CIVIL ENGINEERING FORMULAS

Engineering Practice Chapter 1. Conversion Factors for Civil

Chapter 2. Beam Formulas

Continuous Beams /

Ultimate Strength of Continuous Beams /

Beams of Uniform Strength /

Safe Loads for Beams of Various Types /

Rolling and Moving Loads /

Curved Beams /

Elastic Lateral Buckling of Beams /

Combined Axial and Bending Loads /

Unsymmetrical Bending /

Eccentric Loading /

Vibration of Prismatic Beams / Natural Circular Frequencies and Natural Periods of

Torsion in Structural Members /

Strain Energy in Structural Members /

Fixed-End Moments in Beams /

Chapter 3. Column Formulas

General Considerations /

Short Columns /

Eccentric Loads on Columns /

Columns of Special Materials /

Column Base Plate Design /

Allowable-Stress Design Approach / American Institute of Steel Construction

Composite Columns /

Elastic Flexural Buckling of Columns /

Allowable Design Loads for Aluminum Columns /

Ultimate Strength Design Concrete Columns /

Design of Axially Loaded Steel Columns /

Chapter 4. Piles and Piling Formulas

Allowable Loads on Piles /

Laterally Loaded Vertical Piles /

Toe Capacity Load /

Groups of Piles /

Foundation-Stability Analysis /

Axial-Load Capacity of Single Piles /

Shaft Settlement /

Shaft Resistance in Cohesionless Soils /

Chapter 5. Concrete formulas

Reinforced Concrete /

Water/Cementitious Materials Ratio /

Job Mix Concrete Volume /

Modulus of Elasticity of Concrete /

Tensile Strength of Concrete /

Reinforcing Steel /

Continuous Beams and One-Way Slabs /

Columns, and Other Members / Design Methods for Beams,

Properties in the Hardened State /

Tension Development Lengths /

Compression Development Lengths /

Crack Control of Flexural Members /

Required Strength /

for Concrete Beams / Deflection Computations and Criteria

Tension Reinforcement Only / Ultimate-Strength Design of Rectangular Beams with

Tension Reinforcement Only / Working-Stress Design of Rectangular Beams with

Beams with Compression Bars / Ultimate-Strength Design of Rectangular

Beams with Compression Bars / Working-Stress Design of Rectangular

Ultimate-Strength Design of I- and T-beams /

Working-Stress Design of I- and T-beams /

Ultimate-Strength Design for Torsion /

Working-Stress Design for Torsion /

Flat-Slab Construction /

Flat-Plate Construction /

Shear in Slabs /

Column Moments /

Spirals /

Braced and Unbraced Frames /

Shear Walls /

Concrete Gravity Retaining Walls /

Cantilever Retaining Walls /

Wall Footings /

Chapter 6. Timber Engineering Formulas

Grading of Lumber /

Size of Lumber /

Bearing /

Beams /

Columns /

Combined Bending and Axial Load /

Compression at Angle to Grain /

Recommendations of the Forest Products Laboratory /

Compression on Oblique Plane /

Adjustment Factors for Design Values /

Fasteners for Wood /

Connections with Fasteners / Adjustment of Design Values for

Roof Slope to Prevent Ponding /

Bending and Axial Tension /

Bending and Axial Compression /

Solid Rectangular or Square Columns with Flat Ends /

Chapter 7. Surveying Formulas

Units of Measurement /

Theory of Errors /

Measurement of Distance with Tapes /

Vertical Control /

Stadia Surveying /

Photogrammetry /

Chapter 8. Soil and Earthwork Formulas

Physical Properties of Soils /

Index Parameters for Soils /

Relationship of Weights and Volumes in Soils /

Internal Friction and Cohesion /

Vertical Pressures in Soils /

Forces on Retaining Walls / Lateral Pressures in Soils,

Lateral Pressure of Cohesionless Soils /

Lateral Pressure of Cohesive Soils /

Water Pressure /

Lateral Pressure from Surcharge /

Stability of Slopes /

Bearing Capacity of Soils /

Settlement under Foundations /

Soil Compaction Tests /

Compaction Equipment /

Formulas for Earthmoving /

Scraper Production /

Vibration Control in Blasting /

Chapter 9. Building and Structures Formulas

for Shear in Buildings / Load-and-Resistance Factor Design

Allowable-Stress Design for Building Columns /

Load-and-Resistance Factor Design for Building Columns /

Allowable-Stress Design for Building Beams /

Load-and-Resistance Factor Design for Building Beams /

Allowable-Stress Design for Shear in Buildings /

Stresses in Thin Shells /

Bearing Plates /

Column Base Plates /

Bearing on Milled Surfaces /

Plate Girders in Buildings /

Load Distribution to Bents and Shear Walls /

Combined Axial Compression or Tension and Bending /

Webs under Concentrated Loads /

Design of Stiffeners under Loads /

Fasteners in Buildings /

Composite Construction /

for Building Construction / Number of Connectors Required

Ponding Considerations in Buildings /

Lightweight Steel Construction /

Choosing the Most Economic Structural Steel /

Steel Carbon Content and Weldability /

in Building Structures / Statically Indeterminate Forces and Moments

Roof Live Loads /

Chapter 10. Bridge and Suspension-Cable Formulas

Shear Strength Design for Bridges /

Allowable-Stress Design for Bridge Columns /

Load-and-Resistance Factor Design for Bridge Columns /

Additional Bridge Column Formulas /

Allowable-Stress Design for Bridge Beams /

Stiffeners on Bridge Girders /

Hybrid Bridge Girders /

Load-Factor Design for Bridge Beams /

Bearing on Milled Surfaces /

Bridge Fasteners /

Composite Construction in Highway Bridges /

Number of Connectors in Bridges /

Allowable-Stress Design for Shear in Bridges /

Elements for Highway Bridges / Maximum Width/Thickness Ratios for Compression

Suspension Cables /

General Relations for Suspension Cables /

Cable Systems /

Rainwater Accumulation and Drainage on Bridges /

Chapter 11. Highway and Road Formulas

Circular Curves /

Parabolic Curves /

Highway Curves and Driver Safety /

Highway Alignments /

Structural Numbers for Flexible Pavements /

Transition (Spiral) Curves /

Designing Highway Culverts /

Design Procedure / American Iron and Steel Institute (AISI)

Chapter 12. Hydraulics and Waterworks Formulas

Capillary Action /

Viscosity /

Pressure on Submerged Curved Surfaces /

Fundamentals of Fluid Flow /

Similitude for Physical Models /

Fluid Flow in Pipes /

Size Change / Pressure (Head) Changes Caused by Pipe

Flow through Orifices /

Fluid Jets /

Orifice Discharge into Diverging Conical Tubes /

Water Hammer /

to the Longitudinal Axis / Pipe Stresses Perpendicular

Temperature Expansion of Pipe /

Forces due to Pipe Bends /

Culverts /

Open-Channel Flow /

Manning’s Equation for Open Channels /

Hydraulic Jump /

Nonuniform Flow in Open Channels /

Weirs /

Flow over Weirs /

Prediction of Sediment-Delivery Rate /

Evaporation and Transpiration /

Hydraulic Structures / Method for Determining Runoff for Minor

Computing Rainfall Intensity /

Groundwater /

Water Flow for Fire Fighting /

Flow from Wells /

Economical Sizing of Distribution Piping /

Venturi Meter Flow Computation /

Hydroelectric Power Generation /

Pumps and Pumping Systems /

Hydraulic Turbines /

Dams /

Wastewater, and Environmental Protection Chapter 13. Stormwater, Sewage, Sanitary

Determining Storm Water Flow /

Flow Velocity in Straight Sewers /

Design of a Complete-Mix Activated Sludge Reactor /

Design of a Circular Settling Tank /

Sizing a Polymer Dilution/Feed System /

Design of a Solid-Bowl Centrifuge for Sludge Dewatering /

Design of a Trickling Filter Using the NRC Equations /

Design of a Rapid-Mix Basin and Flocculation Basin /

Design of an Aerobic Digester /

Design of a Plastic Media Trickling Filter /

Design of an Anaerobic Digestor /

Design of a Chlorination System for Wastewater Disinfection /

Sanitary Sewer System Design /

Design of an Aerated Grit Chamber /

Index

CIVIL ENGINEERING FORMULAS

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