Find a suitable slab thickness, Civil Engineering

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The continuous one-way slab shown below is loaded with a uniform service live load of 80 psf, and a superimposed dead load of 40 psf. Assume the beam width is 16" and use f'c = 5 ksi, and fy = 60 ksi.

a) What is the minimum slab thickness for which a deflection check is not required?

b) Find a suitable slab thickness based on a target ω = 0.10.

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