Posted by **Kate** on Saturday, June 9, 2012 at 3:33pm.

A building with a weight of 5.200e+7 N is built on a concrete foundation with an area of 1300 m2 and an (uncompressed) height of 2.82 m. By what vertical distance does the foundation compress?

- Physics -
**Elena**, Sunday, June 10, 2012 at 9:37am
Young's modulus is

E = stress / strain = σ / ε =

=(F / A₀) / (∆L / L) ,

E for concrete, 30 GPa = 30•10^9 Pa .

E= F•L / A₀•ΔL,

ΔL= F•L / A₀•E=

=5200•10^7•2.82/1300•30•10^9=3.76•10^-3 m

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