isostatikoi foreis
TRANSCRIPT
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7/24/2019 isostatikoi foreis
1/16
8
200
A
_0,4kNm 0,4kNm
8.1 Q, M
-
7/24/2019 isostatikoi foreis
2/16
8. 220
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7/24/2019 isostatikoi foreis
3/16
8.1 Q, M 221
8.1 Q, M
-
.
(=0,01m4)
=2,9107k/m
2. 8m.
, 4m.
-
(1) -
(2).
. -
. -
.
, ,
,
. -
Q, ,
.
, Q
.
-
. , Q, ,
,
.
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7/24/2019 isostatikoi foreis
4/16
8. 222
1.
A B
P=400kN
1
8,0
1.
_ _ __ _
+ + ++ +
2.
.
1. 2.
-
,
. -
-
, .
-
-
, -
.
(+++)
(- - -) .
, -
.
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7/24/2019 isostatikoi foreis
5/16
8.1 Q, M 223
+
_
200
200
+
+
200kN
+
_
400kN
200kN200kN
200kN
Q: Q
.
Q
A B1
AZ
BZ
M+
+
AZ=200kN
200kN
+
+
800kNm
A B
M:
.
1
Mmax= PL/4 = 800,0m
QA= P /2= 200,0kN
QB= P /2= 200,0kN
.
. 1,
1 . Q
.
-
, Q
.
,
.
-
.
-
.
. -
-
1 1.
-
, -
. -
-
.
-
-
.
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7/24/2019 isostatikoi foreis
6/16
8. 224
2.
A B
p=50kN/m
L=8,0m
1.
_ __ _ _
+ + ++ +
2.
-
1.
.
1. 2.
-
-
, -
-
.
-
-
-
, .
-
-
,
-
.
(+++)
(- - -) .
, -
.
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7/24/2019 isostatikoi foreis
7/16
8.1 Q, M 225
+
_
200
20
+
+
0
200kN
200kN_pdx
Q: Q
.
Q
A B
0p
dx
AZ
BZ
M+
+
AZ=200kN
+
+
400kNm
A B
M:
.
Mmax= pL2/8 = 400,0m
QA= pL /2=+200,0kN
QB= pL /2= 200,0kN
1 (
).
.
p
-
Q -
. -
-
,
.
.
p
.
,
.
.
Q. To
p ,
.
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7/24/2019 isostatikoi foreis
8/16
8. 226
3.
L=4,0m
A B
P=200kN
1
2
Q:
+200
_800
M:
M
(+)
AZ=200kN
200kN
:
MA=800kNm(_)
.
.
AZ
MA
MA= PL= 200,04= 800,0kNm
MB=0,0kNm
QA=P= 200,0kN QB=P= 200,0kN
1, 2
,
.
-
-
.
.
(
(+++) (- - -))
-
-
.
,
.
.
. -
Q
-
. -
,
.
.
. -
-
.
.
() .
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7/24/2019 isostatikoi foreis
9/16
8.1 Q, M 227
4.
L=4,0m
A B
p=50kN/m
1
2
+200
Q:
.
AZ
_400
M:
f=pL2/8=100kNm
.MA
MA= pL2/2= 400,0kNm
QA= pL = 200,0kN
MB=0,0 kNm, QB=0,0kN
p.
1,2
(
(++) (--)
).
.
-
.
.
-
, -
.
.
p Q
-
.
.
p -
(
Q). -
,. p
,
.
-
7/24/2019 isostatikoi foreis
10/16
8. 228
5.
1
2
1, 2
,
-
.
-
.
-
( (++)
(- - -)
).
-
-
-
. -
-
-
. -
(++) -
(--). -
.
90
400,0kN
G
3,0
8,0
-
7/24/2019 isostatikoi foreis
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8.1 Q, M 229
Q: To Q
(Q
G=200,0kN, Q
G=
200,0kN)
266,6 266,6
200,0
200,0
+
+_
_
.
M:To
800,0800,0_
__
_
.
Z Z
400,0
A B 200,0k2= = =
G
GM 0 = X200,0 4
A 266,66kN3
= =
M M 266,66 3 800,0km= = =
. -
-
. -
Q -
.
(
).
.
.
Q
G=200,0kN
G=0, -
G
(3).
G
()
,
-
.
-
7/24/2019 isostatikoi foreis
12/16
8. 230
90
6.
p=50kN/m
1
2
1, 2
,
-
.
-
.
-
( (++)
(- -)
).
-
-
.
-
.
(++)
(- -). -
.
3,0
8,0
G
-
7/24/2019 isostatikoi foreis
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8.1 Q, M 231
Q: Q
(Q
G=Q
G=0)
133,3
200,0
200,0
+
+_
_
.
33,3
M:
400,0_
__
_400,0
f=pL2/8=100kNmf=pL2/8=100kNm
.
Z Z
50,0 8A B 200,0k
2
= = =
G
GM 0 = X
200,0 4 50,0 4 2A 133,33kN
3
= =
M M 133,33 3 400,0km= = =
., . -
Q ,
p
,
.
-
-
-
(-
).
Q
G=0kN G=0kNm, -
G -
(4).
G ( -
)
,
.
-
7/24/2019 isostatikoi foreis
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8. 232
7.
8,0 2,02,0
2 31
P=400kN
1
2
Q: Q
+
_
200
200
A
.
+
800kNm
A B
M:
.
-
1, 2
,
. -
-
, . -
-
. -
(++)
( - - - ) .
,
-
.
, .Q, M -
-
. -
(Q=0, M=0)
.
(
),
-
.
-
7/24/2019 isostatikoi foreis
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8.1 Q, M 233
8.
8,0 2,02,0
2 3
P=200kN P=200kN
1
2
Q: Q
_
200
200
A
.
+
200
A .
_400 400
M:
-
.
1, 2
-
.
, .
-
.
-
.
, -
-
.
,
, -
-
-
.
,
(
)
Q -
.
-
7/24/2019 isostatikoi foreis
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8. 234
9.
8,0 2,02,0
2 31
p=50kN/m
1
2
Q: Q
+
_
200100
A
._
100
200
+
+
300
A B
M:
.
100 100
+
_ _f=400kNm
1, 2
-
1 -
.
. -
(++) -
(++)
. -
(
).
, . -
-
5012=600k.
M -
(-
) - .
, -
-
AQ
BQ .
.