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A R.C.C Column 300mm×500mm is reinforced equally on two short sides by 3000mm2 on each side. The cover to the center of steel is 50mm.

Calculate ultimate load and ultimate moment the column can resist if it is just on the verge of cracking. Take ku=1 Use M20/Fe415 take fs1=355N/mm2,fs2=70N/mm2fc1=9N/mm2,fc2=3N/mm2

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Now

Puc=0.36fckbd=0.36×20×300×500=1080kN

Pus1=(fsc1fcc1)×Asc=(3559)×3000Pus1=1038kNPus2=(fsc2fcc2)×Asc2=(703)×3000=201kNTotal Pu=Pus1+Pus2=1038+201=2319kNMuc=Puc×(0.50.42)×D=1080×(0.08)×500=43.2kNmMus1=Pus1×e1=(1038×0.2)=207.6kNmMus1=Pus2×e2=(201×0.2)=40.2kNmMu=167.4kNm

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