Determine the suitability of a W14x109 shape to resist axial compression and biaxial bending.
Reference
AISC Allowable Stress Design, 9th Edition,Example 4, page 3-11.
Problem
Mz = 120 ft·kips (strong axis) | |
My = 40 ft·kips (weak axis) | |
Maximum unbraced length of compression flange is 15 ft.
Comparison
Table 1. Comparison of results
Result Type |
Theory |
STAAD.Pro
|
Difference |
Selected section |
OK |
OK (stress ratio = 0.93) |
none |
STAAD Output
STAAD.PRO CODE CHECKING - (AISC 9TH EDITION) v1.0
********************************************
|--------------------------------------------------------------------------|
| Y PROPERTIES |
|************* | IN INCH UNIT |
| * |=============================| ===|=== ------------ |
|MEMBER 1 * | AISC SECTIONS | | AX = 32.00 |
| * | ST W14X109 | | --Z AY = 6.87 |
|DESIGN CODE * | | | AZ = 16.80 |
| AISC-1989 * =============================== ===|=== SY = 61.23 |
| * SZ = 173.43 |
| * |<---LENGTH (FT)= 14.00 --->| RY = 3.74 |
|************* RZ = 6.22 |
| |
| 120.0 (KIP-FEET) |
|PARAMETER | L1 L1 L1 STRESSES |
|IN KIP INCH | L1 L1 L1 IN KIP INCH |
|--------------- + L1 L1 L1 -------------|
| KL/R-Y= 44.95 | L1 L1 L1 FA = 18.78 |
| KL/R-Z= 26.99 + L1 L1 L1 fa = 6.25 |
| UNL = 168.00 |L1 L1 L1 L1 L1 L1 L1 L1 FCZ = 23.76 |
| CB = 1.00 +L1 L1 L1 L1 L1 L1 L1 L1 FTZ = 23.76 |
| CMY = 0.85 |L1 L1 L1 L1 L1 L1 L1 L1 FCY = 27.00 |
| CMZ = 0.85 +L1 L1 L1 L1 L1 L1 L1 L1 FTY = 27.00 |
| FYLD = 36.00 |L1 L1 L1 L1 L1 L1 L1 L1 fbz = 8.30 |
| NSF = 1.00 +---+---+---+---+---+---+---+---+---+---| fby = 7.84 |
| DFF = 0.00 120.0 Fey = 73.91 |
| dff= 0.00 ABSOLUTE MZ ENVELOPE Fez = 205.02 |
| (KL/R)max = 44.95 (WITH LOAD NO.) FV = 14.40 |
| fv = 0.00 |
| |
| MAX FORCE/ MOMENT SUMMARY (KIP-FEET) |
| ------------------------- |
| |
| AXIAL SHEAR-Y SHEAR-Z MOMENT-Y MOMENT-Z |
| |
| VALUE 200.0 0.0 0.0 40.0 120.0 |
| LOCATION 0.0 0.0 0.0 0.0 0.0 |
| LOADING 1 0 0 1 1 |
| |
|**************************************************************************|
|* *|
|* DESIGN SUMMARY (KIP-FEET) *|
|* -------------- *|
|* *|
|* RESULT/ CRITICAL COND/ RATIO/ LOADING/ *|
| FX MY MZ LOCATION |
| ====================================================== |
| PASS AISC- H1-2 0.929 1 |
| 200.00 C 40.00 -120.00 0.00 |
|* *|
| |
|--------------------------------------------------------------------------|
AISC VERIFICATION PROBLEM FOR COMBINED AXIAL + BENDING. -- PAGE NO. 6
47. FINISH