HW #
1
ميحرلا نمحرلا الله مسب
Design of Concrete
Structure I
University of
Palestine
Instructor:
Eng. Mazen Alshorafa
Page
1
Design of Concrete
Structure I
University of
Palestine
HW #
1
w
D
=
2.0
t/m +wt of beam
w
L
=
2.3
t/m
6
m
60
54
30
3
Φ
30
Figure [
1
]
Problem
#
1
Figure
[
1
]
shows
a
simply
supported
beam
and
the
cross
section
at
midspan
.
The
beam
supports
a
uniform
service
dead
load
of
2
.
0
t/m
(excluding
own
weight
of
beam),
and
a
uniform
service
live
load
of
2
.
3
t/m
.
Use
f
c
’=
210
kg/cm
2
and
f
y
=
4200
kg/cm
2
.
1

Compute
the
factored
load
per
meter,
w
u
,
and
the
max
.
factored
moment,
M
u
.
2

compute
Φ
M
n
for
the
cross
section
shown
.
Is
the
beam
safe?
Page
2
Design of Concrete
Structure I
University of
Palestine
HW #
1
w
D
=
2.0
t/m +wt of beam
3.0
m
45
40
75
6
Φ
25
Figure [
2
]
P
L
=
5.0
ton
Problem
#
2
Figure
[
2
]
shows
a
cantilever
beam
and
the
cross
section
at
support
.
The
beam
supports
a
uniform
service
dead
load
of
1
.
5
t/m
(excluding
own
weight
of
beam),
and
a
concentrated
service
live
load
of
5
.
0
t
at
the
free
end
.
Use
f
c
’=
280
kg/cm
2
and
f
y
=
4200
kg/cm
2
.
1

Compute
the
max
.
factored
moment,
M
u
.
2

Compute
Φ
M
n
for
the
cross
section
shown
.
Is
the
beam
safe?
Page
3
Design of Concrete
Structure I
University of
Palestine
HW #
1
2.5
7.0
6.0
5.5
Figure [
3
]
Problem
#
3
Select
reinforcement
for
a
7
m
span
rectangular
beam
with
b=
40
cm,
and
h=
55
cm
.
The
beam
supports
its
own
weight
plus
a
superimposed
service
uniform
dead
load
of
1
.
0
t/m
and
a
uniform
live
load
of
3
.
0
t/m
.
Use
f
c
’=
350
kg/cm
2
and
f
y
=
4200
kg/cm
2
.
Problem
#
4
Select
reinforcement
for
a
rectangular
beam
with
b=
80
cm,
and
h=
30
cm
.
The
beam
supports
service
dead
load
moment
of
8
t
.
m
and
a
live
load
moment
of
6
t
.
m
.
Use
f
c
’=
250
kg/cm
2
and
f
y
=
4200
kg/cm
2
.
Problem
#
5
What
is
the
minimum
depth
required
for
the
continuous
beam
in
figure[
3
]
to
control
deflection
?
Page
4
Design of Concrete
Structure I
University of
Palestine
HW #
1
Figure [
4
]
Problem
#
6
The
beam
shown
in
Figure
[
4
]
carries
a
uniform
service
dead
load
of
3
.
0
t/m
(including
own
weight
of
beam),
and
a
uniform
service
live
load
of
1
.
2
t/m
.
Use
f
c
’=
210
kg/cm
2
and
f
y
=
4200
kg/cm
2
.
[three
possible
loading
cases
are
shown
in
figure
.
1

Draw
factored
bending
moment
diagram
for
the
three
loading
cases
shown
and
superimpose
them
to
draw
a
bending
moment
envelope
.
2

Design
the
beam,
selecting
b,
d,
and
reinforcing
bars
.
3

Draw
an
elevation
of
the
beam
showing
that
the
reinforcement
.
4

Draw
cross
section
at
the
points
of
maximum
positive
and
negative
moment
.
w
D
=
3.0
t/m
w
L
=
1.2
t/m
w
D
=
3.0
t/m
w
L
=
1.2
t/m
w
L
=
1.2
t/m
w
D
=
3.0
t/m
7.0
m
2.7
m
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