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2 in. thick and is made from 2014-T6 aluminum.
screw is adjusted so that it just presses up againstDthe
to the rigid cap, determine the average normal stress
stress in the concrete and in each rod. Each rod has a
cylinder. If it is then tightened one-half turn, determine
developedthe
in the
the tube.
diameter 4–50.
of 0.75 in.
The tapered member is fixed connected at its ends
A post and
average
normal
stress in5the
5 ft
ft rods and in
6 ftthe cylinder.
A and B and is subjected to a load P. Determine the location
The
single-threaded
screw
on
the
bolt
has
a
4–35. The 304 stainless steel post A is surrounded by alead
red of 0.01 in.
*4–32. The
column
is constructed
from high-strength
x of the
load and
its greatest magnitude
so that the average
Note:
The
lead
represents
the
distance
the
screw
Probs.
4–56/57
brass C83400 tube B. Both rest on the rigid surface. If a advances
concrete and
six A-36
reinforcing
If it is subjected
normal
stresssteel
in the
bar does rods.
not exceed
sallow = 4 ksi. The
itsapplied
axis for to
onethe
complete
turndetermine
of the screw.
force of 5along
kip is
rigid cap,
the
to an axialmember
force ofis302 kip,
determine
the
required
diameter
in. thick.
required 4–58.
diameter
d
of
the
steel
post
so
that
the
load
is rigid
of each rod so that one-fourth of the load is carried by the
The
horizontal
beam
is
assumed
to
be
and
4–54. The press consists of two rigid heads that
are held
sharedNO
equally
between
the
post
and
tube.
concrete and three-fourths by the steel.
1
supports
the
distributed
load
shown.
Determine
the
vertical
ÖDEV
6.
together by the two A-36 steel 2-in.-diameter rods. A 6061reactions
at the supports.
Eachissupport
of a wooden
T6-solid-aluminum
cylinder
placed consists
in the press
and the
4
5akip
post
having
diameter
ofit 120
mm
and up
anagainst
unloaded
screw
is
adjusted
so
that
just
presses
the
4 in.
(original)
length ofdeğişken
1.40
m.
Take
Ew =kiriş
12
GPa.
A
Soru
1.
Şekildeki
kesitli
A
ve
B
cylinder.
Determine
the
angle
through
which
the
screw
can
B
be turned
the rods
or istheassumed
specimen
to yield.
ankastre
mesnetlidir.
x=30
in
3 in. noktalarında
P
4–59.
The before
horizontal
beam
to begin
be rigid
and
4 6 in.
30 kip
BDetermine
The single-threaded
screw
on shown.
the bolt
has a lead the
of 0.01
in.
supports
the
distributed
load
angle
mesafede
P
=
7
kip
kuvvet
tesir
etmektedir.
B
Note:
Thethe
lead
represents
distance
the screw
A
of
tilt of
beam
after thethe
load
is applied.
Eachadvances
support
Kiriş
2 initskalınlığında
aluminyumdan
A
along
for onepost
complete
of the imal
screw.
consists
ofaxis
a wooden
havingturn
a diameter
of 120 mm and
x
8 in.
3 in.
edilmiştir.
Eal =(original)
10600
ksi of 1.40 m. Take Ew
an unloaded
length
60 in.
134
CHAPTER 4
•4–61.
suspen
is mad
450 mm
distribu
180 MP
alumin
Assum
= 12 GPa.
12 in.
Probs. 4–49/50
AXIAL LOAD
18 kN/m
130
3 ft
C H AdP T E R 4
AXIAL LOAD
0.5 in.
•4–21.
A spring-supported pipe hanger consists of two
*4–24. Determine the relative displacement of one end of
Probs.
4–34/35
springs which 4–51.
are originally
unstretched
and
have
a
stiffness
the load
tapered plate with respect
to the
other end when it is
The rigid bar supports the uniform distributed
2 in.
FUNDAMENTAL
PROBLEMS
of k = 60 kN>m,
304
stainlessyayılı
steel
rods,
ABeach
andcable
CD,rijit
subjected
A P.
B
C
2.Determine
Üçgen
yüke
maruz
yatay
kiriş,to an axial load
of Soru
6three
the force
in
if each
cable
kip>ft.
2
3 *4–36. The composite bar consists of a 20-mm-diameter
which have ahas
diameter
of
5
mm,
and
EF,
which
has
a
a cross-sectional
areaahşap
of 0.05dikmeler
in , and E tarafından
= 31110 2 ksi.
çapı
120 mm olan
diameter of 12 mm, and a rigid beam Probs.
GH. If4–31/32
the pipe and
A-36 steel segment ABP and 50-mm-diameter red brass
1.40 m
The 20-mm-diameter A-36 steel rod is subjected
taşınmaktadır.
Dikmelerdeki
iç horizontal
kuvvetleri
*4–52.
rigid
barof is
originally
andC83400
is F4–1.
the fluid it carries
haveThe
a total
weight
4 kN,
determine
the
end segments DA and CB. Determine the average
to the axial forces dshown.
Determine the displacement of
•4–33. The
steel
pipe
is
filled
witheach
concrete
subjected
supported
by
two
having
aalınız.
cross-sectional
area
2
hesaplayınız.
E
=12
displacement
of
the
pipe
when
itcables
is ahşap
attached
toGPa
theand
support.
normal stress in each segment
due to the applied load.
2
3
10 in. at A.
to a compressive
force
of 80
kN.
Determine
the averagethe slight end C with respect to the fixedt support
of 0.05 in
E =
31110
, and
2 ksi. Determine
4–22.normal
A spring-supported
pipe
hanger
consists
of
two
stress
in
the
concrete
and
the
steel
due
to
this
of a 20-mm-diameter
rotation of the bar when the uniform load is applied. •4–37. The composite bar consists
2m
1m
springs,
which
unstretched
and
a an
loading.
Theare
pipeoriginally
has an outer
diameter of
80 have
mm and
A-36 steel segment AB and 50-mm-diameter
Probs. 4–53/54 red brass
k = 60 kN>m,
stiffness
three
AB
innerofdiameter
of 70 mm.
Ec =rods,
Est304
= stainless
200 GPa,steel
24 GPa.
C83400 end segments
and CB.
Determine the
600 DA
mm Probs.
4–58/59
400 mm
and CD, which have a diameter of 5 mm, and EF, which has
displacement of A with respect to
h B due to the applied
kNa rigid beam GH. If the pipe is
4–55. The three suspender bars
a diameter of 12 mm, 80
and
load.
50 kNare made of A-36 steel
and have equal cross-sectional areas 40ofkN 450 mm2.
displaced 82 mm when it is filled with fluid, determine the
C
Determine the average normal stress in each bar if the rigid
weight of the fluid.
A
B
C
beam isdoldurulmuş
subjected to theve
loading
shown.
kN
Soru 3. Şekildeki çelik boru betonla
8050kN
basınç
4
d1
4 ve çelikteki ortalama gerilmeyi hesaplayınız.
kuvveti uygulanmıştır. Beton
F
F4–1
500 mm
D
B
k
P500
250mm
mm dir. E
mm GPa ve
250E
mm
Boru dış çapı 80 mm ve iç çapı 70
ç=200
b=24 GPa
6
ft
50
mm
dır.
20 mm
Prob.A4–24
C
B
0.75 m
F4–2. Segments75 AB
kN and
100 CD
kN of the assembly are solid
circular rods, and segment BC is a tube.
80 kNIf the assembly
4–25. Determine
the6061-T6
of kN
the A-36
steel member
2elongation
m
50
is made of
aluminum,
determine
the displacement
75 kNforce
100ofkN
D
B The member
C
when it is subjected
toAanrespect
axial
30 kN.
of end D with
to end
A.
is 10 mm thick. Use the result D
of Prob. 4–24. E
F
D
Probs. 4–36/37
k
6 kip/ft
H
E
G
0.75 m
A
A
3 ft
Prob. 4–33
B
C
3 ft
3 ft
Probs. 4–51/52
0.25 m 0.25 m
30 kN
20 mm 1 m
20 mm
10 kN
Soru 4. Şekildeki aluminyum birleşimin AB ve CD
Probs. 4–21/22
bölmeleri dairesel kesitli çubuklardan oluşmaktadır.
4–23. The rod has a slight taper and length L. It is
D ucunun A ucuna göre deplasmanını belirleyiniz.
suspended from the ceiling and supports a load P at its end.
Eal = 10600ofksi
Show that the displacement
its end due to this load is
d = PL>1pEr2r12. Neglect the weight of the material. The
modulus of elasticity is E.
r2
L
A 10 kN
75 mm
1m
a
B
10 kN
400 mm
Prob. 4–23
120
m mm
1530
kNkN
D
20 kN
15 kN
400 mm
0.5 m
400 mm
F4–5. Th
subjected
the displa
Prob. 4–25
30 mm
40 mm
A
4–26. The casting is made of a material that has a specific
weight g and modulus of elasticity E.Section
If it isa-a
formed into a
pyramid having the dimensions shown, determine how far
its end is displaced due to gravity whenF4–2
it is suspended in
the vertical position.
Soru 5. L uzunluğunda E elastisite modülüne sahip malzemeden
F4–3. The 30-mm-diameter
A-36 steel rod is subjected to
b0 bir
yapılmış bir değişken kesitli
kirişbtavandan
asılı
şekilde durmakta
the loading
0 shown. Determine the displacement of end A
ve ucunda P yükü taşımaktadır.
Malzemenin
ağırlığını ihmal ederek
with respect
to end C.
uçtaki deplasmanı verilen ölçü ve değişkenlere bağlı olarak
belirleyiniz. A
P
1m
C
Prob. 4–55
5
3
4 L
r1
F4–4. If
and the st
the displa
B
400 mm
Prob. 4–26
4
3
5
F4–6. Th
subjected
Determin
30 kN
90 kN
C
A
30 kN
600 mm
F4–3
$55
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