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Source: STANDARD HANDBOOK OF ENGINEERING CALCULATIONS SECTION 1 CIVIL ENGINEERING PART 1: STRUCTURAL STEEL DESIGN STEEL BEAMS AND PLATE GIRDERS 1.4 Most Economic Section for a Beam with a Continuous Lateral Support under a Uniform Load 1.5 Most Economic Section for a Beam with Intermittent Lateral Support under Uniform Load 1.5 Design of a Beam with Reduced Allowable Stress 1.6 Design of a Cover-Plated Beam 1.8 Design of a Continuous Beam 1.11 Shearing Stress in a Beam—Exact Method 1.12 Shearing Stress in a Beam—Approximate Method 1.12 Moment Capacity of a Welded Plate Girder 1.13 Analysis of a Riveted Plate Girder 1.13 Design of a Welded Plate Girder 1.15 STEEL COLUMNS AND TENSION MEMBERS 1.18 Capacity of a Built-Up Column 1.19 Capacity of a Double-Angle Star Strut 1.19 Section Selection for a Column with Two Effective Lengths 1.20 Stress in Column with Partial Restraint against Rotation 1.21 Lacing of Built-Up Column 1.22 Selection of a Column with a Load at an Intermediate Level 1.23 Design of an Axial Member for Fatigue 1.23 Investigation of a Beam Column 1.24 Application of Beam-Column Factors 1.25 Net Section of a Tension Member 1.25 Design of a Double-Angle Tension Member 1.26 PLASTIC DESIGN OF STEEL STRUCTURES 1.27 Allowable Load on Bar Supported by Rods 1.28 Determination of Section Shape Factors 1.29 Determination of Ultimate Load by the Static Method 1.30 Determining the Ultimate Load by the Mechanism Method 1.31 Analysis of a Fixed-End Beam under Concentrated Load 1.32 Analysis of a Two-Span Beam with Concentrated Loads 1.32 Selection of Sizes for a Continuous Beam 1.34 Mechanism-Method Analysis of a Rectangular Portal Frame 1.36 Analysis of a Rectangular Portal Frame by the Static Method 1.38 Theorem of Composite Mechanisms 1.39 Analysis of an Unsymmetric Rectangular Portal Frame 1.39 Analysis of Gable Frame by Static Method 1.41 Theorem of Virtual Displacements 1.43 Gable-Frame Analysis by Using the Mechanism Method 1.44 Reduction in Plastic-Moment Capacity Caused by Axial Force 1.45 LOAD AND RESISTANCE FACTOR METHOD 1.47 Determining If a Given Beam Is Compact or Noncompact 1.48 Determining Column Axial Shortening with a Specified Load 1.50 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) 1.1 Copyright © 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. CIVIL ENGINEERING 1.2 SECTION ONE Determining the Compressive Strength of a Welded Section 1.50 Determining Beam Flexural Design Strength for Minor- and Major-Axis Bending 1.52 Designing Web Stiffeners for Welded Beams 1.53 Determining the Design Moment and Shear Strength of a Built-up Wide-Flange Welded Beam Section 1.55 Finding the Lightest Section to Support a Specified Load 1.58 Combined Flexure and Compression in Beam-Columns in a Braced Frame 1.60 Selection of Concrete-Filled Steel Column 1.66 Determining Design Compressive Strength of Composite Columns 1.68 Analyzing a Concrete Slab for Composite Action 1.70 Determining the Design Shear Strength of a Beam Web 1.72 Determining a Bearing Plate for a Beam and Its End Reaction 1.73 Determining Beam Length to Eliminate Bearing Plate 1.75 PART 2: HANGERS, CONNECTORS, AND WIND-STRESS ANALYSIS Design of an Eyebar 1.76 Analysis of a Steel Hanger 1.77 Analysis of a Gusset Plate 1.78 Design of a Semirigid Connection 1.79 Riveted Moment Connection 1.80 Design of a Welded Flexible Beam Connection 1.83 Design of a Welded Seated Beam Connection 1.84 Design of a Welded Moment Connection 1.85 Rectangular Knee of Rigid Bent 1.86 Curved Knee of Rigid Bent 1.87 Base Plate for Steel Column Carrying Axial Load 1.88 Base for Steel Column with End Moment 1.89 Grillage Support for Column 1.90 Wind-Stress Analysis by Portal Method 1.92 Wind-Stress Analysis by Cantilever Method 1.94 Wind-Stress Analysis by Slope-Deflection Method 1.96 Wind Drift of a Building 1.98 Reduction in Wind Drift by Using Diagonal Bracing 1.99 Light-Gage Steel Beam with Unstiffened Flange 1.100 Light-Gage Steel Beam with Stiffened Compression Flange 1.101 PART 3: REINFORCED CONCRETE DESIGN OF FLEXURAL MEMBERS BY ULTIMATE-STRENGTH METHOD 1.104 Capacity of a Rectangular Beam 1.106 Design of a Rectangular Beam 1.106 Design of the Reinforcement in a Rectangular Beam of Given Size 1.107 Capacity of a T Beam 1.107 Capacity of a T Beam of Given Size 1.108 Design of Reinforcement in a T Beam of Given Size 1.108 Reinforcement Area for a Doubly Reinforced Rectangular Beam 1.109 Design of Web Reinforcement 1.111 Determination of Bond Stress 1.112 Design of Interior Span of a One-Way Slab 1.113 Analysis of a Two-Way Slab by the Yield-Line Theory 1.115 DESIGN OF FLEXURAL MEMBERS BY THE WORKING-STRESS METHOD 1.117 Stresses in a Rectangular Beam 1.118 Capacity of a Rectangular Beam 1.119 Design of Reinforcement in a Rectangular Beam of Given Size 1.120 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies. 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CIVIL ENGINEERING CIVIL ENGINEERING 1.3 Design of a Rectangular Beam 1.121 Design of Web Reinforcement 1.122 Capacity of a T Beam 1.123 Design of a T Beam Having Concrete Stressed to Capacity 1.124 Design of a T Beam Having Steel Stressed to Capacity 1.125 Reinforcement for Doubly Reinforced Rectangular Beam 1.126 Deflection of a Continuous Beam 1.127 DESIGN OF COMPRESSION MEMBERS BY ULTIMATE-STRENGTH METHOD 1.128 Analysis of a Rectangular Member by Interaction Diagram 1.129 Axial-Load Capacity of Rectangular Member 1.131 Allowable Eccentricity of a Member 1.132 DESIGN OF COMPRESSION MEMBERS BY WORKING-STRESS METHOD 1.132 Design of a Spirally Reinforced Column 1.132 Analysis of a Rectangular Member by Interaction Diagram 1.133 Axial-Load Capacity of a Rectangular Member 1.136 DESIGN OF COLUMN FOOTINGS 1.136 Design of an Isolated Square Footing 1.137 Combined Footing Design 1.138 CANTILEVER RETAINING WALLS 1.141 Design of a Cantilever Retaining Wall 1.142 PART 4: PRESTRESSED CONCRETE Determination of Prestress Shear and Moment 1.147 Stresses in a Beam with Straight Tendons 1.148 Determination of Capacity and Prestressing Force for a Beam with Straight Tendons 1.150 Beam with Deflected Tendons 1.152 Beam with Curved Tendons 1.153 Determination of Section Moduli 1.154 Effect of Increase in Beam Span 1.154 Effect of Beam Overload 1.155 Prestressed-Concrete Beam Design Guides 1.155 Kern Distances 1.156 Magnel Diagram Construction 1.157 Camber of a Beam at Transfer 1.158 Design of a Double-T Roof Beam 1.159 Design of a Posttensioned Girder 1.162 Properties of a Parabolic Arc 1.166 Alternative Methods of Analyzing a Beam with Parabolic Trajectory 1.167 Prestress Moments in a Continuous Beam 1.168 Principle of Linear Transformation 1.170 Concordant Trajectory of a Beam 1.171 Design of Trajectory to Obtain Assigned Prestress Moments 1.171 Effect of Varying Eccentricity at End Support 1.172 Design of Trajectory for a Two-Span Continuous Beam 1.173 Reactions for a Continuous Beam 1.178 Steel Beam Encased in Concrete 1.178 Composite Steel-and-Concrete Beam 1.180 Design of a Concrete Joist in a Ribbed Floor 1.183 Design of a Stair Slab 1.184 Free Vibratory Motion of a Rigid Bent 1.185 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies. 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CIVIL ENGINEERING 1.4 SECTION ONE REFERENCES Brockenbrough—Structural Steel Designer’s Handbook, McGraw-Hill; Fleming—Construction Technology, Blackwell; ASCE—Minimum Design Loads for Building and Other Structures, American Society of Civil Engi-neers; Kalamkarov—Analysis, Design and Optimization of Composite Structures, Wiley; Bruneau—Ductile Design of Steel Structures, McGraw-Hill; AISC Committee—Manual of Steel Construction Load and Resistance Factor Design, American Institute of Steel Construction; Simon—Sound Control in Building, Blackwell; Wrobel—The Boundary Element Method, Wiley; Taranath—Steel, Concrete, and Composite Design of Tall Buildings, McGraw-Hill; Fryer—The Practice of Construction Management, Blackwell; Gurdal—Design and Optimization of Laminated Composite Materials, Wiley; Mays—Stormwater Collection Systems Design Hand-book, McGraw-Hill; Cain—Performance Measurements for Construction Profitability, Blackwell; Hosack— Land Development Calculations, McGraw-Hill; Kirkham—Whole Life-Cycle Costing, Blackwell; Peurifoy—Construction Planning, Equipment and Methods, McGraw-Hill; Hicks—Civil Engineering Formulas, McGraw-Hill; Mays—Urban Stormwater Management Tools, McGraw-Hill; Mehta—Guide to the Use of the Wind Loads of ASCE 7-02, ASCE; Kutz—Handbook of Transportation Engineering, McGraw-Hill; Prakash— Water Resources Engineering, ASCE; Mikhelson—Structural Engineering Formulas, McGraw-Hill; Najafi— Trenchless Technology, McGraw-Hill; Mays—Water Supply Systems Security, McGraw-Hill; Pansuhev—Insulating Concrete Forms Construction, McGraw-Hill; Chen—Bridge Engineering, McGraw-Hill; Karnovsky—Free Vibrations of Beams and Frames, McGraw-Hill; Karnovsky—Non-Classical Vibrations of Arches and Beams, McGraw-Hill; Loftin—Standard Handbook for Civil Engineers, McGraw-Hill; Newman— Metal Building Systems, McGraw-Hill; Girmscheid—Fundamentals of Tunnel Construction, Wiley; Darwin— Design of Concrete Structures, McGraw-Hill; Gohler—Incrementally Launched Bridges: Design and Construction, Wiley. PART 1 STRUCTURAL STEEL DESIGN Steel Beams and Plate Girders In the following calculation procedures, the design of steel members is executed in accordance with the Specification for the Design, Fabrication and Erection of Structural Steel for Buildings of the American Institute of Steel Construction. This specification is presented in the AISC Manual of Steel Construction. Most allowable stresses are functions of the yield-point stress, denoted as F in the Manual. The appendix of the Specification presents the allowable stresses associated with each grade of structural steel together with tables intended to expedite the design. The Commentary in the Specification explains the structural theory underlying the Specification. Unless otherwise noted, the structural members considered here are understood to be made of ASTM A36 steel, having a yield-point stress of 36,000 lb/in2 (248,220.0 kPa). The notational system used conforms with that given, and it is augmented to include the follow-ing: A = area of flange, in2 (cm2); A = area of web, in2 (cm2); b = width of flange, in (mm); d = depth of section, in (mm); d = depth of web, in (mm); t = thickness of flange, in (mm); t = thick-ness of web, in (mm); L¢ = unbraced length of compression flange, in (mm); f = yield-point stress, lb/in2 (kPa). Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. ... - tailieumienphi.vn
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