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REVIEW OF STEEL DESIGN KNOWLEDGE BASE REQUIRED: STRENGTH OF MATERIALS TIMBER DESIGN SOIL MECHANICS STEEL DESIGN

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW:**

Review of AISC Construction Manual (cont): Compact vs. Non- Compact Compact Beam are rolled beam that can achieve the plastic moment. Stress Distribution of I Beam

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW:**

Review of AISC Construction Manual (cont): Compact Sections- are symmetrical about the y-y axis webs/flanges must have certain width-thickness ratios (Spec Section - Table B5.1,P.5-36) compression flange must be adequately braced against lateral buckling When the theoretical yield stress F’y is equal to or exceeded by the yielding stress of 65ksi than the section is compact.

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW:**

Design Procedure for Bending(using Sx) 1. Determine the Maximum Bending Moment 2. Compute the Required Section Modulus based on allowable stresses Fb=.66Fy (compact) [equat. F1-1,Chapt. F1.1] or Fb=.60 Fy (for non compact)[equat. F1-5,Chapt. F1.2] 3. Enter the ASD selection table and find the nearest tabulated value of Sx. The lightest weight and the most economical section that will serve for the yield strength stated is in bold face, and should be selected adjacent to or above the required Sx. 4. Check F’y column to be sure of compact section. 5. Check the lc & lu to make sure of adequate bracing.

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW:**

Note:For Members with Compact or Non-compact sections. Recall lc is the max. unbraced length in feet of the compression flange at which the allowable bending is taken at 0.66 Fy Recall lu is the max. unbraced length in feet of the compression flange for which allowable bending stress may be taken at 0.60 Fy when Cb=1

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW: Recall l, lc, and lu**

if l is the given length between lateral supports then, lc>l use Fb=.66Fy (assuming compact section) lu>l>lc use Fb=.60Fy l>lu use the charts of allowable moments in beams (p to 2-212) where Cb=1 Note: Cb is the bending coefficient dependent upon moment gradient (F1.3) Cb=1 when the bending moment at any point within an unbraced length is larger than that at both ends of this length when frames are braced against joint translation. when considering a conservative value for cantilever

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW: Given:**

Select a beam of Fy=36ksi steel subjected to a bending moment of 125 kip-ft., having its compression flange braced at 6 ft. intervals. Solution: Assume compact section, Fb=0.66Fy=23.8ksi 1. Maximum Bending Moment Given in Problem 2. Sx(reqd)=M/Fb=(125x12)/23.8=63 cu.in. 3. Nearest Tabulated Value W16x W12x Since W16x40 is bold face, it is the lightest suitable section that will serve for that yield strength.

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW: Given:**

Select a beam of Fy=36ksi steel subjected to a bending moment of 125 kip-ft., having its compression flange braced at 6 ft. intervals. Solution contd: 4. A check of the F’y column shows a dash, indicating that F’y is greater than 65 ksi. Therefore, the shape is compact. 5. From the table, Lc=7.4 ft. >6.0 ft. so the bracing is adequate and the assumed allowable stress of .66Fy is correct. Use W16x40

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW:**

Recall: Mr is the beam resisting moment if shape has compact sections if shape has non compact flanges Design Procedure for Bending(using Mr) 1. Enter the ASD selection table and find the nearest tabulated value of Mr. The lightest weight and the most economical section that will serve for the yield strength stated is in bold face, and should be selected adjacent to or above the required Mr.

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW:**

2. Check F’y column to be sure of compact section. 3. Check the lc & lu to make sure of adequate bracing. 4. Remember Mr is only valid for l<lc Given: Select a beam of Fy=36ksi steel subjected to a bending moment of 125 kip-ft., having its compression flange braced at 6 ft. intervals. Solution: Assume compact section, Fb=0.66Fy=23.8ksi 1. Enter Bending Moment Given in Problem Nearest Tabulated Value W16x k-ft W12x k-ft Since W16x40 is bold face, it is the lightest suitable section that will serve for that yield strength.

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**REVIEW OF STEEL DESIGN BASIC STEEL DESIGN REVIEW: Given:**

Select a beam of Fy=36ksi steel subjected to a bending moment of 125 kip-ft., having its compression flange braced at 6 ft. intervals. 3. Check F’y column to be sure of compact section. OK the same as before 4. Check the lc & lu to make sure of adequate bracing. Lc=7.4ft > 6.0ft therefore Mr is valid Use W16x40

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Beams Stephen Krone, DSc, PE University of Toledo.

Beams Stephen Krone, DSc, PE University of Toledo.

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