V. 1x2 Plane Frame Lateral Load
Find the maximum moment due to lateral joint loads in a 1x2 bay plane frame.
Reference
McCormac, J. C., Structural Analysis, Intext Educational Publishers, 3rd edition, 1975, page 388, example 22 - 7.
Problem
Determine the maximum moment in the frame.
| L = 20 ft |
| H3 = 20 kip, H5 = 10 kip |
E and I same for all members.
Two story frame model
Comparison
| Result Type | Theory | STAAD.Pro | Difference |
|---|---|---|---|
| MMax (ft·kip) | 176.40 | 178.01 | 0.9% |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\03 Frames\1x2 Plane Frame Lateral Load.STD is typically installed with the program.
STAAD PLANE : 1X2 PLANE FRAME LATERAL LOAD
START JOB INFORMATION
ENGINEER DATE 17-Sep-18
END JOB INFORMATION
*
* MULTIPLE LEVEL PLANE FRAME WITH HORIZONTAL LOAD.
* REFERENCE 'STRUCTURAL ANALYSIS' BY JACK McCORMACK,
* PAGE 388, PROB 22-7. ANSWER - MAX MOM IN MEMB 1 = 176.4 K-F
*
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 20 0 0; 3 0 20 0; 4 20 20 0; 5 0 40 0; 6 20 40 0;
MEMBER INCIDENCES
1 1 3; 2 2 4; 3 3 5; 4 4 6; 5 3 4; 6 5 6;
MEMBER PROPERTY AMERICAN
1 TO 6 PRIS AX 0.2 IZ 0.1
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 4.176e+06
POISSON 0.3
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 2 FIXED
LOAD 1 HORIZONTAL LOAD
JOINT LOAD
3 FX 20
5 FX 10
PERFORM ANALYSIS
PRINT MEMBER FORCES
FINISH
STAAD Output
MEMBER END FORCES STRUCTURE TYPE = PLANE ----------------- ALL UNITS ARE -- KIP FEET (LOCAL ) MEMBER LOAD JT AXIAL SHEAR-Y SHEAR-Z TORSION MOM-Y MOM-Z 1 1 1 -22.26 15.06 0.00 0.00 0.00 178.01 3 22.26 -15.06 0.00 0.00 0.00 123.16 2 1 2 22.26 14.94 0.00 0.00 0.00 176.73 4 -22.26 -14.94 0.00 0.00 0.00 122.10 3 1 3 -6.51 4.97 0.00 0.00 0.00 34.49 5 6.51 -4.97 0.00 0.00 0.00 64.93 4 1 4 6.51 5.03 0.00 0.00 0.00 35.34 6 -6.51 -5.03 0.00 0.00 0.00 65.24 5 1 3 9.91 -15.75 0.00 0.00 0.00 -157.65 4 -9.91 15.75 0.00 0.00 0.00 -157.44 6 1 5 5.03 -6.51 0.00 0.00 0.00 -64.93 6 -5.03 6.51 0.00 0.00 0.00 -65.24