V. 2 Bay Frame Moments and Shear

To find the member forces in a 1x2 bay plane frame with members of rectangular section.

References

Manual of Steel Construction – Allowable Stress Design, AISC, 9th Edition, 1989.

Details

The frame supports a uniformly distributed load and concentrated loads. Calculate the bending moment and shear force at the mid point of the beam of the first bay.

E = 30,000 ksi

Columns are 12"×24", beams are 12"×30"

Figure 1. 2 bay frame

Results

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Load Case 1 Moment , M (in·kips) 3,375 3,360.15 0.4%
Shear, V (kips) 68.75 68.75 none
Load Case 2 Moment, M (in·kips) 2,430 2,425.12 negligible
Shear, V (kips) 22.50 22.68 0.8%

Input

The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples \Verification Models\03 Frames\2 Bay Frame Moments and Shear.STD is typically installed with the program.

STAAD

STAAD PLANE : 2 BAY FRAME MOMENTS AND SHEAR
START JOB INFORMATION
ENGINEER DATE 09-Oct-17
END JOB INFORMATION
*
*  REFERENCE: "MANUAL OF STEEL CONSTRUCTION-ALLOWABLE STRESS DESIGN",
*             AISC, CHICAGO, ILLINOIS, 1989.
*
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 18 0 0; 3 36 0 0; 4 0 10 0; 5 18 10 0; 6 36 10 0;
MEMBER INCIDENCES
1 1 4; 2 2 5; 3 3 6; 4 4 5; 5 5 6;
UNIT INCHES KIP
MEMBER PROPERTY AMERICAN
1 TO 3 PRIS AX 1e+07 IZ 13824
4 5 PRIS AX 1e+07 IZ 27000
MEMBER RELEASE
5 END MZ
4 START MZ
SUPPORTS
1 3 FIXED
2 PINNED
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 30000
POISSON 0.290909
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
UNIT FEET KIP
LOAD 1 VERTICAL POINT LOADS
JOINT LOAD
4 6 FY -50
5 FY -100
MEMBER LOAD
4 CON GY -100 9
5 CON GY -100 9
LOAD 2 VERTICAL UNIFORM LOADS
MEMBER LOAD
4 UNI GY -10
5 UNI GY -10
PERFORM ANALYSIS
UNIT INCHES KIP
SECTION 0.501 MEMB 4
PRINT MEMBER SECTION FORCES LIST 4
FINISH

Output

   MEMBER FORCES AT INTERMEDIATE SECTIONS
   --------------------------------------
   ALL UNITS ARE -- KIP  INCH
 MEMB  LOAD  SEC       AXIAL   SHEAR-Y   SHEAR-Z       MOM-X       MOM-Y       MOM-Z
     4    1  0.50      -0.00    -68.75      0.00        0.00        0.00    -3360.15 
          2  0.50      -0.00    -22.68      0.00        0.00        0.00    -2425.12