Solution of Mid First Term 2012/2015 Second Year Page 1 of 14 Question ONE: ( ) ( ( ) ) ( ( ) ) ( ( ) ) ( ( )( )) { } [ ]{ }{ } () () () ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) . .
Mid First Term - Question ONE
Feb 02, 2016
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Solution of Mid First Term 2012/2015 Second Year
Page 1 of 14
Question ONE:
(
) ( (
)
)
(
(
)
) ( (
)
)
( (
) (
))
{
}
[
] {
} {
}
( )
( )
( )
( )
( )
(
)
(
)
(
)
(
)
(
)
(
)
π€π₯ π§
. .
πΏ
πΏ
π§
π₯
Solution of Mid First Term 2012/2015 Second Year
Page 2 of 14
B.Cs:-
At
At
At
At
At
At
At
Similary
( )
( )
( )
( )
( )
(
)
(
)
(
)
(
)
(
)
(
)
B.Cs:-
At
(
) (
)
Solution of Mid First Term 2012/2015 Second Year
Page 3 of 14
(
)
(
)
(
)
(
)
Bending moment and Shear force and Reactions
(
) (
)
Max
(
) (
)
(
)
(
)
Solution of Mid First Term 2012/2015 Second Year
Page 4 of 14
( )
N.A
1
2
3
4
0 5 10 15 20 25 30 35 40 45-4000
-3000
-2000
-1000
0
1000
2000
z
My
0 5 10 15 20 25 30 35 40 45-1000
-500
0
500
1000
z
Sx
0 5 10 15 20 25 30 35 40 45 50-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
z
u
0 5 10 15 20 25 30 35 40 45 50-0.2
-0.15
-0.1
-0.05
0
0.05
z
v
Solution of Mid First Term 2012/2015 Second Year
Page 5 of 14
π₯
π¦
πΆ
Solution of Mid First Term 2012/2015 Second Year
Page 6 of 14
Anathor Solution
(
) ( (
)
)
(
(
)
) ( (
)
)
( (
) (
))
{
}
[
] {
} {
}
π€π₯ π§
. .
πΏ
πΏ
π§
π₯
π€π₯ π§
.
πΏ
πΏ
π§
π₯
π
π π΄ π π΅
Solution of Mid First Term 2012/2015 Second Year
Page 7 of 14
(
)
(
)
(
(
) )
(
)
(
(
)
)
(
)
(
(
)
)
B.Cs:-
At
At
At
At
At
At
At
Similary
Solution of Mid First Term 2012/2015 Second Year
Page 8 of 14
(
)
(
(
)
)
(
)
(
(
)
)
Bending moment and Shear force and Reactions
(
)
Max
(
) (
)
(
)
(
)
Solution of Mid First Term 2012/2015 Second Year
Page 9 of 14
( )
N.A
1
2
3
4
0 5 10 15 20 25 30 35 40 45-4000
-3000
-2000
-1000
0
1000
2000
z
My
0 5 10 15 20 25 30 35 40 45-1000
-500
0
500
1000
z
Sx
0 5 10 15 20 25 30 35 40 45 50-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
z
u
0 5 10 15 20 25 30 35 40 45 50-0.2
-0.15
-0.1
-0.05
0
0.05
z
v
Solution of Mid First Term 2012/2015 Second Year
Page 10 of 14
π₯
π¦
πΆ
Solution of Mid First Term 2012/2015 Second Year
Page 11 of 14
Anathor Solution
(
) ( (
)
)
(
(
)
) ( (
)
)
( (
) (
))
[ ] [ ]
[ ] [
]
{
}
[
] {
} {
}
π€π₯ π§
. .
πΏ
πΏ
π§
π₯
π€π₯ π§
.
πΏ
πΏ
π§
π₯
π
π π΄ π π΅
Solution of Mid First Term 2012/2015 Second Year
Page 12 of 14
( [ ] [ ]
[ ] [
])
( [ ]
[ ]
[ ]
[
]
)
(
[ ]
[ ]
[ ]
[
]
[ ] )
B.Cs:-
At
At
At
At
At
(
[ ]
[ ]
[ ]
[
]
)
Similary
(
[ ]
[ ]
[ ]
[
]
)
Bending moment and Shear force and Reactions
[ ]
[ ]
[ ]
[
]
[ ]
[ ]
[
]
Solution of Mid First Term 2012/2015 Second Year
Page 13 of 14
Max
(
) (
)
(
)
(
)
0 5 10 15 20 25 30 35 40 45-4000
-3000
-2000
-1000
0
1000
2000
z
My
0 5 10 15 20 25 30 35 40 45-1000
-500
0
500
1000
z
Sx
0 5 10 15 20 25 30 35 40 45 50-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
z
u
0 5 10 15 20 25 30 35 40 45 50-0.2
-0.15
-0.1
-0.05
0
0.05
z
v
Solution of Mid First Term 2012/2015 Second Year
Page 14 of 14
( )
N.A
1
2
3
4
π₯
π¦
πΆ
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