$11($a$).$ Explain steps involved in calculation of crack width of RC member as per IS$456.$

$($OR$)$

$($b$).$ Design a RC one way slab for a room having inside dimension $5m6\mathrm{.}5m.$ The thickness of supporting walls are $300mm.$ The unit weight of lime concrete is $20k\frac{N}{m^3}.$ The superimposed load on the slab may be taken as $2k\frac{N}{m^2}.$ Assume the slab as simply supported at its ends. Adopt M$-25$ concrete and mild steel reinforcement

$12($a$).$ Design a deep beam of $300mm$ wide and $5m$ deep, simply supported over a clear span of $5m.$ The beam carries a live load of $150k\frac{N}{m}$ and is supported on walls of $500mm$ thick on each end. Adopt M$-25$ grade concrete and Fe $415$ steel having permissible tensile

stress of $250\frac{N}{m}{m}^2.$

$($OR$)$

$($b$).$ Design a corbel for a $200mm$ square column to support a vertical load of $500kN$ with its line of action $170mm$ from the face of the column. Use M $25$ grade concrete and Fe $415$ grade steel.

$13($a$).$ Design a circular slab of diameter $3\mathrm{.}5m$ which is simply supported at the edges. Adopt service live load as $4\mathrm{.}5k\frac{N}{m^2}$ and $M-30$ grade concrete with $Fe-415$ HYSD bars. Assume load factors according to IS: $456-2000$ code.

$($OR$)$

$($b$).$ Design a interior panel of a flat slab in a building carrying a superimposed load of $2\mathrm{.}5k\frac{N}{m^2}.$ The weight of floor finishes on the slab may be taken as $1\mathrm{.}5k\frac{N}{m^2}.$ The panel is supported on $250mm$ dia circular column. Size of panels $6m8m.$

$14($a$).$ With neat sketch explain the moment curvature relationship for under reinforced, balanced and over$-$reinforced sections.

$($OR$)$

$($b$).$ A continuous beam has two spans each of $5m.$ The dead load is $12\mathrm{.}5k\frac{N}{m}$ and the live load is $35k\frac{N}{m}.$ Draw the bending moment envelope after maximum redistribution.

$15($a$).$ Explain the design requirements of ductile shear walls in earthquake resistant design.

$($OR$)$

$($b$).$ Explain the steps involved in the detailing of reinforced concrete member $-$ column.