Assume suitable missing data, if any.

Q$.1$ Design Tunnel support for class D rock found at different length of $4$ km long tunnel. The shape of Tunnel Modified Horse Shoe, Size of Tunnel $13\mathrm{.}7m9\mathrm{.}9m,$ Tunnelling Method Drill and Blast Method, Condition of Rock Mass Good to Fair, Slope of Tunnel $4\mathrm{.}40\%,$ Clear Width $11\mathrm{.}5$ m $,$ Clear Height of Tunnel $5\mathrm{.}5$ m and Thickness of Lining $400$ mm $.$

Assume :

Finished width of tunnel $=13\mathrm{.}00m,$ Lining thickness $=400\mathrm{.}00mm$ Payline $=100mm,$ Thickness of shotcrete $tc=50mm,$ Excavated height of Tunnel $=9\mathrm{.}90m,$ Excavated width of tunnel $=14\mathrm{.}10m,$ Diameter of rock bolt $=25mm,$ Length of Rock Bolt $=2+0\mathrm{.}15$ B$/$ESR Where B is excavated width ESR $=$Excavation Support Ratio $=1\mathrm{.}3$ For Highway Tunnel, Length of Rock Bolt.Required $=3\mathrm{.}6m$ Provided Length of rock bolt $=5\mathrm{.}0m$ characteristic compressive strength of shotcrete $=35\frac{N}{m}m2$ Yield strength of rock bolt $($fy$)=500\frac{N}{m}m2$ Factor of Safety for bolt $=1\mathrm{.}5$

Find I. Vertical Support Pressure for Crown II$.$ Ultimate Wall Support Pressure III. Roof and wall support pressure IV$.$ Load carried by Shotcrete V$.$ Load carried by bolt VI$.$ Check support system compatibility for crown and walls

$[10][$CO$3]$