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This mock test of Test: Relation Between Distributed Load, Shear And Moment for Mechanical Engineering helps you for every Mechanical Engineering entrance exam.
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QUESTION: 1

The determination of the internal loading in the beams is usually done so as to ______________

Solution:

The determination of the internal forces in the beam is done so as to design the beams as in the application purpose the beams will be subjected to many loads. This will help us to make the beam properly. And also this will ensure that the beams will not break after the loading is done on them. For this another method is the distribution load method.

QUESTION: 2

The slope of the shear diagram is equal to__________

Solution:

After the application of the force equation of equilibrium to the segment of the beam, we have the above result. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

QUESTION: 3

The shear diagram will jump downward if the _________________

Solution:

After the application of the force equation of equilibrium to the segment of the beam, we have the above result. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

QUESTION: 4

Change in the shear is equal to ____________

Solution:

After the application of the force equation of equilibrium to the segment of the beam, we have the above result. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

QUESTION: 5

The internal loading can be found by ________________________

Solution:

The determination of the internal forces is done by various methods among which the distribution of load method is the one. Also we have method of joints, which is done so as to determine the internal forces which are being developed in the trusses or the frames. This is done as to design them. In this method the loading acting upward is considered to be positive.

QUESTION: 6

The equation of change in moment equals area under shear diagram is not applied when_________

Solution:

As this is done with the help of distributed load method thus when a couple moment this equation act is not valid. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

QUESTION: 7

Slope of the moment diagram is equal to _________

QUESTION: 8

The change in moment is equal to _________

QUESTION: 9

In the making of the shear force diagram or the bending moment diagrams, one method is used, distributed load. In this the distributed load will be considered positive if ____________

Solution:

The loading acting upward is considered to be positive. This is done as to decrease the time used for the calculations. If the method of sections is being applied at the complex sections for the determination of the unknown forces, much time is required for it. Thus the main motto is to make the calculations easy and make the less use of time.

QUESTION: 10

Determine the shear force of the beam shown.

Solution:

The loading acting upward is considered to be positive. This is done as to decrease the time used for the calculations. If the method of sections is being applied at the complex sections for the determination of the unknown forces, much time is required for it. Thus the main motto is to make the calculations easy and make the less use of time.

QUESTION: 11

The shear diagram will jump upwards if there is __________

QUESTION: 12

The equation of change in moment equals area under shear diagram is not applied when?

Solution:

As this is done with the help of distributed load method thus when a concentrated load is applied this equation is not valid. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

QUESTION: 13

The couple in the beam is simplified easily by the help of right hand rule. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

Solution:

Both of them are vector quantities. And both of them can be easily simplified. If taken in the vector form then the task is even easier. Thus it is not necessary for the force or the couple to be vector only, even if the magnitude is taken, the simplification is done in the 2D. Forces are simplified on the basis of the algebra.

QUESTION: 14

The couple moment and the force is divided to get the distance of the axis from the point of action of the force.

Solution:

The couple is the cross product of the force and the perpendicular distance between the forces. And if the division of the both is done than the resulting quantity is the distance only. But care must be taken that the product is the cross product and hence sine angle must be divided too to get the distance.

QUESTION: 15

What is the bending moment at end supports of a simply supported beam?

Solution:

At the end supports, the moment (couple) developed is zero, because there is no distance to take the perpendicular acting load. As the distance is zero, the moment is obviously zero.

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