Steel Buildings in Europe

Title APPENDIX D Worked Example: Design of portal frame using elastic analysis 43 of 44 4 - 124 9,4 210 104 17,2 Area of T-section: A f = 4590 mm 2 Second moment of area about the minor axis: I f,z =1328  10 4 mm 4 Compression in the T-section The total equivalent compression in the T-section is calculated for cross-section No.1 by adding the direct axial compression and the compression due to bending. N Ed,f = f el,y Ed f Ed A W M A N A    = 4590 10 4527 661 10 15045 4590 129 3 6      = 670 kN Verification of buckling resistance about the minor axis Buckling curve c is used for hot rolled sections   z  0,49  1 = y f E  = 355 210000  = 76,4 i f,z = f f,z A I = 4590 10 1328 4  = 53,8 f,z  = f,z 1 cr 1  i L = 76, 4 1 53,8 2740  = 0,667  z =     2 f,z z f,z 0,2 0,51        z =     2 0,51 0,49 0,667 0,2 0,667    = 0,837 EN 1993-1-1 §6.3.1.2  z = 2 f,z 2 z z 1      = 2 2 0, 667 0,837 0,837 1   = 0,745 EN 1993-1-1 §6.3.1.2 N b,z,Rd = M0 y z   Af = 3 10 1, 0 355 4590 0, 745    = 1214 kN N Ed,f = 670 kN < 1214 kN OK