Burmister developed two$-$layer system $(1943)$ and three$-$layer system $(1945)$ for

the analysis of flexible pavements. There are five basic assumptions of the n$-$layer

system as presented in the figure below. Please fill the missed assumptions. $(10$

points$)$

i$)$ Each layer is homogeneous, isotropic, and linear elastic material.

ii$)$

iii$)$ Each layer has a finite thickness $h,$ but the lowest layer is infinite in thickness.

iv$)$

v$)$ Continuity conditions are satisfied at the layer interfaces

A total load of $30,000lb$ was applied on the surface of a two$-$layer system through

a rigid plate $12$ in $.$ in diameter as shown below. Layer $1$ has a thickness of $6$ in $.$

and layer $2$ has an elastic modulus of $4,000.$ Both layers are incompressible

with a Poisson ratio of $0\mathrm{.}5.$ If the deflection of the plate is $0\mathrm{.}1$ in $.,$ determine the

elastic modulus of layer $1.(20$ points$)$

$E_2=4,000,v_2=0\mathrm{.}5$

A total load of $30,000lb$ was applied on the surface of a two$-$layer system through

a rigid plate $12$ in $.$ in diameter as shown below. Layer $1$ has a thickness of $6$ in $.$

and layer $2$ has an elastic modulus of $4,000.$ Both layers are incompressible

with a Poisson ratio of $0\mathrm{.}5.$ If the deflection of the plate is $0\mathrm{.}1$ in $.,$ determine the

elastic modulus of layer $1.(20$ points$)$

$E_2=4,000,v_2=0\mathrm{.}5$