V. AISI 2016 Hat Section
Determine the flexural strength of a cold-formed hat section according to the AISI S100 2016 specification.
Reference
Cold-Formed Steel Design: AISI Manual. 2013 ed. Washington, D.C.: American Iron and Steel Institute, 2014. Example II-7.
Details
The member is 6' simply supported span. The section is a 3HU4.5X135. The top flange is in compression and is fully braced. Inelastic reserve is not considered.
Member loads:
- Dead load: wDL = 120 plf
- Live load: wLL = 700 plf
Section properties:
- t = 0.135 in (Note that STAAD.Pro uses a thickness of 0.14")
- R = 0.1875 in (Note that STAAD.Pro uses a bend radius of 0.19")
- Area: A = 1.74 in2
- Moment of inertia, weak axis: Iz = 2.47 in4
- Moment of inertia, strong axis: Iy = 8.29 in4
- Section modulus, strong axis: Sy = 1.52 in3
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISI\AISI 2016 Hat Section.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
JOB NAME Fully Braced Hat Section
JOB CLIENT BENTLEY SYSTEMS Inc.
ENGINEER DATE 04-Mar-20
JOB REV 1.0
JOB REF AISI Manual Cold-Formed Steel Design - Vol. 1
ENGINEER NAME Poulami Raha
CHECKER NAME Aksha Saha
APPROVED NAME Carlos Aguera
END JOB INFORMATION
INPUT WIDTH 79
UNIT INCHES KIP
JOINT COORDINATES
1 0 0 0; 2 72 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL_50_AISI
E 29500
POISSON 0.3
DENSITY 0.000283
ALPHA 6.5e-06
DAMP 0.03
G 11153.8
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY COLDFORMED AMERICAN
1 TABLE ST 3HU4.5x135
CONSTANTS
MATERIAL STEEL_50_AISI ALL
SUPPORTS
1 2 FIXED BUT MY MZ
UNIT FEET POUND
LOAD 1 LOADTYPE Dead TITLE DL
MEMBER LOAD
1 UNI GY -120
LOAD 2 LOADTYPE Live TITLE LL
MEMBER LOAD
1 UNI GY -700
UNIT INCHES KIP
PERFORM ANALYSIS
PARAMETER 1
CODE AISI 2016
METHOD LRFD
BEAM 1 ALL
FLX 0 ALL
FU 58 ALL
FYLD 50 ALL
TSA 0 ALL
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISI 2016
METHOD ASD
BEAM 1 ALL
FLX 0 ALL
FU 58 ALL
FYLD 50 ALL
TSA 0 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
FINISH
STAAD.Pro Output
STAAD.Pro CODE CHECKING - (AISI S100-16) [LRFD] (v1.0) ******************************************************** ALL UNITS ARE IN "INCH" AND "KIP " (U.N.O.) |-----------------------------------------------------------------------------| | MEMBER: 1 SECTION:ST 3HU4.5X135 LEN: 72.000 LOC: 36.000 | | STATUS: PASS RATIO: 0.384 REF: Sec. F2 LC: 2 | |-----------------------------------------------------------------------------| | DESIGN FORCES: | | Location: 36.000 Criteria: Sec. F2 LC: 2 | | Fx:(C) 0.000 Fy: 0.000 Fz: 0.000 | | Mx: 0.000 My: 0.000 Mz: -37.800 | |-----------------------------------------------------------------------------| | SECTION PROPERTIES: | | Ag: 1.74000 Az: 1.04085 Ay: 0.31793 | | Cz: 0.00000 Cy: 0.00000 | | Iz: 8.28000 Iy: 2.47000 J: 0.01050 | | Sz: 2.19000 Sy: 1.51609 | | Rz: 2.18143 Ry: 1.19144 Cw: 5.66000 | |-----------------------------------------------------------------------------| | MATERIAL INFO: | | Fy: 50.000 Fu: 58.000 E: 29500.000 G: 11153.000 | |-----------------------------------------------------------------------------| | DESIGN PROPERTIES: | | Member Length: 72.000 Lz: 72.000 Ly: 72.000 Lb: 0.000 | | DESIGN PARAMETERS: | | Kz: 1.000 Ky: 1.000 NSF: 1.000 | |-----------------------------------------------------------------------------| | CRITICAL SLENDERNESS: | |-----------------------------------------------------------------------------| | LC : 1 Actual : 60.431 Allowable : 300.000 Ratio : 0.201 | |-----------------------------------------------------------------------------| | Section Dimension Check | Ratio | Limit | Status | |-----------------------------------------------------------------------------| | Radius To Thickness Ratio | 1.389 | 10.000 | PASS | | Width To Thickness Ratio | 28.556 | 500.000 | PASS | | Web Depth To Thickness Ratio | 17.444 | 200.000 | PASS | |-----------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 4 STAAD.Pro CODE CHECKING - (AISI S100-16) [LRFD] (v1.0) ******************************************************** ALL UNITS ARE IN "INCH" AND "KIP " (U.N.O.) | - MEMBER: 1 (Contd.....) | | | |-----------------------------------------------------------------------------| | Limit States | Load# |Location| Demand | Capacity |Ratio| Reference | |--------------------|-------|--------|----------|----------|-----|-----------| | Tension | - | - | - | 75.690 | - |Sec. D3 | | Yielding | - | - | - | 78.300 | - |Sec. D2 | | Rupture | - | - | - | 75.690 | - |Sec. D3 | | Compression | - | - | - | 56.800 | - |Sec. E3 | | Local Comp | - | - | - | 56.800 | - |Sec. E3 | | Axial Comp | - | - | - | 56.877 | - |Sec. E2 | | Bending | 2 | 36.00 | -37.800 | 98.550 |0.384|Sec. F2 | | Major Local Bend | 2 | 36.00 | -37.800 | 98.568 |0.383|Sec. F3 | | Minor Local Bend | - | - | - | 68.313 | - |Sec. F3 | | Major Sectional | 2 | 36.00 | -37.800 | 98.550 |0.384|Sec. F2 | | Minor Sectional | - | - | - | 68.224 | - |Sec. F2 | | Shear | 2 | 0.00 | 2.100 | 9.061 |0.232|Sec. G2 | | Major Shear (Z) | - | - | - | 29.664 | - |Sec. G2 | | Minor Shear (Y) | 2 | 0.00 | 2.100 | 9.061 |0.232|Sec. G2 | | Interaction | 2 | 36.00 | - | - |0.384|Eq. H1.1-1 | | (Bend+Ten) Int1 | 2 | 36.00 | - | - |0.384|Eq. H1.1-1 | | (Bend+Ten) Int2 | 2 | 36.00 | - | - |0.384|Eq. H1.1-2 | | (Bend+Comp) | 2 | 36.00 | - | - |0.384|Eq. H1.2-1 | | (Bend+Shear) Z | 2 | 36.00 | - | - |0.383|Sec. H2 | |-----------------------------------------------------------------------------| 54. PARAMETER 2 55. CODE AISI 2016 56. METHOD ASD 57. BEAM 1 ALL 58. FLX 0 ALL 59. FU 58 ALL 60. FYLD 50 ALL 61. TSA 0 ALL 62. TRACK 2 ALL 63. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 5 STAAD.Pro CODE CHECKING - (AISI S100-16) [ASD ] (v1.0) ******************************************************** ALL UNITS ARE IN "INCH" AND "KIP " (U.N.O.) |-----------------------------------------------------------------------------| | MEMBER: 1 SECTION:ST 3HU4.5X135 LEN: 72.000 LOC: 36.000 | | STATUS: PASS RATIO: 0.576 REF: Sec. F2 LC: 2 | |-----------------------------------------------------------------------------| | DESIGN FORCES: | | Location: 36.000 Criteria: Sec. F2 LC: 2 | | Fx:(C) 0.000 Fy: 0.000 Fz: 0.000 | | Mx: 0.000 My: 0.000 Mz: -37.800 | |-----------------------------------------------------------------------------| | SECTION PROPERTIES: | | Ag: 1.74000 Az: 1.04085 Ay: 0.31793 | | Cz: 0.00000 Cy: 0.00000 | | Iz: 8.28000 Iy: 2.47000 J: 0.01050 | | Sz: 2.19000 Sy: 1.51609 | | Rz: 2.18143 Ry: 1.19144 Cw: 5.66000 | |-----------------------------------------------------------------------------| | MATERIAL INFO: | | Fy: 50.000 Fu: 58.000 E: 29500.000 G: 11153.000 | |-----------------------------------------------------------------------------| | DESIGN PROPERTIES: | | Member Length: 72.000 Lz: 72.000 Ly: 72.000 Lb: 0.000 | | DESIGN PARAMETERS: | | Kz: 1.000 Ky: 1.000 NSF: 1.000 | |-----------------------------------------------------------------------------| | CRITICAL SLENDERNESS: | |-----------------------------------------------------------------------------| | LC : 1 Actual : 60.431 Allowable : 300.000 Ratio : 0.201 | |-----------------------------------------------------------------------------| | Section Dimension Check | Ratio | Limit | Status | |-----------------------------------------------------------------------------| | Radius To Thickness Ratio | 1.389 | 10.000 | PASS | | Width To Thickness Ratio | 28.556 | 500.000 | PASS | | Web Depth To Thickness Ratio | 17.444 | 200.000 | PASS | |-----------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 6 STAAD.Pro CODE CHECKING - (AISI S100-16) [ASD ] (v1.0) ******************************************************** ALL UNITS ARE IN "INCH" AND "KIP " (U.N.O.) | - MEMBER: 1 (Contd.....) | | | |-----------------------------------------------------------------------------| | Limit States | Load# |Location| Demand | Capacity |Ratio| Reference | |--------------------|-------|--------|----------|----------|-----|-----------| | Tension | - | - | - | 50.460 | - |Sec. D3 | | Yielding | - | - | - | 52.096 | - |Sec. D2 | | Rupture | - | - | - | 50.460 | - |Sec. D3 | | Compression | - | - | - | 37.124 | - |Sec. E3 | | Local Comp | - | - | - | 37.124 | - |Sec. E3 | | Axial Comp | - | - | - | 37.175 | - |Sec. E2 | | Bending | 2 | 36.00 | -37.800 | 65.569 |0.576|Sec. F2 | | Major Local Bend | 2 | 36.00 | -37.800 | 65.581 |0.576|Sec. F3 | | Minor Local Bend | - | - | - | 45.451 | - |Sec. F3 | | Major Sectional | 2 | 36.00 | -37.800 | 65.569 |0.576|Sec. F2 | | Minor Sectional | - | - | - | 45.392 | - |Sec. F2 | | Shear | 2 | 0.00 | 2.100 | 5.961 |0.352|Sec. G2 | | Major Shear (Z) | - | - | - | 19.516 | - |Sec. G2 | | Minor Shear (Y) | 2 | 0.00 | 2.100 | 5.961 |0.352|Sec. G2 | | Interaction | 2 | 36.00 | - | - |0.576|Eq. H1.1-1 | | (Bend+Ten) Int1 | 2 | 36.00 | - | - |0.576|Eq. H1.1-1 | | (Bend+Ten) Int2 | 2 | 36.00 | - | - |0.576|Eq. H1.1-2 | | (Bend+Comp) | 2 | 36.00 | - | - |0.576|Eq. H1.2-1 | | (Bend+Shear) Z | 2 | 36.00 | - | - |0.576|Sec. H2 | |-----------------------------------------------------------------------------|