Bending moment in an axis doesn´t match

In summary, the conversation is discussing the results obtained using moment equilibrium and the difficulty in matching them. The forces applied by the gears in force-pounds are located at the sides of the thickest part of the axle, with distances in inches specified. To obtain accurate results, it is necessary to analyze the x-y axis and z-x axis, using reactions in the bearings (Raz, Ray, Rbz, and Rby) to obtain shear force and bending moment diagrams. The speaker is having trouble determining the values in the bending moment diagrams. They also inquire about the constant torque in the torsion diagram despite changes in the circular section. They ask for clarification on whether torsional moments, shears, or bending moments would change in a
  • #1
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Hey guys, first of all, this isn't a homework question, I just want to know why the results are what they are. I've been trying t obtain the same numbers using moment equilibrium but they still don't match. This is the example:

upload_2016-7-9_23-33-15.png

W are the forces applied by the gears in force-pounds. The gears are located at the sides of the thickest part of the axle which is the diameter D4. The distances in inches are located below where the letters are.
upload_2016-7-9_23-38-22.png

To obtain the graphs analysing x-y axis and z-x axis is necessary. The reactions in the bearings are Raz, Ray, Rbz and Rby. These are used to obtain the shear force diagrams and the bending moment diagrams. I'm unable to obtain the values in the bending moment diagrams. Also, if you could tell me why the torsion diagram (the first one above with the number 3240 on it) says torque is constant despite the change in the circular section I would really appreciate it.
Thank you guys!
 

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  • #2
Why would you expect torsional moments to change at a change in cross section? Would you expect shears or bending moments to change?
Please explain your difficulty in determining moments from the shear diagram.
 

1. What is bending moment in an axis?

Bending moment in an axis refers to the measure of the internal forces and stresses acting on an object when it is subjected to an external load or force. It represents the amount of force that causes an object to bend or twist.

2. How is bending moment in an axis calculated?

Bending moment is calculated by multiplying the external force or load by the distance from the point of application of the force to the axis of rotation. It is measured in units of force multiplied by distance, such as newton-meters (N*m) or pound-feet (lb*ft).

3. Why does the bending moment in an axis not match in certain situations?

The bending moment in an axis may not match in certain situations due to a number of factors such as varying external forces, uneven distribution of load, and structural irregularities. Additionally, if the object is not perfectly rigid, it may experience slight deformations which can affect the bending moment.

4. How does the bending moment in an axis affect the stability of an object?

The bending moment in an axis can significantly impact the stability of an object. If the bending moment is greater than the object's resistance to bending, it may cause the object to deform or even collapse. However, if the object is designed to withstand the bending moment, it can maintain its stability and structural integrity.

5. How can the bending moment in an axis be minimized?

To minimize the bending moment in an axis, the external forces and load on the object can be redistributed to create a more even distribution of forces. Additionally, using stronger and more rigid materials can increase the object's resistance to bending. Proper design and structural analysis can also help minimize bending moment in an axis.

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