V. CSA S16-01 - Wide Flange Beam Interaction Ratio 2
Reference
Handbook of Steel Construction, 9th Edition, H Markham, Ont.: Canadian Institute of Steel Construction, 2007.. p.4-114
Problem
Find the interaction ratio, beam and column resistance.
Given
- E = 200,000 MPa (STEEL).
- Fy = 300 MPa CSA G40.21-M
Simply supported beam/column has a 3.7 m span, Ky is 1.0, Kz 1.0. Factored axial load is 2000 kN and end moments of 200 kN·m and 300 kN·m.
Steel section is W310X118
Comparison
Criteria | Reference | STAAD.Pro | Difference |
---|---|---|---|
Interaction Ratio | 0.940 | 0.941 | negligible |
Beam Resistance (kN·m) | 606 | 605.5 | negligible |
Column Resistance (kN) | 3,850 | 3,849 | negligible |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\Canada\CSA S16-01 - Wide Flange Beam Interaction Ratio 2.STD is typically installed with the program.
STAAD SPACE VERIFICATION CISC HANDBOOK 9TH EDITION PAGE 4-114
START JOB INFORMATION
ENGINEER DATE 14-Nov-18
JOB NAME Verification Example S16-01 : Compression + Major Bending
JOB CLIENT Bentley Systems Inc
JOB REF CISC Hand Book [9th Edition] 4th Printing (Page 4-114)
JOB NO CISC
JOB REV 1.0
JOB PART 1
END JOB INFORMATION
*
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 3.7 0;
*
MEMBER INCIDENCES
1 1 2;
*
MEMBER PROPERTY CANADIAN
1 TABLE ST W310X118
*
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
*
UNIT MMS NEWTON
DEFINE MATERIAL START
ISOTROPIC STEEL_ASTM_A992
E 200000
POISSON 0.3
DENSITY 7.68191e-05
ALPHA 6.5e-06
DAMP 0.03
G 76902.7
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
*
CONSTANTS
MATERIAL STEEL_ASTM_A992 ALL
*
UNIT METER KN
LOAD 1 AXIAL
JOINT LOAD
2 FY -2000
LOAD 2 BENDING MAJOR
JOINT LOAD
2 MZ 200
1 MZ 300
LOAD 3 LOADTYPE None TITLE AXIAL+BENDINGMAJOR
REPEAT LOAD
1 1.0 2 1.0
*
PERFORM ANALYSIS
*
LOAD LIST 3
*
UNIT MMS NEWTON
PARAMETER 1
CODE CANADIAN 2001
TRACK 2 ALL
LY 3700 ALL
LZ 3700 ALL
CMZ 0.4 ALL
FYLD 345 ALL
CHECK CODE ALL
*
STEEL MEMBER TAKE OFF ALL
FINISH
STAAD Output
STAAD.PRO CODE CHECKING - (CAN/CSA-S16-01 ) V2.1
********************************************
ALL UNITS ARE - KNS MET (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W310X118 (CANADIAN SECTIONS)
PASS CSA-13.8.2C 0.941 3
2000.00 C 0.00 300.00 0.00
VERIFICATION CISC HANDBOOK 9TH EDITION PAGE 4-114 -- PAGE NO. 4
ALL UNITS ARE - KNS MET (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
MEMBER PROPERTIES (UNIT = CM)
-----------------------------
CROSS SECTION AREA = 1.50E+02 MEMBER LENGTH = 3.70E+02
IZ = 2.75E+04 SZ = 1.75E+03 PZ = 1.95E+03
IY = 9.02E+03 SY = 5.88E+02 PY = 8.93E+02
IX = 1.60E+02 CW = 1.97E+06
MATERIAL PROPERTIES (UNIT = MPA)
--------------------------------
FYLD = 345.0 FU = 396.7 E = 2.00E+05 G = 7.69E+04
SECTION CAPACITIES (UNIT - KN,M)
---------------------------------
CR1 = 4.658E+03 CR2 = 3.849E+03 SECTION CLASS 2
CRZ = 4.443E+03 CTORFLX = 3.849E+03
TENSILE CAPACITY = 4.553E+03 COMPRESSIVE CAPACITY = 3.849E+03
FACTORED MOMENT RESISTANCE : MRY = 2.773E+02 MRZ = 6.055E+02
MU = 2.300E+03
FACTORED SHEAR RESISTANCE : VRY = 7.657E+02 VRZ = 1.571E+03
MISCELLANEOUS INFORMATION
--------------------------
NET SECTION FACTOR FOR TENSION = 1.000
KL/RY = 47.714 KL/RZ = 27.326 ALLOWABLE KL/R = 200.000
UNSUPPORTED LENGTH OF THE COMPRESSION FLANGE (M) = 3.700
OMEGA-1 (Y-AXIS) = 1.00 OMEGA-1 (Z-AXIS) = 0.40 OMEGA-2 = 1.00
SHEAR FORCE (KNS) : Y AXIS = 1.351E+02 Z AXIS = 0.000E+00
SLENDERNESS RATIO OF WEB (H/W) = 2.32E+01