Maximum bending moment and maximum deflection of the spring?

AI Thread Summary
To determine the maximum bending moment and maximum deflection of a coil spring under compression, it is essential to recognize that the loading does not produce a bending moment, as the load is applied vertically. Instead, the maximum deflection occurs when the coils touch, and the spring is fully compressed. The analysis of such springs involves torsion rather than bending, and relevant formulas can be found in resources like "Shigley’s Mechanical Engineering Design" or "Roark’s Formulas for Stress and Strain." Understanding the distinction between bending moments and torsional loading is crucial for accurate calculations. Proper application of these principles will lead to the correct assessment of spring behavior under load.
metalsunsuccess1
Messages
2
Reaction score
1
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.
 
Engineering news on Phys.org
What kind of spring is this?
 
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.
 
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.
 
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".
 
  • Like
  • Informative
Likes cherish, Chestermiller and berkeman
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.
 
How did you find PF?: Via Google search Hi, I have a vessel I 3D printed to investigate single bubble rise. The vessel has a 4 mm gap separated by acrylic panels. This is essentially my viewing chamber where I can record the bubble motion. The vessel is open to atmosphere. The bubble generation mechanism is composed of a syringe pump and glass capillary tube (Internal Diameter of 0.45 mm). I connect a 1/4” air line hose from the syringe to the capillary The bubble is formed at the tip...
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'
Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
I'd like to create a thread with links to 3-D Printer resources, including printers and software package suggestions. My motivations are selfish, as I have a 3-D printed project that I'm working on, and I'd like to buy a simple printer and use low cost software to make the first prototype. There are some previous threads about 3-D printing like this: https://www.physicsforums.com/threads/are-3d-printers-easy-to-use-yet.917489/ but none that address the overall topic (unless I've missed...

Similar threads

Back
Top