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4000 psi and fy 60000 psi, 20 in. 5 in. 8.5 in. 22 in No. 8 bars 10 in. Problem

ID: 1867064 • Letter: 4

Question

4000 psi and fy 60000 psi, 20 in. 5 in. 8.5 in. 22 in No. 8 bars 10 in. Problem #3: Figure 1 shows a floor plan consisting of a one-way slab spanning between beams on grid lines A, B, C, and D. The beams are supported by columns at the intersections of the grid lines. The slab support a service dead and live load of 100 psf and 75 psf, respectively. Determine the effective flange width for the continuous beam along grid line B at mid-span between grid lines 1 and 2 Determine the effective flange width for the continuous beam along grid line B at the column support B2 a) b)

Explanation / Answer

Solution 3.

a) At midpoint of span, moment will be positive,i.e., top flange will compression. Hence beam will behave as flanged beam

Per ACI 318 the effective flange width is governed by minimum of the values below:

- Span/4 = 18/4 = 4.5'

- 2*1/2*clear distance of web + web width = 20'

- 2x6xhf + 12 = 72" = 6'

Therfore, effective flange width = 4.5' = 54"

b) There will be negative moment At column support, and hence the beam will behave as a rectangular beam. Effective flange width = web width = 12"

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