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Question

# A rectangular beam of width 230 mm and effective depth 300 mm is proposed to carry a BM and SF of 120 kNm and 270 kN, respectively. If M30 grade of concrete and Fe 415 steel are used for which τcmax = 3.5 MPa, which one of the following statements is correct?

A
It can be designed as a singly reinforced, under-reinforced section.
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B
It can be designed as a doubly reinforced section.
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C
The section is unsafe from shear considerations.
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D
It can be designed as a doubly reinforced section but it is unsafe from shear considerations
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Solution

## The correct option is D It can be designed as a doubly reinforced section but it is unsafe from shear considerations Mu=1.5×120=180kNm Vu=1.5×270=405kNm τv=Vubd=405230×300 =5.86N/mm2>τcmax (Not safe) Mulim=0.36fckbxulim(d−0.42xulim) =0.36×30×230×0.48×300×(300−0.42×0.48×300)×10−6 =85.67kNm<Mu (so design as doubly reinforced beams)

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