mutually perpendicular moment of inertias for areas. It gives a moment of inertia perpendicular to the surface of the body. And uses the square of the distance from the axis of rotation multiplied by the area.

Test: Radius Of Gyration Of An Area - Question 11

One of the use of the centre of mass or centroid is as in the radius of gyration is that the net force acts at the ___________ of the loading body.

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 11

In the moment of inertia calculations we see that the net force acts at the centroid of the loading body. That is if the loading system is in the form of the triangle then the at the distance 2 by 3 of the base the net force of the loading will act. And the load will be half the area of the loading.

Test: Radius Of Gyration Of An Area - Question 12

If the non-Uniform loading is of the type of parabola then for calculating the radius of gyration?

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 12

The net force will act at the centroid of the parabola. Whether it be a parabola or the cubic curve the centroid is the only point at which the net force act. Force can’t be acted horizontally if the loading is vertical. Hence whatever be the shape of the loading, the centroid is the point of action of net force. Thus the use of centroid.

Test: Radius Of Gyration Of An Area - Question 13

If any external force also is applied on the structure and we are determining radius of gyration then what should we consider?

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 13

The external forces are treated differently. They are not added by the force of the distributed loading. That is the force not only acts at the centroid always. It can be shifted also. Depending on the external forces. Thus the use of centroid or centre of mass.

Test: Radius Of Gyration Of An Area - Question 14

The body is sometimes acted by two or three force members and we need to find radius of gyration for the same. The difference between the two and the three force members is:

Detailed Solution for Test: Radius Of Gyration Of An Area - Question 14

The definition of the two force member only defines that the forces are being acted on the two points on the body. So does is the definition of the three forces members. The points of action of the three forces are three.

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