V. SNiP SP16 2017 - Column in compression
Design a column per the SP 16.13330.2017 code.
Details
A 6.78 m tall, simply supported column has a Russian K2-30 section. The column is subject to a 1,500 kN axial load. The steel used has a modulus of elasticity of 206,000 MPa and a Ry = 239 MPa. γc1 = 1, γc2 = 1
Section Properties
D = 300 mm
B = 300 mm
tf = 15 mm
tw = 10 mm
A = 119.78 cm2
Ix = 20,410 cm4
Iy = 6,755 cm4
rx = 13.05 cm
ry = 7.51 cm
J = 76.5 cm4
Validation
Check for Axial Force
Need to satisfy the following equation per Cl. 7.1.1:
(Eq. 5) |
Thus, the ratio is
Check the slenderness per Cl. 10.4.1. Limit the slenderness to 120.
Thus, the ratio is 90.28 / 120 = 0.75
Check Cl. 7.1.3
Therefore,
Need to satisfy the following equation:
(Eq. 7)( |
= | ||
= |
From Table 7, note 2, α = 0.04 and β = 0.14.
Thus, the ratio is
Check Cl. 7.3.2
Design height of the cross-section wall, hef = 240 mm (Cl. 7.3.1)
Since , (per F.(24), Table 9)
, OK
Check Cl. 7.3.8
Design width of the cross-section wall, bef = b/2 - 2×tw = 130 mm
Since , (per F.(37), Table 10)
, OK
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\Russia\SNiP SP16 2017 - Column in compression.STD is typically installed with the program.
- The slenderness for compression member is limited to 120 by the CMN 2 parameter.
- The steel grade of S255B-1 (for K type sections) is specified by SGR 20.
- The stress strain state is indicated by TB 1.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 08/31/2020
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 6.78 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+08
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 253200 FU 407800 RY 1.5 RT 1.2
END DEFINE MATERIAL
****************************************
MEMBER PROPERTY RUSSIAN
1 TABLE ST K2-30
****************************************
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
****************************************
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FY -1500
********************************
PERFORM ANALYSIS
PRINT MEMBER PROP ALL
*********************************
PARAMETER 1
CODE RUSSIAN
TRACK 2 ALL
TB 1 ALL
CMN 2 ALL
SGR 20 ALL
CHECK CODE ALL
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (SP 16.13330.2017) V1.0 ******************************************** ALL UNITS ARE - KN METRE ======================================================================== MEMBER CROSS RESULT/ CRITICAL COND/ RATIO/ LOADING/ SECTION NO. N Mx My LOCATION ======================================================================== 1 I K2-30 PASS SP cl.7.1.3 0.96 1 1.500E+03 C 0.000E+00 0.000E+00 0.000E+00 1 I K2-30 PASS SP cl.7.1.1 0.52 1 1.500E+03 C 0.000E+00 0.000E+00 0.000E+00 1 I K2-30 PASS SP cl.10.4.1C 0.75 1 1.500E+03 C 0.000E+00 0.000E+00 0.000E+00 MATERIAL DATA Steel = C255B SP16.13330 Modulus of elasticity = 206.E+06 kPa Design Strength (Ry) = 239.E+03 kPa SECTION PROPERTIES (units - m, m^2, m^3, m^4) Member Length = 6.78E+00 Gross Area = 1.20E-02 Net Area = 1.20E-02 x-axis y-axis Moment of inertia (I) : 204.E-06 675.E-07 Section modulus (W) : 136.E-05 450.E-06 First moment of area (S) : 751.E-06 342.E-06 Radius of gyration (i) : 131.E-03 751.E-04 Effective Length : 6.78E+00 6.78E+00 Slenderness : 519.E-01 903.E-01 DESIGN DATA (units -kN,m) SP16.13330.2017 Axial force : 150.0E+01 x-axis y-axis Moments : 0.000E+00 0.000E+00 Shear force : 0.000E+00 0.000E+00 Bi-moment : 0.000E+00 Value of Bi-moment not being entered!!! CRITICAL CONDITIONS FOR EACH CLAUSE CHECK F.(7) N/(FI*A*Ry*GammaC)= 150.0E+01/( 5.48E-01* 1.198E-02* 239.0E+03* 1.00E+00)= 9.55E-01=<1 7.3 cl. LAMBDA_w&lt;=LAMBDA_uw= 8.18E-01&lt;= 2.28E+00 OK LAMBDA_f&lt;=LAMBDA_uf= 2.95E-01&lt;= 6.68E-01 OK F.(5) N/(An*Ry*GammaC)= 150.0E+01/( 1.20E-02* 239.0E+03* 1.00E+00)= 5.24E-01=<1 ULTIM. SLENDERNESS >= Lambda_y 120.0E+00 >= 902.8E-01