Maximum bending moment and maximum deflection of the spring?

In summary, the conversation discusses finding the maximum bending moment and maximum deflection for a spring, specifically a coil spring that is placed on a table and loaded in compression. It is noted that the spring is calculated for torsion and formulas for this can be found in various sources. The conversation also clarifies that the units of [N.m] or [lbf.ft] may be misleading as they are typically used for torsional loading rather than bending.
  • #1
metalsunsuccess1
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TL;DR Summary
How do I find the maximum bending moment and maximum deflection of the spring?
How can I find the maximum bending moment and maximum deflection for a spring?

It would be very helpful if you could explain the specific procedure and formula in an easy-to-understand manner.

that's all, thank you very much.
 
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  • #2
What kind of spring is this?
 
  • #3
Thank you for your reply.

This assumed mechanical spring is a coil spring, and the lower part is placed on a table (not fixed), and a concentrated load is applied from above in the compression direction.

Thank you.
 
  • #4
metalsunsuccess1 said:
Thank you for your reply.

This assumed mechanical spring is a coil spring, and the lower part is placed on a table (not fixed), and a concentrated load is applied from above in the compression direction.

Thank you.

So how is there a "bending moment"? The loading you described wouldn't produce one.

The "maximum deflection" of a compression coil is when the clearance between the coils is zero.
 
  • #5
Helical springs subjected to compression are calculated for torsion. You can find the formulas for example in "Shigley’s Mechanical Engineering Design" or in "Roark’s Formulas for Stress and Strain".
 
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  • #6
It looks like you saw the units [N.m] or [lbf.ft] somewhere and thought it was bending moment, but springs are usually loaded in pure torsion, which uses the same units, but the meaning is completely different.
 

1. What is the maximum bending moment of a spring?

The maximum bending moment of a spring refers to the point at which the spring experiences the highest amount of stress or force. This is typically when the spring is at its maximum extension or compression.

2. How is the maximum bending moment calculated?

The maximum bending moment of a spring can be calculated by multiplying the force applied to the spring by the distance from the force to the point where the bending moment is being measured. This is known as the moment arm.

3. What factors can affect the maximum bending moment of a spring?

The maximum bending moment of a spring can be affected by several factors, including the material and thickness of the spring, the applied force, and the geometry of the spring.

4. What is the maximum deflection of a spring?

The maximum deflection of a spring refers to the point at which the spring has reached its maximum displacement from its original position. This is typically when the spring is at its maximum compression or extension.

5. How is the maximum deflection of a spring determined?

The maximum deflection of a spring can be determined by calculating the amount of displacement from the spring's original position caused by the applied force. This can be calculated using equations such as Hooke's Law or through experimental testing.

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