# EX. UK-5 Support Settlement on a Portal Frame

This example demonstrates the application of support displacement load (also known as a sinking support) on a space frame structure.

This problem is installed with the program by default to C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\Sample Models\UK\UK-5 Support Settlement on a Portal Frame.STD when you install the program.

### Example Problem No. 5

Where:

• L1 = 3.0m
• L2 = 6.0m

Actual input is shown in bold lettering followed by explanation.

`    STAAD SPACE TEST FOR SUPPORT DISPLACEMENT`

Every input has to start with the term STAAD. The word SPACE signifies that the structure is a space frame structure (3-D) and the geometry is defined through X, Y and Z coordinates.

`    UNITS METER KNS`

Defines the input units for the data that follows.

```    JOINT COORDINATES
1 0.0 0.0 0.0 ; 2 0.0 3.0 0.0
3 6.0 3.0 0.0 ; 4 6.0 0.0 0.0
5 6.0 3.0 6.0 ; 6 6.0 0.0. 6.0```

Joint number followed by X, Y and Z coordinates are provided above.

Note: Semicolons (;) are used as line separators to allow for input of multiple sets of data on one line.
```    MEMBER INCIDENCE
1 1 2 3
4 3 5 ; 5 5 6 ```

Defines the members by the joints to which they are connected.

```    UNIT MMS
MEMB PROP
1 TO 5 PRIS AX 6450 IZ 1.249E+08 IY 1.249E+08 IX 4.162E+06```

Member properties have been defined above using the PRISMATIC attribute. Values of AX (area), IZ (moment of inertia about major axis), IY (moment of inertia about minor axis) and IX (torsional constant) are provided in MMS unit.

```    DEFINE MATERIAL START
ISOTROPIC STEEL
E 210.
POISSON 0.3
DENSITY 7.68191e-008
ALPHA 6e-006
DAMP 0.03
TYPE STEEL
STRENGTH FY 0.24821 FU 0.399894 RY 1.5 RT 1.2
END DEFINE MATERIAL
CONSTANTS
MATERIAL STEEL ALL```

Material are defined using the DEFINE MATERIAL command and then assigned using the CONSTANT command.

```    SUPPORT
1 4 6 FIXED ```

Joints 1, 4 and 6 are fixed supports.

`    LOADING 1 SINKING SUPPORT `

Load case 1 is initiated followed by a title.

```    SUPPORT DISPLACEMENT LOAD
4 FY –15```

Load 1 is a support displacement load which is also commonly known as a sinking support. FY signifies that the support settlement is in the global Y direction and the value of this settlement is 15mm downward.

`    PERFORM ANALYSIS`

This command instructs the program to proceed with the analysis.

`    PRINT ANALYSIS RESULTS`

The above PRINT command instructs the program to print joint displacements, support reactions and member forces.

`    FINISH`

This command terminates the STAAD run.

## Input File

``````STAAD SPACE TEST FOR SUPPORT DISPLACEMENT
UNITS METER KNS
JOINT COORDINATES
1 0.0 0.0 0.0 ; 2 0.0 3.0 0.0
3 6.0 3.0 0.0 ; 4 6.0 0.0 0.0
5 6.0 3.0 6.0 ; 6 6.0 0.0 6.0
MEMBER INCIDENCE
1 1 2 3
4 3 5 ; 5 5 6
UNIT MMS
MEMB PROP
1 TO 5 PRIS AX 6450 IZ 1.249E+08 IY 1.249E+08 IX 4.162E+06
DEFINE MATERIAL START
ISOTROPIC STEEL
E 210.
POISSON 0.3
DENSITY 7.68191e-008
ALPHA 6e-006
DAMP 0.03
TYPE STEEL
STRENGTH FY 0.24821 FU 0.399894 RY 1.5 RT 1.2
END DEFINE MATERIAL
CONSTANTS
MATERIAL STEEL ALL
SUPPORT
1 4 6 FIXED
4 FY -15.
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
FINISH
``````

```                                                                  PAGE NO.    1
****************************************************
*                                                  *
*           Version  22.08.00.***                  *
*           Proprietary Program of                 *
*           Bentley Systems, Inc.                  *
*           Date=    OCT 19, 2021                  *
*           Time=    17:54:26                      *
*                                                  *
*  Licensed to: Bentley Systems Inc                *
****************************************************
1. STAAD SPACE TEST FOR SUPPORT DISPLACEMENT
INPUT FILE: UK-5 Support Settlement on a Portal Frame.STD
2. UNITS METER KNS
3. JOINT COORDINATES
4. 1 0.0 0.0 0.0 ; 2 0.0 3.0 0.0
5. 3 6.0 3.0 0.0 ; 4 6.0 0.0 0.0
6. 5 6.0 3.0 6.0 ; 6 6.0 0.0 6.0
7. MEMBER INCIDENCE
8. 1 1 2 3
9. 4 3 5 ; 5 5 6
10. UNIT MMS
11. MEMB PROP
12. 1 TO 5 PRIS AX 6450 IZ 1.249E+08 IY 1.249E+08 IX 4.162E+06
13. DEFINE MATERIAL START
14. ISOTROPIC STEEL
15. E 210.
16. POISSON 0.3
17. DENSITY 7.68191E-008
18. ALPHA 6E-006
19. DAMP 0.03
20. TYPE STEEL
21. STRENGTH FY 0.24821 FU 0.399894 RY 1.5 RT 1.2
22. END DEFINE MATERIAL
23. CONSTANTS
24. MATERIAL STEEL ALL
25. SUPPORT
26. 1 4 6 FIXED
29. 4 FY -15.
30. PERFORM ANALYSIS
TEST FOR SUPPORT DISPLACEMENT                            -- PAGE NO.    2
P R O B L E M   S T A T I S T I C S
-----------------------------------
NUMBER OF JOINTS          6  NUMBER OF MEMBERS       5
NUMBER OF PLATES          0  NUMBER OF SOLIDS        0
NUMBER OF SURFACES        0  NUMBER OF SUPPORTS      3
Using 64-bit analysis engine.
SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER
TOTAL      PRIMARY LOAD CASES =     1, TOTAL DEGREES OF FREEDOM =      18
TOTAL LOAD COMBINATION  CASES =     0  SO FAR.
31. PRINT ANALYSIS RESULTS
ANALYSIS RESULTS
TEST FOR SUPPORT DISPLACEMENT                            -- PAGE NO.    3
JOINT DISPLACEMENT (CM   RADIANS)    STRUCTURE TYPE = SPACE
------------------
JOINT  LOAD   X-TRANS   Y-TRANS   Z-TRANS   X-ROTAN   Y-ROTAN   Z-ROTAN
1    1     0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
2    1     0.2737   -0.0012   -0.0323   -0.0002    0.0006   -0.0019
3    1     0.2735   -1.4975   -0.2735   -0.0018    0.0000   -0.0018
4    1     0.0000   -1.5000    0.0000    0.0000    0.0000    0.0000
5    1     0.0323   -0.0012   -0.2737   -0.0019   -0.0006   -0.0002
6    1     0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
TEST FOR SUPPORT DISPLACEMENT                            -- PAGE NO.    4
SUPPORT REACTIONS -UNIT KNS  MMS     STRUCTURE TYPE = SPACE
-----------------
JOINT  LOAD   FORCE-X   FORCE-Y   FORCE-Z     MOM-X     MOM-Y     MOM Z
1    1      0.46      5.63      0.90   2780.50    -67.13  15492.89
4    1      0.43    -11.26     -0.43  15509.16      0.00  15509.16
6    1     -0.90      5.63     -0.46  15492.89     67.13   2780.50
TEST FOR SUPPORT DISPLACEMENT                            -- PAGE NO.    5
MEMBER END FORCES    STRUCTURE TYPE = SPACE
-----------------
ALL UNITS ARE -- KNS  MMS      (LOCAL )
MEMBER  LOAD  JT     AXIAL   SHEAR-Y  SHEAR-Z   TORSION     MOM-Y      MOM-Z
1    1     1      5.63     -0.46     0.90    -67.13  -2780.50   15492.89
2     -5.63      0.46    -0.90     67.13     94.34  -16878.26
2    1     2      0.46      5.63     0.90     94.34    -67.13   16878.26
3     -0.46     -5.63    -0.90    -94.34  -5305.18   16904.29
3    1     3    -11.26     -0.43     0.43     -0.00 -16809.94  -16809.94
4     11.26      0.43    -0.43      0.00  15509.16   15509.16
4    1     3      0.46     -5.63    -0.90    -94.34   5305.18  -16904.29
5     -0.46      5.63     0.90     94.34     67.13  -16878.26
5    1     5      5.63      0.90     0.46     67.13 -16878.26     -94.34
6     -5.63     -0.90    -0.46    -67.13  15492.89    2780.50
************** END OF LATEST ANALYSIS RESULT **************
32. FINISH
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= OCT 19,2021   TIME= 17:54:27 ****
TEST FOR SUPPORT DISPLACEMENT                            -- PAGE NO.    6
************************************************************