Question added by
محمد محمود عبد الحميد عثمان
, CONSULTANT CIVIL ENGINEER ( ROAD CONSTRUCTION) , CONTRACTOR OFFICE IN ELFAYOUM CITY
Date Posted: 2013/05/21
by
محمد محمود عبد الحميد عثمان , CONSULTANT CIVIL ENGINEER ( ROAD CONSTRUCTION) , CONTRACTOR OFFICE IN ELFAYOUM CITY
post tension is a concrete slab with tension cables instade of steel so if we can design cables in tension case so we can design tension post slab
iam sorry there is some figures will not be appered in my answer :
Cables In Tension
Steel
E =29000 ksi, Poissons Ratio = 0.3
All members are 1.5” diameter steel cable
Joint Loads At Joint D:
F = 50 kips
X
F = -750 kips
Z
To Do
Determine the X-direction displacements at joint D
with and without considering the stiffening affect of
tension in the cables. Use P-Delta analysis to consider
the stiffening affect.
FX = 50k
FZ = -750k
Note: Our intent is that you try this problem on your own first. After you have solved it on your
own, you can step through our solution if desired. If you have problems trying to create the
model, then follow the steps in our solution.
Solution
1. Click the drop down box in the status bar to change the units to kip-ft.
2. From the File menu select New Model…. This displays the Coordinate System Definition
dialog box.
3. In this dialog box
• Select the Cartesian Tab.
• In the Number of Grid Spaces area type 2 in the X direction edit box.
• In the Number of Grid Spaces area type 4 in the Y direction edit box.
• In the Number of Grid Spaces area type 1 in the Z direction edit box.
• In the Grid Spacing area type 3 in the X Direction edit box.
• In the Grid Spacing area type 2 in the Y Direction edit box.
• In the Grid Spacing area type 10 in the Z Direction edit box.
• Click the OK button.
4. Click in the window titled X-Y Plane @ Z=10 to make sure it is active. The window is
highlighted when it is active. The screen appears as shown in Figure E-1.
5. Click the Draw Special Joint button on the side toolbar or select Add Special Joint
from the Draw menu.
6. Click on the grid intersection labeled “A” in Figure E-1 to enter a joint at (-3, -2, 10).
7. Click on the grid intersection labeled “B” in Figure E-1 to enter a joint at (0, 4, 10).
8. Click on the grid intersection labeled “C” in Figure E-1 to enter a joint at (3, -2, 10).
9. Click the Down One Gridline button to move to the X-Y Plane @ Z=0.
10. Click on the origin to enter a joint at (0, 0, 0).
11. Click in the window titled 3-D View to activate it. The screen now appears as shown in
Figure E-2.
12. Click the Draw Frame Element button on the side toolbar or select Draw Frame
Element from the Draw menu.
13. Click on the point labeled “D” and then the point labeled “A” in Figure E-2 and press the
Enter key on the keyboard to draw the first frame (cable) element.
14. Click on the point labeled “D” and then the point labeled “B” in Figure E-2 and press the
Enter key on the keyboard to draw the next frame (cable) element.
15. Click on the point labeled “D” and then the point labeled “C” in Figure E-2 and press the
Enter key on the keyboard to draw the last frame (cable) element.
16. Click the Pointer button to exit Draw Mode and enter Select Mode.
17. Click on the joints identified as A, B and C in Figure E-2 to select them.
18. From the Assign menu, choose Joint, and then Restraints…from the submenu. This will
display the Joint Restraints dialog box.
19. In this dialog box:
• Verify that the Translation 1, Translation 2 and Translation 3 boxes are checked.
• Verify that the Rotation About 1, Rotation About 2 and Rotation About 3 boxes are not
checked.
• Click the OK button.
20. From the Define menu select Static Load Cases…. This will display the Define Static
Load Case Names dialog box.
21. In this dialog box:
• Type VERT in the Load edit box.
• Type 0 in the Self weight Multiplier box.
• Click the Change Load button
• Type LAT in the Load edit box.
• Select QUAKE from the Type drop-down box.
• Click the Add New Load button.
• Click the OK button.
22. Select the joint identified as D in Figure E-2 by clicking on it.
23. From the Assign menu select Joint Static Loads... and then Forces... from the submenu to
display the Joint Forces dialog box.
24. In this dialog box:
• Verify VERT is selected in the Load Case name drop-down box.
• Type -750 in the Force Global Z edit box.
• Click the OK button.
25. Select the joint identified as D in Figure E-2 by clicking on it.
26. From the Assign menu select Joint Static Loads... and then Forces... from the submenu to
display the Joint Forces dialog box.
27. In this dialog box:
• Select LAT from the Load Case name drop-down box.
• Type 50 in the Force Global X edit box.
• Type 0 in the Force Global Z edit box.
• Click the OK button.
28. Click the Show Undeformed Shape button to remove the display of joint static loads.
29. Click the drop down box in the status bar to change the units to kip-in.
30. From the Define menu select Materials... to display the Define Materials dialog box.
31. Click on STEEL in the Materials area to highlight (select) it, and then click the
Modify/Show Material button. The Material Property Data dialog box is displayed.
32. In this dialog box:
• Verify that the Modulus of Elasticity is 29000.
• Verify that Poisson’s Ratio is 0.3
• Click the OK button twice to exit all dialog boxes.
33. From the Define menu select Frame Sections... to display the Define Frame Sections
dialog box.
34. In this dialog box:
• Click the drop-down box that says Add I/Wide Flange and select the Add Circle option.
This displays the Circle Section dialog box.
• In this dialog box:
À Type CABLE in the Section Name edit box.
À Verify that the selected material in the Material drop-down box is STEEL.
À Type 1.5 in the Diameter (t3) edit box.
À Click the OK button twice to exit all dialog boxes.
35. Select the three frame elements in the 3-D View window by clicking on them.
36. From the Assign menu select Frame and then Sections... from the submenu to display the
Define Frame Sections dialog box.
37. In this dialog box:
• Click on CABLE in the Frame Sections area to highlight it.
• Click the OK button.
38. Click the Show Undeformed Shape button to remove the display of frame sections.
39. Click the Run Analysis button to run the analysis.
40. When the analysis is complete check the messages in the Analysis window (there should be
no warnings or errors) and then click the OK button to close the Analysis window.
41. Click the drop down box in the status bar to change the units to kip-in.
42. Click in the window with the 3-D View to make sure it is active.
43. Click the Display Static Deformed Shape button (or select Show Deformed Shape…
from the Display menu). The Deformed Shape dialog box appears.
44. In this dialog box:
• Select LAT Load Case from the Load drop-down box.
• Click the OK button.
45. Right click on the bottom joint (the one labeled “D” in the problem statement) to see its
displacement. Note the X-direction displacement of this joint. This is the displacement
without considering the stiffening affect of the tension in the cables.
46. Click the Lock/Unlock Model button on the main toolbar to unlock the model. Click
the OK button when asked if it is OK to delete.
47. From the Analyze menu select Set Options... to display the Analysis Options dialog box.
48. In this dialog box:
• Check the Include P-Delta check box.
• Click the Set P-Delta Parameters button to display the P-Delta Parameters dialog box.
• In this dialog box:
À In the Iteration Controls area type 5 in the Maximum Iterations edit box.
À Accept the other default values in the Iteration Controls area.
À In the P-Delta Load Combination area verify that the Load Case list box says VERT
and the Scale Factor list box says 1.
À Click the OK button twice to exit all dialog boxes.
49. Click the Run Analysis button to run the analysis.
50. When the analysis is complete check the messages in the Analysis window (there should be
no warnings or errors) and then click the OK button to close the Analysis window.
51. Click the drop down box in the status bar to change the units to kip-in.
52. Click in the window with the 3-D View to make sure it is active.
53. Click the Display Static Deformed Shape button (or select Show Deformed Shape…
from the Display menu). The Deformed Shape dialog box appears.
54. In this dialog box:
• Select LAT Load Case from the Load drop-down box.
• Click the OK button.
55. Right click on the bottom joint (the one labeled “D” in the problem statement) to see its
displacement. Note the X-direction displacement of this joint. This is the displacement
with the stiffening affect of the tension in the cables considered. Notice the difference
between this displacement and that noted in step 45.