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Statics

Beam Formulas

Simply Supported Beam - With UDL

Simple Beam - Uniformly Increasing Load to One End

Simple Beam - Uniformly Increasing Load to Centre

Simple Beam - UDL at Any Point

Simple Beam - UDL at One End

Simple Beam - UDL at Each End

Simple Beam - Point Load at Centre

Simple Beam - Point Load at Any Point

Simple Beam - Two Point Loads Equally Spaced

Simple Beam - Two Equal Point Loads Unequally Spaced

Simple Beam - Two Unequal Point Loads Unequally Spaced

Simple Beam - Uniformly Distributed Load and Variable End Moments

Simple Beam - Central Point Load and Variable End Moments

Fixed End Beam - UDL

Fixed End Beam - Central Point Load

Fixed End Beam - Point Load at Any Point

Fixed Both Ends Beam - UDL

Fixed Both Ends Beam - Point Load at Centre

Fixed Both Ends Beam - Point Load at Any Point

Cantilever Beam - UIL

Cantilever Beam - Uniformly Distributed Load

Cantilever Beam - UDL with Vertical Deflection but no Rotation

Cantilever Beam - Point Load at Any Point

Cantilever Beam - Point Load at Free End

Cantilever Beam - Point Load Free to Deflect Vertically with No Rotation

Overhanging Beam - UDL

Overhanging Beam - UDL on Overhang

Overhanging Beam - Point Load on Beam End

Overhanging Beam - UDL Over Supported Span

Overhanging Beam - Point Load Between Supports at Any Point

Overhanging Beam - Overhang Both Supports with a UDL

Continuous Beam - Two Span with One Span UDL

Continuous Beam - Two Span with Central Point Load Over One Span

Continuous Beam - Two Span with Point Load Over One Span at Any Point

Continuous Beams – Two Equal Spans with UDL

Continuous Beam – Two Equal Spans with Central Point Loads

Continuous Beam - Two Unequal Span With UDL

Continuous Beam - Two Unequal Spans with Point Loads Central to Each Span

Continuous Beam - Three Span with Two Span UDL

Continuous Beam - Three Span with End Span UDLs

Continuous Beam - Three Span with UDL

Continuous Beam - Four Span with One Span Unloaded

Continuous Beam - Four Span with Two Spans Unloaded

Continuous Beam - Four Span with UDL

Arch Formulas

Three Hinge Arch - Any Shape - UDL

Three Hinge Arch - Any Shape - Half UDL

Three Hinge Arch - Any Shape - Side UDL

Three Hinge Arch - Any Shape - PL at Any Point

Three Hinge Arch - Any Shape - UIL Away from Centre

Three Hinge Arch - Any Shape - Half UIL

Three Hinge Arch - Any Shape - Side UIL

Three Hinge Arch - Any Shape - Central BMs

Two Hinge Arch - Parabolic - UDL

Two Hinge Arch - Parabolic - Half UDL

Two Hinge Arch - Parabolic - Side UDL

Two Hinge Arch - Parabolic - PL at Any Point

Two Hinge Arch - Parabolic - Half UIL

Two Hinge Arch - Parabolic - Side UIL

Two Hinge Arch - Parabolic - Support Moved

Fixed Arch - Parabolic - UDL

Fixed Arch - Parabolic - Half UDL

Fixed Arch - Parabolic - Side UDL

Fixed Arch - Parabolic - PL at Any Point

Fixed Arch - Parabolic - Central PL

Fixed Arch - Parabolic - UIL

Fixed Arch - Parabolic - Support Moved

Two Hinge Tied Arch - Parabolic - UDL

Two Hinge Tied Arch - Parabolic - Half UDL

Two Hinge Tied Arch - Parabolic - Side UDL

Two Hinge Tied Arch - Parabolic - PL at Any Point

Two Hinge Tied Arch - Parabolic - Side UIL

Two Hinge Tied Arch - Parabolic - Half UIL

Frame Formulas

Three Member Frame (Pin / Roller) - Central Point Load

Three Member Frame (Pin / Roller) - Side Top Point Load

Three Member Frame (Pin / Roller) - Side Bottom Point Load

Three Member Frame (Pin / Roller) - Side Top Bending Moment

Three Member Frame (Pin / Roller) - Central Bending Moment

Three Member Frame (Pin / Roller) - Top UDL

Three Member Frame (Pin / Roller) - Side UDL

Three Member Frame (Pin / Roller) - Outward Side UDL

Three Member Frame (Pin / Pin) - Top Point Load

Three Member Frame (Pin / Pin) - Top Horizontal Point Load

Three Member Frame (Pin / Pin) - Side Point Load

Three Member Frame (Pin / Pin) - Top UDL

Three Member Frame (Pin / Pin) - Side Point Load

Three Member Frame (Fixed / Fixed) - Central Point Load

Three Member Frame (Fixed / Fixed) - Top UDL

Three Member Frame (Fixed / Fixed) - Side UDL

Three Member Frame (Fixed / Free) - Free End Horizontal Point Load

Three Member Frame (Fixed / Free) - Free End Vertical Point Load

Three Member Frame (Fixed / Free) - Side Top Point Load

Three Member Frame (Fixed / Free) - Free End Bending Moment

Three Member Frame (Fixed / Free) - Top UDL

Two Member Frame (Pin / Pin) - Top Point Load

Two Member Frame (Pin / Pin) - Top UDL

Two Member Frame (Fixed / Fixed) - Top Point Load

Two Member Frame (Fixed / Fixed) - Top UDL

Two Member Frame (Fixed / Pin) - Top Point Load

Two Member Frame (Fixed / Pin) - Side Point Load

Two Member Frame (Fixed / Pin) - Top UDL

Two Member Frame (Fixed / Pin) - Side UDL

Two Member Frame (Fixed / Free) - Free End Vertical Point Load

Two Member Frame (Fixed / Free) - Free End Horizontal Point Load

Two Member Frame (Fixed / Free) - Free End Bending Moment

Two Member Frame (Fixed / Free) - Top UDL

Plate Formulas

Simply Supported on all Edges - With UDL

Simply Supported On Three Edges, One Fixed With UDL

Simply Supported On Three Edges, One Fixed With UDL

Simply Supported On Two Edges, Two Fixed With UDL

Simply Supported On Two Edges, Two Fixed With UDL

Simply Supported On Two Edges, Fixed On Two With Uniform Load

Simply Supported On One Edge, Three Fixed With UDL

Simply Supported On One Edge, Three Fixed With UDL

Free On One Edge, Three Fixed With UDL

Free On One Edge, Three Fixed With UDL

Fixed On All Edges With UDL

Supported On All Corners With UDL

Simply Supported On One Edge Two Columns With UDL

Simply Supported On Two Edges, One Column With UDL

Simply Supported On One Edge, Three Fixed With VDL

Simply Supported On One Edge, Three Fixed With VDL

Free On One Edge, Three Fixed With VDL

Free On One Edge, Three Fixed With VDL

Free On One Edge, Three Fixed With UDL

Free On One Edge, Three Fixed With UDL

Fixed On All Edges With VDL

Fixed On All Edges With VDL

Simply Supported On All Edges With Central Point Load

Fixed On All Edges With Central Point Load

Stress and Strain

Tension and Compression

Tension Forces

Compression Forces

Composite Section

Thermal Expansion

Linear Expansion

Area Expansion

Volumetric Expansion

Restrained Expansion

Pressure Vessels

Pressure Vessel - Hoop Stress

Pressure Vessel - Longitudinal Stress

Pressure Vessel - Longitudinal Stress

Pressure Vessel - Radial Stress

Composite Pressure Vessel - Radial Displacement

Pressure Vessel - Radial Displacement

Spherical Pressure Vessel - Radial Displacement

Torsion

Circular Section - Torsional Loading

Restrained Circular Section - Torsional Loading

Varying Circular Section - Torsional Loading

Two Section Circular Section - Torsional Loading

Restrained Two Section Circular Section - Torsional Loading

Composite Circular Section - Torsional Loading

Rectangular Section - Torsional Loading

Shear Centres

Shear Centre - Channel Section

Shear Centre - Mono-Symmetric Section

Shear Centre - Unequal I-Section

Shear Centre - Semi-Circular Section

Shear Centre - Sector Section

Longitudinal Shear Stress - Rectangular Section

Weld Groups

Single Weld

Two C-Sections

Two U- Sections

Unequal C-Section

Lipped C-Section

Parallel

Rectangular

Circular

Three Sided

Angle Weld

Tee Section

Partial I-Beam

Rectangular Basic

Full I-Beam

Welded Connections

Tee Plates - Full Fillet Axial Load

Tee Plates - Full Fillet Moment

Tee Plates - Full Fillet Perpendicular

Tee Plates - Partial Fillet Axial Load

Tee Plates - Partial Fillet Moment

Tee Plates - Partial Fillet Perpendicular

Tee Plates - 2 Partial Fillet Axial

Tee Plates - 2 Partial Fillet Bending

Tee Plates - 2 Partial Fillet Perpendicular

Flat Plates - Full Butt Axial Load

Flat Plates - Partial Butt Axial Load

Flat Plates - Full Butt Moment

Flat Plates - Partial Butt Moment

Flat Plates - Angled Butt Weld

Flat Plates - Full Butt Bending

Flat Plates - Full Butt Torsion

Flat Plates - Full Putt Moment

Lapped Plates - 2 Full Fillet 3 Plate

Lapped Plates - 2 Full Fillet 2 Plate

Lapped Plates - 3 Full Fillet 2 Plate

Lapped Plates - 2 Partial Fillet 2 Plate

Lapped Plates - 2 Partial fillet small plate

Lapped Plates - 2 Separate Fillet 2 Plate

Lapped Plates - 4 Fillet 3 Plate

Lapped Plates - Plate on Plate Axial Load

Plug & Slot - Straight Plug Welds

Plug & Slot - Bevelled Plug Welds

Plug & Slot - Straight Slot Weld

Plug & Slot - Bevelled Slot Weld

Bar to Plate - Bending Moment

Bar to Plate - Side Fillet Bending

Bar to Plate - Side Fillet Point Load

Bar to Plate - Side Penetration Bending

Bar to Plate - Side Penetration Point

Bar to Plate - Side Penetration Torsion

Beam to Plate - Bending Moment

Beam to Plate - Point Load

Beam to Plate - Torsional Load

Rod to Plate - Torsional Load

Rod to Plate - Bending Moment

Pipe / Tube - Butt Weld Axial

Pipe / Tube - Butt Weld Torsional

Pipe / Tube - Butt Weld Shear

Pipe / Tube - Butt Weld Bending

Angle to Plate - Angle to Plate

Hand Calculation Examples

Hand Calc Example - No Margins

Hand Calc Example - Left Margin Only

Hand Calc Example - Both Margins (Left and Right)

Blank Calc Sheet - No Margins

Blank Calc Sheet - Left Margin Only

Blank Calc Sheet - Both Margins (Left and Right)

Unit Conversion

Angles

Area

Energy

Force

Length

Numbers

Power

Pressure

Temperature

Time

Velocity

Volume

Dry Volume

Weight

Acceleration

Angular Acceleration

Density

Moment of Force

Moment of Inertia

Specific Volume

Angular Velocity

Mass Fuel Efficiency

Volume Fuel Efficiency

Heat Density

Heat Flux Density

Heat Transfer Coefficient

Specific Heat Capacity

Temperature Interval

Thermal Conductivity

Thermal Expansion

Thermal Resistance

Molar Concentration

Solution Concentration

Flow

Mass Flow

Molar Flow

Mass Flux Density

Permeability

Surface Tension

Dynamic Viscosity

Kinematic Viscosity

Charge

Current

Electric Conductance

Electric Conductivity

Electric Field Strength

Electric Potential

Electric Resistance

Electrostatic Capacitance

Inductance

Linear Charge Density

Linear Current Density

Surface Charge Density

Surface Current Density

Volume Charge Density

Frequency Wavelength

Illumination

Luminance

Luminous Intensity

Magnetic Field Strength

Magnetic Flux

Magnetic Flux Density

Magneto motive Force

Radiation

Radiation Absorbed

Radiation Activity

Radiation Exposure

Data Storage

Data Transfer

Digital Image Resolution

Fuel Consumption

Prefixes

Sound

Typography

Lumber Volume

Geometric Properties

Square

Square Diamond

Rectangle

Rotated Rectangle

Hollow Rectangle

Thin Walled Rectangle

Isosceles Trapezoid

General Trapezoid

Triangle

Circle

Thin Walled Circle

Hollow Circle

Half Circle

Circle Quarter

Circle Sector

Circle Segment

Hexagon

Octagon

Polygon

Oval

Hollow Oval

Elliptical

Elliptical Quadrant

Parabolic Area

Parabolic Area Half

Square I-Beam

Tapered I-Beam

Unequal I-Beam

Square Channel

Tapered Channel

Square Tee Beam

Tapered Tee Beam

Square Angle

Rectangular Angle

Zed Beam

Cross

Soil and Foundations

Soil Stress Distribution

Boussinesq's Point Load Formula - Central to Point of Interest

Boussinesq's Point Load Formula - Offset to Point of Interest

Boussinesq's Multiple Point Loads Formula - Offset to Point of Interest

Line Load - Offset From Point of Interest

Strip Foundation with UDL - Offset from Point of Interest

Strip Foundation with UDL - Edge In Line with Point of Interest

Strip Foundation with UDL - Above Point of Interest

Strip Foundation with UDL - Above and Central to Point of Interest

Strip Foundation with UIL - Offset from Point of Interest

Strip Foundation with UIL - Edge In Line with Point of Interest

Strip Foundation with UIL - Above and Central to Point of Interest

Strip Foundation with UIL - Start Edge In Line with Point of Interest

Embankment - Above Point of Interest

Loaded Circular Area - Central to Point of Interest

Uniformly Loaded Circular Area - Offset from Centre

Loaded Rectangular Area - Point of Interest Below Corner

Stress Below a Foundation - Approximate Method

Newmart Chart Method - Foundation of any shape

Point Load - Westergaard's Layered Soil

Loaded Circular Area - Westergaard's Layered Soil

Loaded Rectangular Area - Westergaard's Layered Soil

Rotation of a Rigid Rectangular Footing - Infinite Soil Layer

Rotation of a Rigid Circular Footing - Infinite Soil Layer

Rotation of a Rigid Circular Footing - Infinite Soil Layer

Shallow Foundations

Terzaghi's Bearing Capacity - Strip Foundation

Terzaghi's Bearing Capacity - Square Foundation

Terzaghi's Bearing Capacity - Circular Foundation

The General Bearing Capacity Equation - Rectangular Foundations

Modification for a Water Table

Meyerhoff's Foundations on Top of a Slope (Continuous Foundation)

Meyerhoff's Foundations on a Slope (Continuous Foundation)

Meyerhoff and Hanna - Bearing Capacity of Layered Soils

Meyerhoff - Effective Area Method (one-way eccentricity)

Highter and Anders - Effective Area Method (two-way eccentricity)

Highter and Anders - Effective Area Method (5 Cases)

Soil Properties

Soil Phase Relationships

Soil Densities

Elastic Modulus

Poisson's Ratio

Angle of Repose

Porosity Values

Hydraulic Conductivity

Non-Cohesive Properties

Cohesive Properties

Rock Properties

Soil Textures

Material Properties

Melting and Annealing Temperatures

Metal and Alloy Densities

Ultimate and Yield Strengths

Elastic and Shear Modulus

Thermal Expansion and Poisson's Ratio

Conductivity and Resistivity

Corrosive Potential

Concrete Strength and Application

Concrete Mix Ratios

Workability and Concrete Slump

Concrete - Recommended Finishes

Friction Coefficients - Construction Materials

Friction Coefficients - Slab on Grade

Timber Properties

Construction Material Weights

Design Tables

Metric Equivalents of Fractions

Concrete Reinforcement

Bolt Design

Bolt Grades

Mechanical Properties

Minimum Tensile Stress

Minimmum Tensile Load

Minimum Proof Load

Minimum Proof Stress

Bolt Capacities

Plate Tear-out

Mathematics First Aid

Laws of indices

Laws of Logarithms

Equations with Brackets

Trigonometry

Hyperbolic Functions

List of Derivatives

Differentiation Rules

List of Integrals

Integration Rules

National Standards Organisations

AutoCAD

Structural Sections

Parallel Flange Channel (PFC) Blocks

Unequal Angle (UA) Blocks

Equal Angle (EA) Blocks

Universal Beam (UB) Blocks

Universal Column (UC) Blocks

Universal Piles (UP) Blocks

Welded Beam (WB) Blocks

Welded Channel (WC) Blocks

Metric Bolts

Handy Calculators

Handy Math Calculators

Linear Interpolation

Bilinear Interpolation

Possible Combinations

Possible Permutations

Money Calculators

Monthly Loan Payments

Compound Interest

Compound Interest with Monthly Contributions

Monthly Lease Payments

StructX Articles

Project Management - Defining the Scope

The 7 Steps to Problem Solving

Problem Solving - Problems Defined

Glossary of Terms - Engineering Frame Theory Explained

Glossary of Terms - Engineering Arch Theory Explained

Glossary of Terms - Engineering Beam Theory Explained

Glossary of Terms - Second Moment of Area Explained

Engineering Jokes

Only an Engineer will Laugh

Aimed at Engineers

Amongst Close Friends

About StructX

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