$4.$ A $200$ x $200$ construction foot print needs $20$ feet deep excavation for foundation work. $50$ ksi solider piles are used which is w$12$x$48$ and solider piles are spaced at $10$ on center. Soil pressure is $120$ lbf$/$ft$3$ and angle of theta $()210.$ The maximum embedment depth L$4$ is $35$ feet. The top and bottom rails are w$8$x$12$ respectively. Determine the cost estimate of complete shoring work to support necessary excavation against collapse. Consider the lagging $($w$12$x$36)$ is $10$ long @ $6$ OC$.$