A floor plan shown below serves as a second floor for a warehouse building. The layout of the occupancy of each rooms is shown. The floor is made of $150$ mm thick reinforced concrete slab The superimposed dead load on the floor is $1\mathrm{.}10$ kPa and the superimposed live load is shown based on the floor plan below.

Use the following parameters for the problem:

$fc=28$MPa

$fy=415$MPa

$n=8$

Density of concrete $=24k\frac{N}{?}$ cubic meter

diameter of ties $=12mm$

concrete cover $=40mm$

Question $13$

$1$

Point

What is the gross moment of inertia of the section

$1\mathrm{.}71$x$10^6$

$6\mathrm{.}83$x$10^10$

$2\mathrm{.}66$x$10^10$

$5\mathrm{.}12$x$10^10$

Question $14$

$1$

Point

what is the distance from the centroid to the extreme compression fiber assumming uncracked section?

$111\mathrm{.}68$

$400$

$138\mathrm{.}21$

$272$

Question $15$

$1$

Point

using value of modulus of rupture of $3\mathrm{.}28$ Mpa, what is the Cracking moment

$405\mathrm{.}03$

$139\mathrm{.}95$

$1620\mathrm{.}9$

$560$

Question $16$

$1$

Point

Based on the total positive moment due to DL $+$ LL$,$ will the beam crack?

YES

NO