The middle of the 5.6 m simple beam has a dimension of 350 mm by 600 mm. On that location, the beam is reinforced with 3-Ø20mm on the top and 7-Ø20 mm at the bottom. The concrete cover to be used is 40 mm. The stirrups used is 12 mm in diameter. The concrete strength of the beam is 27.6 MPa. All reinforcement used is Grade 60 (fy = 420 MPa). The beam is carrying a superimposed dead concentrated load of 55 kN and an unknown superimposed live load both at the midspan. The unit weight of concrete used is 23.6 kN per cubic meter. 1. Determine the distance of the extreme compression from the neutral axis at the correct assumption. 2. Determine the unknown concentrated live load that the beam can sustain. 3. Determine the design moment capacity of the beam at the midspan.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The middle of the 5.6 m simple beam has a dimension of 350 mm by 600 mm. On that location, the beam is reinforced with 3-Ø20mm on the top and 7-Ø20 mm at the bottom. The concrete cover to be used is 40 mm. The stirrups used is 12 mm in diameter. The concrete strength of the beam is 27.6 MPa. All reinforcement used is Grade 60 (fy = 420 MPa). The beam is carrying a superimposed dead concentrated load of 55 kN and an unknown superimposed live load both at the midspan. The unit weight of concrete used is 23.6 kN per cubic meter.

1. Determine the distance of the extreme compression from the neutral axis at the correct assumption.
2. Determine the unknown concentrated live load that the beam can sustain.
3. Determine the design moment capacity of the beam at the midspan.

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