## Handbook of Civil Engineering Calculations

### Part 1: Statics, Stress and Strain, and Flexural Analysis

#### PRINCIPLES OF STATICS; GEOMETRIC PROPERTIES OF AREAS 1.4

Graphical Analysis of a Force System 1.5
Analysis of Static Friction 1.6
Analysis of a Structural Frame 1.7
Graphical Analysis of a Plane Truss 1.8
Truss Analysis by the Method of Joints 1.10
Truss Analysis by the Method of Sections 1.12
Reactions of a Three-Hinged Arch 1.13
Length of Cable Carrying Known Loads 1.14
Parabolic Cable Tension and Length 1.16
Catenary Cable Sag and Distance between Supports 1.17
Stability of a Retaining Wall 1.17
Analysis of a Simple Space Truss 1.18
Analysis of a Compound Space Truss 1.20
Geometric Properties of an Area 1.23
Product of Inertia of an Area 1.25
Properties of an Area with Respect to Rotated Axes 1.25

#### ANALYSIS OF STRESS AND STRAIN 1.26

Stress Caused by an Axial Load 1.27
Deformation Caused by an Axial Load 1.27
Deformation of a Built-Up Member 1.27
Reactions at Elastic Supports 1.28
Analysis of Cable Supporting a Concentrated Load 1.29
Displacement of Truss Joint 1.30
Axial Stress Caused by Impact Load 1.31
Stresses on an Oblique Plane 1.32
Evaluation of Principal Stresses 1.33
Hoop Stress in Thin-Walled Cylinder under Pressure 1.34
Stresses in Prestressed Cylinder 1.34
Hoop Stress in Thick-Walled Cylinder 1.35
Thermal Stress Resulting from Heating a Member 1.36
Thermal Effects in Composite Member Having Elements in Parallel 1.37
Thermal Effects in Composite Member Having Elements in Series 1.38
Shrink-Fit Stress and Radial Pressure 1.38
Torsion of a Cylindrical Shaft 1.39
Analysis of a Compound Shaft 1.39

#### STRESSES IN FLEXURAL MEMBERS 1.40

Shear and Bending Moment in a Beam 1.41
Beam Bending Stresses 1.42
Analysis of a Beam on Movable Supports 1.43
Flexural Capacity of a Compound Beam 1.44
Analysis of a Composite Beam 1.45
Beam Shear Flow and Shearing Stress 1.47
Locating the Shear Center of a Section 1.48
Bending of a Circular Flat Plate 1.49
Bending of a Rectangular Flat Plate 1.50
Combined Bending and Axial Load Analysis 1.50
Flexural Stress in a Curved Member 1.52
Soil Pressure under Dam 1.52
Load Distribution in Pile Group 1.53

#### DEFLECTION OF BEAMS 1.54

Double-Integration Method of Determining Beam Deflection 1.54
Moment-Area Method of Determining Beam Deflection 1.55
Conjugate-Beam Method of Determining Beam Deflection 1.56
Unit-Load Method of Computing Beam Deflection 1.57
Deflection of a Cantilever Frame 1.58

#### STATICALLY INDETERMINATE STRUCTURES 1.60

Shear and Bending Moment of a Beam on a Yielding Support 1.60
Maximum Bending Stress in Beams Jointly Supporting a Load 1.61
Theorem of Three Moments 1.62
Theorem of Three Moments: Beam with Overhang and Fixed End 1.63
Bending-Moment Determination by Moment Distribution 1.64
Analysis of a Statically Indeterminate Truss 1.66

#### MOVING LOADS AND INFLUENCE LINES 1.68

Analysis of Beam Carrying Moving Concentrated Loads 1.68
Influence Line for Shear in a Bridge Truss 1.69
Force in Truss Diagonal Caused by a Moving Uniform Load 1.71
Force in Truss Diagonal Caused by Moving Concentrated Loads 1.71
Influence Line for Bending Moment in Bridge Truss 1.73
Force in Truss Chord Caused by Moving Concentrated Loads 1.74
Influence Line for Bending Moment in Three-Hinged Arch 1.75
Deflection of a Beam under Moving Loads 1.77

#### RIVETED AND WELDED CONNECTIONS 1.77

Capacity of a Rivet 1.78
Investigation of a Lap Splice 1.79
Design of a Butt Splice 1.80
Design of a Pipe Joint 1.81
Moment on Riveted Connection 1.82
Eccentric Load on Riveted Connection 1.83
Design of a Welded Lap Joint 1.85
Eccentric Load on a Welded Connection 1.86

### Part 2: Structural Steel Design

#### STRUCTURAL STEEL BEAMS AND PLATE GIRDERS 1.87

Most Economic Section for a Beam with a Continuous Lateral Support  1.87
Most Economic Section for a Beam with Intermittent Lateral Support  1.88
Design of a Beam with Reduced Allowable Stress 1.89
Design of a Cover-Plated Beam 1.91
Design of a Continuous Beam 1.94
Shearing Stress in a Beam—Exact Method 1.95
Shearing Stress in a Beam—Approximate Method 1.96
Moment Capacity of a Welded Plate Girder 1.96
Analysis of a Riveted Plate Girder 1.97
Design of a Welded Plate Girder 1.98

#### STEEL COLUMNS AND TENSION MEMBERS 1.102

Capacity of a Built-Up Column 1.103
Capacity of a Double-Angle Star Strut 1.104
Section Selection for a Column with Two Effective Lengths 1.105
Stress in Column with Partial Restraint against Rotation 1.106
Lacing of Built-Up Column 1.107
Selection of a Column with a Load at an Intermediate Level 1.108
Design of an Axial Member for Fatigue 1.109
Investigation of a Beam Column 1.110
Application of Beam-Column Factors 1.110
Net Section of a Tension Member 1.111
Design of a Double-Angle Tension Member 1.112

#### PLASTIC DESIGN OF STEEL STRUCTURES 1.113

Allowable Load on Bar Supported by Rods 1.114
Determination of Section Shape Factors 1.115
Determination of Ultimate Load by the Static Method 1.116
Determining the Ultimate Load by the Mechanism Method 1.118
Analysis of a Fixed-End Beam under Concentrated Load 1.119
Analysis of a Two-Span Beam with Concentrated Loads 1.120
Selection of Sizes for a Continuous Beam 1.121
Mechanism-Method Analysis of a Rectangular Portal Frame 1.123
Analysis of a Rectangular Portal Frame by the Static Method 1.126
Theorem of Composite Mechanisms 1.126
Analysis of an Unsymmetric Rectangular Portal Frame 1.127
Analysis of Gable Frame by Static Method 1.129
Theorem of Virtual Displacements 1.131
Gable-Frame Analysis by Using the Mechanism Method 1.132
Reduction in Plastic-Moment Capacity Caused by Axial Force 1.133

#### LOAD AND RESISTANCE FACTOR METHOD 1.135

Determining If a Given Beam Is Compact or Non-Compact 1.137
Determining Column Axial Shortening with a Specified Load 1.138
Determining the Compressive Strength of a Welded Section 1.139
Determining Beam Flexural Design Strength for Minor- and
Major-Axis Bending 1.140
Designing Web Stiffeners for Welded Beams 1.141
Determining the Design Moment and Shear Strength of a Built-Up
Wide-Flanged Welded Beam Section 1.143
Finding the Lightest Section to Support a Specified Load 1.147
Combined Flexure and Compression in Beam-Columns in a Braced Frame 1.149
Selection of a Concrete-Filled Steel Column 1.155
Determining Design Compressive Strength of Composite Columns 1.158
Analyzing a Concrete Slab for Composite Action 1.160
Determining the Design Shear Strength of a Beam Web 1.162
Determining a Bearing Plate for a Beam and Its End Reaction 1.163
Determining Beam Length to Eliminate Bearing Plate 1.165

### Part 3: Hangers and Connections, Wind-Stress Analysis

Design of an Eyebar 1.166
Analysis of a Steel Hanger 1.167
Analysis of a Gusset Plate 1.168
Design of a Semirigid Connection 1.170
Riveted Moment Connection 1.171
Design of a Welded Flexible Beam Connection 1.174
Design of a Welded Seated Beam Connection 1.175
Design of a Welded Moment Connection 1.177
Rectangular Knee of Rigid Bent 1.178
Curved Knee of Rigid Bent 1.179
Base Plate for Steel Column Carrying Axial Load 1.180
Base for Steel Column with End Moment 1.181
Grillage Support for Column 1.182
Wind-Stress Analysis by Portal Method 1.185
Wind-Stress Analysis by Cantilever Method 1.187
Wind-Stress Analysis by Slope-Deflection Method 1.190
Wind Drift of a Building 1.192
Reduction in Wind Drift by Using Diagonal Bracing 1.194
Light-Gage Steel Beam with Unstiffened Flange 1.195
Light-Gage Steel Beam with Stiffened Compression Flange 1.196

## Note:

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