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?
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