Kindly solve this question asap. I need every step. Thnaks Problem #3: Figure 1

Question

Kindly solve this question asap. I need every step. Thnaks

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 supports a service dead and live load of 100 psf and 75 psf, respectively. a) Determine the effective flange width for the continuous beam along grid line B at mid-span between grid lines 1 and 2. Assume hf 5 in b) Determine the effective flange width for the continuous beam along grid line B at the column support B2. Assume h in.

Explanation / Answer

a) At midspan there will be positive moment and hence effective flange widht is governed by minimum of the below three values per ACI 318

- span/4 = 18'/4 = 4.5'

- 2x(8xhf)+web width = 2x(8x5)+12=92" = 7.67'

- 2x(1/2)x(19x12)" + 12" = 240" = 20"

Effective flange width = minimum(4.5',7.67',20') = 4.5'

b)Near column support there will be negative moment in beam and hence will behave as a rectangular beam and not flanged beam. Therefore effective flange width =width of web = 12"

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