Calculate and solve $1234$ with complete solution use NSCP $2015$:

A simply supported beam has a clear span of $4\mathrm{.}80m.$ The rectangular beam size is $300mm$ by $450mm$ and reinforced with $2-20mm$ compression bars and $4-20mm$ tension bars. The $W_{DL}=35k\frac{N}{m},W_{LL}=25k\frac{N}{m},f^{\text{'}}c=21$MPa, yield strength of steel is $fy=415$MPa,$cc=50mm,$ and stirrups diameter $=10mm.$ Design the spacing of shear reinforcement.

The floor framing plan of a reinforced concrete structure is shown in the figure. All rectangular beams are $300mm$ wide and $500mm$ deep, unit weight of concrete is $24k\frac{N}{m^3},f^{\text{'}}c=28$MPa,$fy=345$MPa, concrete cover $=20mm,$ and diameter of bar$=10mm.$ Design slab DEGH using the following design loads. $FF=1\mathrm{.}25$kPa, Electromech $=0\mathrm{.}10$kPa, Ceiling $=0\mathrm{.}55$kPa, and $LL=3\mathrm{.}80$kPa.

A $5\mathrm{.}0m$ rectangular cantilever beam is subjected to torque of $25kN.$m at the free end of the beam. The girder has width of $300mm$ and depth of $600mm.$ The centroid of the longitudinal bars of the girder are placed $100mm$ from the extreme concrete fibers. The critical shear is $V_u=100kN,$ concrete strength $f^{\text{'}}c=28$MPa, concrete cover $=50mm$ and steel yield strength of longitudinal bars is fy$=520$ MPa. Use $12mm$ stirrups with $f_{yt}=280$MPa. Design the reinforcement necessary for main bars and stirrups to resist torsion.

A $300mm$ by $550mm$ rectangular reinforced concrete beam carries uniform deadload of $10k\frac{N}{m}$ including selfweight and uniform liveload of $10k\frac{N}{m}.$ The beam is simply supported having a span of $7\mathrm{.}0m.$ The compressive strength of concrete $=21$MPa,$fy=415$ MPa, tension steel $=3-32mm,$ compression steel $=2-20mm,$ concrete cover $=40mm,$ and stirrups diameter $=12mm.$ Calculate the instantaneous deflection of the beam due to service loads in $mm.$