##### The New River Gorge bridge in West Virginia is a 518-m-long steel arch. How much

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The New River Gorge bridge in West Virginia is a 518-m-long steel arch. How much will its length change between temperature extremes

−17°C
and
31°C?

cm
Jun 19th, 2015

Hi,

Coefficient of thermal expansion of steel = 14*10^-6 K^-1

so delta L = Lalpha*deltaT

=518*14*10^-6*(31+17)

=0.348096 m

=34.8096 cm

Best of Luck
Jun 19th, 2015

wrong

Jun 20th, 2015

dear here its 100% correct,

Coefficient of Thermal Expansion Steel=C ~ 12 x10^-6 K
Ref: Wiki: http://en.wikipedia.org/wiki/Coefficient...

The equation for linear expansion (e) is ..

e = Lo.α.∆θ .. (in m)

α = coef.of linear expansion
Lo = original length in m
∆T = temperature change in ºC
∆L = αLo∆T
∆L = (12e-6)(518)(31– –17)

∆L = (12*e-6) (518)(48) .. .. ►∆L =  0.2983 m = 29.836 cm

BEST OF LUCK !

Jun 20th, 2015

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Jun 19th, 2015
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Jun 19th, 2015
Oct 20th, 2017
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