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Old 26-10-2009, 10:33 PM   #1 (permalink)
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Default Simple Stress/Strain qns

A steel cable 3.04 cm^2 in cross-sectional area has a mass of 2.40 kg per meter of length. If 505 m of the cable is hung over a vertical cliff, how much does the cable stretch under its own weight? (Esteel = 2.00 x 10^11 N/m^2.)

Ans:4.95cm


using the eqn: Esteel = FL/Ax where x is the change in L.
F = weight of cable = 2.4 x 505 x 9.81
A is given, L is given.
So I just put in the values... get 9.9cm. where did I go wrong?

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Old 28-10-2009, 03:23 AM   #2 (permalink)
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Default Re: Simple Stress/Strain qns

L should be 505/2 m

This is because the force act at the mid point of the cable.

So simplistically, we can imagine a spring of 505/2m, rather than 505 m, being stretched.

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Old 29-10-2009, 12:37 AM   #3 (permalink)
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Default Re: Simple Stress/Strain qns

thx that makes sense. so only half the length is being stretched

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Old 29-10-2009, 12:44 AM   #4 (permalink)
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Default Re: Simple Stress/Strain qns

Need an Engineer tutor? Look for me.

Price $25/hr. LOL~

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