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.