# V. 2D Portal Reactions Sidesway 1

To find the displacements at the nodes of a frame due to movements of supports.

## Reference

C.K. Wang, Intermediate Structural Analysis, International Student Edition, 1983, McGraw Hill, Section 2.11, p47.

## Problem

Calculate the deflections at node B and support D.

### Frame subject to imposed displacements

Load Cases:

1. Vertical displacement of 1 cm at Node A
2. Vertical displacement of 1 cm at Node B

## Comparison

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Load Case 1 Horizontal displacement at node B (cm) 1.25 -1.25 none
Rotation at node B 0.001667 0.0017 none
Horizontal displacement at node D (cm) 0.4167 -0.4167 none
Load Case 2 Horizontal displacement at node B (cm) 1.25 1.25 none
Rotation at node B 0.001667 0.0017 none
Horizontal displacement at node D (cm) 0.4167 0.4167 none

## STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\03 Frames\2D Portal Reactions Sidesway 1.STD is typically installed with the program.

``````STAAD PLANE DEFLECTIONS DUE TO MOVEMENT OF SUPPORTS
START JOB INFORMATION
ENGINEER DATE 17-Sep-18
END JOB INFORMATION
*
* REFERENCE: INTERMEDIATE STRUCTURAL ANALYSIS, C.K.WANG
*     INTERNATIONAL STUDENT EDITION, 1983, MCGRAW HILL
*     SECTION 2.11, PAGE 47
*
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 7.5 0; 3 6 7.5 0; 4 6 2.5 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
UNIT CM KN
MEMBER PROPERTY AMERICAN
1 3 PRIS AX 2400 IZ 720000
2 PRIS AX 4800 IZ 1.44e+06
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 2171.84
POISSON 0.17
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 PINNED
4 FIXED BUT FX MZ
LOAD 1
SUPPORT DISPLACEMENT LOAD
1 FY -1
LOAD 2
SUPPORT DISPLACEMENT LOAD
4 FY -1
PERFORM ANALYSIS
LOAD LIST 1
PRINT JOINT DISPLACEMENTS
LOAD LIST 2
PRINT JOINT DISPLACEMENTS
FINISH
``````

## STAADÂ Output

```   JOINT DISPLACEMENT (CM   RADIANS)    STRUCTURE TYPE = PLANE
------------------
JOINT  LOAD   X-TRANS   Y-TRANS   Z-TRANS   X-ROTAN   Y-ROTAN   Z-ROTAN
1    1     0.0000   -1.0000    0.0000    0.0000    0.0000    0.0017
2    1    -1.2500   -1.0000    0.0000    0.0000    0.0000    0.0017
3    1    -1.2500    0.0000    0.0000    0.0000    0.0000    0.0017
4    1    -0.4167    0.0000    0.0000    0.0000    0.0000    0.0017
************** END OF LATEST ANALYSIS RESULT **************
38. LOAD LIST 2
39. PRINT JOINT DISPLACEMENTS
JOINT    DISPLACE
DEFLECTIONS DUE TO MOVEMENT OF SUPPORTS                  -- PAGE NO.    4
JOINT DISPLACEMENT (CM   RADIANS)    STRUCTURE TYPE = PLANE
------------------
JOINT  LOAD   X-TRANS   Y-TRANS   Z-TRANS   X-ROTAN   Y-ROTAN   Z-ROTAN
1    2     0.0000    0.0000    0.0000    0.0000    0.0000   -0.0017
2    2     1.2500    0.0000    0.0000    0.0000    0.0000   -0.0017
3    2     1.2500   -1.0000    0.0000    0.0000    0.0000   -0.0017
4    2     0.4167   -1.0000    0.0000    0.0000    0.0000   -0.0017
```