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Composite Sections and Steel Beam Design Architecture 324 Structures II Composite Sections and Steel Beam Design Steel Beam Selection - ASD Composite Sections Analysis Method PvB University of Michigan, TCAUP Structures II Slide 2/21

Steel W-sections for beams and columns Standard section shapes: W – wide flange S – american standard beam C – american standard channel L – angle WT or ST – structural T Pipe Structural Tubing GSI Source: University of Michigan, Department of Architecture University of Michigan, TCAUP Structures II Slide 3/21

Steel W-sections for beams and columns Closer to square Thicker web & flange Beams: Deeper sections Flange thicker than web Source: University of Michigan, Department of Architecture GSI Source: University of Michigan, Department of Architecture University of Michigan, TCAUP Structures II Slide 4/21

Steel W-sections for beams and columns Closer to square Thicker web & flange Beams: Deeper sections Flange thicker than web http://www.flickr.com/photos/gregor_y/38137970/ CC# Attribution-Share Alike 2.0 Generic Attribution. gregor y CC:BY-SA Gregor_y (flickr) http://creativecommons.org/licenses/by-sa/2.0/ University of Michigan, TCAUP Structures II Slide 5/21

Steel Beams by ASD Yield Stress Values Allowable Flexure Stress A36 Carbon Steel Fy = 36 ksi A992 High Strength Fy = 50 ksi Allowable Flexure Stress Fb = 0.66 Fy • = Lc Compact Section Braced against LTB (l <Lc) Fb = 0.60 Fy ° = Lu Compact or Not Lc < l < Lu Fb < 0.60 Fy LTB failure mode (l >Lu) Allowable Shear Stress Fv = 0.40 Fy fv=V/(twd) [1] Manual of Steel Construction Allowable Stress Design, 9th ed. 1989 AISC ISBN 1-56424-000-2 p. 2-175 Source: AISC, Manual of Steel Construction Allowable Stress Design, 9th ed. 1989 University of Michigan, TCAUP Structures II Slide 6/21

Section Modulus Table Calculate Required Moment Assume Allowable Stress Fb = 0.66Fy = 24 ksi (A36) Fb = 0.60Fy = 21.6 ksi (A36) Using the flexure equation, set fb=Fb and solve for S Choose a section based on S from the table (D-35 and D-36) Bold faced sections are lighter F’y is the stress up to which the section is compact (•• is ok for all grades of Fy) [2] Structural Principles, I. Engel 1984 ISBN 0-13-854019-5 P. 354 Source: Structural Principles, I. Engel 1984 University of Michigan, TCAUP Structures II Slide 7/21