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(Solved): Problem 3. A one-way slab, as shown in the figure below, uses D16 bars spaced at 150 mm . The slab t ...



Problem 3. A one-way slab, as shown in the figure below, uses

D16

bars spaced at 150 mm . The slab thickness is 160 mm , and the effective depth is

d=120mm

. Calculate the design moment of the slab. Given: Concrete compressive strength

f_(ck)=24MPa

Yield strength of reinforcement

f_(y)=400MPa

All calculations for the one-way slab are to be performed assuming a rectangular cross-section with a width

b=1m

. This assumption is made for convenience since loads are typically given in units such as

(N)/(m^(2))

, and using a 1 -meter width allows for direct conversion to

(N)/(m^(2))

. In slabs. the reinforcing effect must be evenly distributed across the width. and therefore. the number of rebars per unit width may be fractional. For example, in the slab shown in the figure, the reinforcement area per 1-meter width is calculated as:

(A_(n))/(m)=(198.6)/(150)\times 1.000=1.324(mm^(2))

where

198.6mm^(2)

is the nominal cross-sectional area of a D16 bar.



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