V. AISI 2016 2CU F2F Tensile Strength
Verify the axial tensile strength of a double cold-formed channel section according to the AISI S100 2016 specification using both the LRFD and ASD methods.
Details
The member is 10 ft long cantilever. The section used is a pair of 600T125-54 channels in a front-to-front configuration (no spacing between channel toes). Assume a net section area of 0.90× the gross section area.
Section Properties
Properties of a 600T125-54 (listed as a 600CU125-54 in STAAD.Pro):
- Cross-section area, A = 0.48 in2
Material Properties
- E = 29,000 ksi
- G = 11,200 ksi
- Fy = 36 ksi
- Fu = 58 ksi
Calculations
Section Properties
- Cross-section area, A = 2× 0.48 = 0.96 in2
The net area of the cross section:
An = 0.9× (0.96) = 0.864 in2
Tensile Yielding of Gross Section
| Tn = Ag×Fy = 0.96 × 36 = 34.56 | (Eq. D2-1) |
- LRFD: ϕtTn = 0.90 × 34.56 = 31.10 kips
- ASD: Tn/Ωt = 34.56 / 1.67 = 20.69 kips
Tensile Rupture of Net Section
| Tn = An×Fy = 0.864 × 58 = 50.11 | (Eq. D3-1) |
- LRFD: ϕtTn = 0.75 × 50.11 = 37.58 kips
- ASD: Tn/Ωt = 50.11 / 2.00 = 25.06 kips
Comparison
| Result Type | Reference | STAAD.Pro | Difference | Comments | |
|---|---|---|---|---|---|
| LRFD | Tensile Yielding of Gross Section, ϕtTn, (kN) | 31.10 | 31.104 | negligible | |
| Tensile Rupture of Net Section, ϕtTn, (kN) | 37.58 | 37.584 | negligible | ||
| ASD | Tensile Yielding of Gross Section, Tn/Ωt, (kN) | 20.69 | 20.695 | negligible | |
| Tensile Rupture of Net Section, Tn/Ωt, (kN) | 25.06 | 25.056 | negligible | ||
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISI\AISI 2016 2CU F2F Tensile Strength.STD is typically installed with the program.
The following design parameters are used:
- The net section factor is specified using the NSF 0.9 parameter.
- Unreinforced webs are specified using the TSA 0 parameter.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 11-Jan-22
ENGINEER NAME TK
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 10 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
G 1.6128e+06
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
UNIT INCHES KIP
MEMBER PROPERTY COLDFORMED AMERICAN
1 TABLE FR 600CU125-54
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FX 10
PERFORM ANALYSIS
PARAMETER 1
CODE AISI 2016
METHOD LRFD
FYLD 36 ALL
FU 58 ALL
FLX 0 ALL
NSF 0.9 ALL
TSA 0 ALL
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISI 2016
METHOD ASD
FYLD 36 ALL
FU 58 ALL
FLX 0 ALL
NSF 0.9 ALL
TSA 0 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD Output
STAAD.Pro CODE CHECKING - (AISI S100-16) [LRFD] (v1.0) ******************************************************** ALL UNITS ARE IN "INCH" AND "KIP " (U.N.O.) |-----------------------------------------------------------------------------| | MEMBER: 1 SECTION:FR 600CU125-54 LEN: 120.000 LOC: 0.000 | | STATUS: PASS RATIO: 0.322 REF: Sec. D2 LC: 1 | |-----------------------------------------------------------------------------| | DESIGN FORCES: | | Location: 0.000 Criteria: Sec. D2 LC: 1 | | Fx:(T) -10.000 Fy: 0.000 Fz: 0.000 | | Mx: 0.000 My: 0.000 Mz: 0.000 | |-----------------------------------------------------------------------------| | SECTION PROPERTIES: | | Ag: 0.96000 Az: 0.25096 Ay: 0.66958 | | Cz: 0.00000 Cy: 0.00000 | | Iz: 4.68000 Iy: 1.15815 J: 0.00104 | | Sz: 1.51016 Sy: 0.92652 | | Rz: 2.20794 Ry: 1.09837 Cw: 0.00000 | |-----------------------------------------------------------------------------| | MATERIAL INFO: | | Fy: 36.000 Fu: 58.000 E: 29000.000 G: 11200.000 | |-----------------------------------------------------------------------------| | DESIGN PROPERTIES: | | Member Length: 120.000 Lz: 120.000 Ly: 120.000 Lb: 0.000 | | DESIGN PARAMETERS: | | Kz: 1.000 Ky: 1.000 NSF: 0.900 | |-----------------------------------------------------------------------------| | CRITICAL SLENDERNESS: | |-----------------------------------------------------------------------------| | LC : 1 Actual : 109.253 Allowable : 300.000 Ratio : 0.364 | |-----------------------------------------------------------------------------| | Section Dimension Check | Ratio | Limit | Status | |-----------------------------------------------------------------------------| | Radius To Thickness Ratio | 1.500 | 10.000 | PASS | | Width To Thickness Ratio | 17.085 | 500.000 | PASS | | Web Depth To Thickness Ratio | 104.505 | 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 | 1 | 0.00 | -10.000 | 31.104 |0.322|Sec. D2 | | Yielding | 1 | 0.00 | -10.000 | 31.104 |0.322|Sec. D2 | | Rupture | 1 | 0.00 | -10.000 | 37.584 |0.266|Sec. D3 | | Compression | - | - | - | 11.283 | - |Sec. E3 | | Local Comp | - | - | - | 11.283 | - |Sec. E3 | | Axial Comp | - | - | - | 15.671 | - |Sec. E2 | | Bending | - | - | - | 14.721 | - |Sec. F2 | | Major Local Bend | - | - | - | 14.756 | - |Sec. F3 | | Minor Local Bend | - | - | - | 14.846 | - |Sec. F3 | | Major Sectional | - | - | - | 48.929 | - |Sec. F2 | | Minor Sectional | - | - | - | 30.019 | - |Sec. F2 | | LTB Major | - | - | - | 14.721 | - |Sec. F2 | | LTB Minor | - | - | - | 23.956 | - |Sec. F2 | | Shear | - | - | - | 5.150 | - |Sec. G2 | | Major Shear (Z) | - | - | - | 5.150 | - |Sec. G2 | | Minor Shear (Y) | - | - | - | 8.154 | - |Sec. G2 | | Interaction | 1 | 0.00 | - | - |0.322|Eq. H1.1-1 | | (Bend+Ten) Int1 | 1 | 0.00 | - | - |0.322|Eq. H1.1-1 | |-----------------------------------------------------------------------------| 44. PARAMETER 2 45. CODE AISI 2016 46. METHOD ASD 47. FYLD 36 ALL 48. FU 58 ALL 49. FLX 0 ALL 50. NSF 0.9 ALL 51. TSA 0 ALL 52. TRACK 2 ALL 53. CHECK CODE ALL STEEL DESIGN WARNING # 14 ~ Channel front to front member # 1 will be considered welded throughout length. Spacing will not be considered. 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:FR 600CU125-54 LEN: 120.000 LOC: 0.000 | | STATUS: PASS RATIO: 0.483 REF: Sec. D2 LC: 1 | |-----------------------------------------------------------------------------| | DESIGN FORCES: | | Location: 0.000 Criteria: Sec. D2 LC: 1 | | Fx:(T) -10.000 Fy: 0.000 Fz: 0.000 | | Mx: 0.000 My: 0.000 Mz: 0.000 | |-----------------------------------------------------------------------------| | SECTION PROPERTIES: | | Ag: 0.96000 Az: 0.25096 Ay: 0.66958 | | Cz: 0.00000 Cy: 0.00000 | | Iz: 4.68000 Iy: 1.15815 J: 0.00104 | | Sz: 1.51016 Sy: 0.92652 | | Rz: 2.20794 Ry: 1.09837 Cw: 0.00000 | |-----------------------------------------------------------------------------| | MATERIAL INFO: | | Fy: 36.000 Fu: 58.000 E: 29000.000 G: 11200.000 | |-----------------------------------------------------------------------------| | DESIGN PROPERTIES: | | Member Length: 120.000 Lz: 120.000 Ly: 120.000 Lb: 0.000 | | DESIGN PARAMETERS: | | Kz: 1.000 Ky: 1.000 NSF: 0.900 | |-----------------------------------------------------------------------------| | CRITICAL SLENDERNESS: | |-----------------------------------------------------------------------------| | LC : 1 Actual : 109.253 Allowable : 300.000 Ratio : 0.364 | |-----------------------------------------------------------------------------| | Section Dimension Check | Ratio | Limit | Status | |-----------------------------------------------------------------------------| | Radius To Thickness Ratio | 1.500 | 10.000 | PASS | | Width To Thickness Ratio | 17.085 | 500.000 | PASS | | Web Depth To Thickness Ratio | 104.505 | 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 | 1 | 0.00 | -10.000 | 20.695 |0.483|Sec. D2 | | Yielding | 1 | 0.00 | -10.000 | 20.695 |0.483|Sec. D2 | | Rupture | 1 | 0.00 | -10.000 | 25.056 |0.399|Sec. D3 | | Compression | - | - | - | 7.375 | - |Sec. E3 | | Local Comp | - | - | - | 7.375 | - |Sec. E3 | | Axial Comp | - | - | - | 10.242 | - |Sec. E2 | | Bending | - | - | - | 9.795 | - |Sec. F2 | | Major Local Bend | - | - | - | 9.818 | - |Sec. F3 | | Minor Local Bend | - | - | - | 9.878 | - |Sec. F3 | | Major Sectional | - | - | - | 32.554 | - |Sec. F2 | | Minor Sectional | - | - | - | 19.973 | - |Sec. F2 | | LTB Major | - | - | - | 9.795 | - |Sec. F2 | | LTB Minor | - | - | - | 15.939 | - |Sec. F2 | | Shear | - | - | - | 3.388 | - |Sec. G2 | | Major Shear (Z) | - | - | - | 3.388 | - |Sec. G2 | | Minor Shear (Y) | - | - | - | 5.364 | - |Sec. G2 | | Interaction | 1 | 0.00 | - | - |0.483|Eq. H1.1-1 | | (Bend+Ten) Int1 | 1 | 0.00 | - | - |0.483|Eq. H1.1-1 | |-----------------------------------------------------------------------------|