frame dr.jafar etaps steps1

8/16/2019 Frame DR.jafar ETAPS Steps1

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Modeling frame have 4 floors which include one column at the middle:

Where it sides:

Length = 10 m

High = 3 m for each floor

Width = 10 m

Compressive strength shall be not less than 17 MPa; so for normal concrete:

f'c column =32 MPa

f'c beam /slab = 28MPa

One way slab = short length/long length =< 0.5 "one way slab"

So our case 2 way slab:

The minimum thickness of two way slab are shown in ACI code 9.5.3.3

Take slab thickness = 130 mm

Cross section for the beam and column = 100*100 mm.

For the support: fixed support

Before entering the load we get this model:


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Now:

Live load-1 unit load- will be present in three cases for each case position which means

direction.

Fx=1KN (Case ONE)

Fy=1 KN (Case TWO)

Mxx= 1 KN.m (Case THREE)

Live load:

Case 1:

Case 1 have four cases under it ,while live Load-Fx=1 KN- will apply on the middle of the

column for first floor and get the displacement , then we will remove the unit load to the

next floor and see the effect on the displacement, repeat this steps for each floor except a

base .

Case 1-1:

When the unit load apply on the first floor:

Deformation of the Frame :


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Show The Displacement of the Frame :

The displacement at the center of the floor:

Story 1 :

Ux1 = Uy1= Uz1= ϴx1= ϴy1= ϴz1=

1.2mm -1.833E-11mm

0mm 0 0.000007 0


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Case 1-2:

The unit load applies on the second floor:



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Story 2 :

Ux = Uy= Uz= ϴx= ϴy= ϴz=

3.7mm -9.635E-11mm

0mm 0 0.000009 0


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Case1-3: The unit load applies on the third floor:



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Story 3 :


3.8mm -1.101E-10

mm

0mm 0 0.000009 0


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Case1-4: the unit load applies on the fourth floor:



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Story 4:


9mm -2.564E-10mm

0mm 0 0.000011 0


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Case 2:

Like case 1 but the unit load will take different position- called Fy in y direction - Case 2 have

four cases under it. Live load-Fy=1KN- will apply on the middle of the column for first floor

and get the displacement , then we will remove the unit load to the next floor and see the

effect on the displacement, repeat this steps for each floor except a base .

Case 2-1:

When the unit load apply on the first floor:



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Show The Displacement of the Frame:


Story 1 :


-1.833E-11mm

1.2mm 0mm -0.000007 0 0


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Case 2-2:




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Story 2 :

Ux = Uy= Uz= ϴx= ϴy= ϴz=

-6.329E-11mm

2.5 mm 0 mm -0.000009 0 0


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Case2-3: The unit load applies on the third floor:



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Story 3 :


-1.101E-10

mm

3.8 mm 0 mm -0.000009 0 0


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Case2-4: the unit load applies on the fourth floor:



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Story 4:Ux1 = Uy1= Uz1= ϴx1= ϴy1= ϴz1=

-1.35E-10mm

5.1 mm 0 mm -0.00001 0 0


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Case 3: This case will take z-direction and the same steps that we did at previous cases will

be repeat.

Case 3-1:

The unit load applies on the first floor:



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Story 1 :


0mm 0mm 9.874E-03mm

0 0 0


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Case 3-2:




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Story 2 :


0mm 0mm 1.813E-02mm

0 0 0


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Case 3-3:

The unit load applies on the third floor:



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Show The Displacement of the Frame


Story 3 :


0mm 0mm 2.610E-02mm

0 0 0


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Case 3-4:

The unit load applies on the third floor:



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Show the Displacement of the Frame


Story 4:


0mm 0mm 3.504E-02mm

0 0 0


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Case 4-1:

Now we will move from transitional to rotational load. The unit load will be applied on the

first floor in X direction,Mx=1 KN.m:



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Story 1 :


0mm -7.493E-03mm

0mm 0.000072 0 0


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Case 4-2:

The unit load will be applied on the second floor:



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Story 2 :


0mm -8.609E-03mm

0mm 0.000072 0 0


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Case 4-3:

The unit load will be applied on the third floor:



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Story 3 :


0mm -9.229E-03mm

0mm 0.000072 0 0


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Case 4-4:

The unit load will be applied on the fourth floor:



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Show the Displacement of the Frame:


Story 4 :


0mm -9.642E-03mm

0mm 0.000074 0 0


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Case 5-1:

The unit load will be applied on the first floor in y direction,My=1 KN.m:



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Story 1 :Ux1 = Uy1= Uz1= ϴx1= ϴy1= ϴz1=

7.493E-03mm

0mm 0mm 0 0.000072 0


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Case 5-2:




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Story 2 :


8.609E-03mm

0mm 0mm 0 0.000072 0


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Case 5-3:

The unit load will be applied on the third floor in y direction:



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Story 3 :


9.229E-03mm

0mm 0mm 0 0.000072 0


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Case 5-4:

The unit load will be applied on the fourth floor :



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Story 4 :


9.642E-03mm

0mm 0mm 0 0.000074 0


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Case 6-1:

The unit load will be applied on the first floor in Z direction,MZ=1 KN.m:



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Story 1 :


1.375E-12mm

0mm 0mm 0 0 0.000045


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Case 6-2:




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Story 2 :


5.201E-12mm

-3.052E-12mm

0mm 0 0 0.000086


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Case 6-3:

The unit load will be applied on the third floor:



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Story 3 :

Ux1 = Uy1= Uz1= ϴx1= ϴy1= ϴz1= 5.355E-12

mm-7.217E-12

mm0mm 0 0 0.000126


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Case 6-4:

The unit load will be applied on the fourth floor:



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Story 4 :


2.751E-12mm

-1.536E-11mm

0mm 0 0 0.000166

frame dr.jafar etaps steps1

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