USE NSCP $2015$

Problem $2$: A $4$ m reinforced concrete cantilever beam has a width of $300$ mm and a total depth of $560$ mm with an effective depth of $490$ mm $.$ It is

reinforced with $5-28mm.$ Grade $60$ tension bars and $f^{\text{'}}c=30$MPa. In addition to live load and its own weight. the beam carries a $150*mm*$ thick

concrete slab $($casted monolithically with beam$)$ with tributary width of $4$ m $.$ The unit weight of concrete is $24k\frac{N}{m^3}.$

a$.$ Determine the usable moment capacity of the beam, in $kN-m$

b$.$ Determine the maximum uniform service live load acting over the entire span that can be supported by the beam.