A wheel applies a $120-$psi load on a $6-$in$.-$diameter area on a semi$-$infinite elastic space, as shown inFig. P$2\mathrm{.}2.$ The

modulus of elasticity of the material is $350$ ksi and Poisson's ratio is $0\mathrm{.}35.$ Assume the load is applied on the surface as a

uniform circular load using a flexible plate.

Calculate the following at a depth of $1\mathrm{.}5$ ft under the centerline of the load:

a$.$ Vertical stress

b$.$ Radial stress

c$.$ Tangential stress

d$.$ Vertical strain

e$.$ Radial strain

f$.$ Vertical deflection

Also, calculate the vertical deformation at the surface just below the loadingFigure P$2\mathrm{.}2$ Profile of the semi$-$infinite elastic space for Prob. $2\mathrm{.}2.$

Subject name :heavy civil