CrazyEngineers Archive

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@samarjeetsaigal • 30 Jul, 2010

Q : If the stiffness of the spring is 10 N/m having 20 turns. Now if the spring is cut into 2 equal pieces, so what will be the stiffness of each spring?

@Voltaire • 30 Jul, 2010
Good question that tests your insight.

The standard formula is F =

Look up Hooke's law of compression/stretching of a solid rod. You will notice that

What do you think is the answer to your question and what is your reasoning?

The standard formula is F =

*kx*where*k*is the proportionality constant (spring constant) and*x*denotes the amount of deformation from the original length.Look up Hooke's law of compression/stretching of a solid rod. You will notice that

*k*corresponds to*YA/L[sub]0[/sub]*and that*x*corresponds to*DL*What do you think is the answer to your question and what is your reasoning?

@samarjeetsaigal • 02 Aug, 2010
thanks for explaining the formula... i don't know this answer, i only got the question not the answer???

anyway thanks for the reply

anyway thanks for the reply

@Voltaire • 02 Aug, 2010
You have to try first

Sorry

Sorry

@vvishwaskumar • 14 Aug, 2010

stiffness will be 20 N/m...its right na...?samarjeetsaigalthanks for explaining the formula... i don't know this answer, i only got the question not the answer???

anyway thanks for the reply

@Voltaire • 14 Aug, 2010
How did you calculate that answer and what is your reasoning?

@vvishwaskumar • 16 Aug, 2010

f=kx..if f is constant and x (length) is half then k will be double..if m wrong then make me right..sorry..!!

hello..VoltaireHow did you calculate that answer and what is your reasoning?

f=kx..if f is constant and x (length) is half then k will be double..if m wrong then make me right..sorry..!!

@Voltaire • 16 Aug, 2010
No need to be sorry 😀

You are right

Hooke's law defines the spring constant as

You are right

Hooke's law defines the spring constant as

*a characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement caused by it.*
@070790vivek • 17 Aug, 2010

in my view there should be other ans😕

here X does not define the length of spring it defines the deformation of spring on applying loadvvishwaskumarhello..

f=kx..if f is constant and x (length) is half then k will be double..if m wrong then make me right..sorry..!!

in my view there should be other ans😕

@Voltaire • 17 Aug, 2010
I have to admit that I, too, struggled with this one because L[sub]2[/sub]/L[sub]1[/sub] is a ratio end I would have thought that the ratio would be the same for both coils. Apparently it is not! The shorter spring does not conform to the same ratio as the longer spring if the same force is applied. One has to think of it as a rubber band: a one metre band will stretch to say 2 metres while a [sup]1[/sup]/[sub]2[/sub] metre band of the same material will stretch to only say [sup]3[/sup]/[sub]4[/sub] metres if the same force is applied.

@Capt Spark • 26 Aug, 2010
This is the helical spring stiffness formula:

If you cut into half, n is halved.. so k gets doubled

It can be correlated to the stiffness of a uniform bar in tension too (K=AE/L). L reduces, K increases.

Lots of things are easily available on this question in Google

If you cut into half, n is halved.. so k gets doubled

It can be correlated to the stiffness of a uniform bar in tension too (K=AE/L). L reduces, K increases.

Lots of things are easily available on this question in Google

@070790vivek • 28 Aug, 2010
Ya very good this is the correct explanation & answer of this question.

I m totaly agree with u.

In study of design of springs( m.d.) we have to use this equation

I m totaly agree with u.

In study of design of springs( m.d.) we have to use this equation

@Krishna Moorthy • 08 Jul, 2016
thanks for the answerwhich makes me to free from confusion

@Krishna Moorthy • 08 Jul, 2016
Thanks for the information

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