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Bearing capacity
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Weight to Volume relationships in soils
Soil Sample
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Mohr's Circle for 2D Stresses
2D Mohr's
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3D Mohr's Circle
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Wood - Densities of Various Species and Mass Calculator
Wood - Densities of Various Species
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Determine the Length Of a Side
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Heron's Formula Calculator
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Calculate Arc Length and Sector Area
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Circle Dimension Calculator
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Cube Surface Area & Volume Calculator
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Dodecahedron: Surface Area & Volume
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Volume & Surface Area of Cylinder Calculator
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Calculate Sphere Surface Area And Volume
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Tangential Angle Method for setting out circular curves
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Relativity and Quantum Mechanics
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Energy Mass Equivalency
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Moment of Inertia Calculator: Angle Section
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Moment of Inertia Calculator: Channel Section
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Moment of Inertia Calculator: Triangular Section
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Moment of Inertia Calculator: Trapezoidal Area Section
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Hooke's Law
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Radius of Gyration in Structural Engineering
aisc-shapes-database-v160-all_sects
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Elastic Section Modulus Calculator
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Mass Moment of Inertia
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Solid Cylinder - Central Axis
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Solid Cylinder - Diameter
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Regular Tetrahedron
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Right Solid Circular Cone
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Triangle Shaft Maximum Allowable Torsion
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Shear Modulus Calculator
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Relationship between Young's modulus, bulk modulus and Poisson’s ratio
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Steel Wire Tension Calculator
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Poisson's Ratio
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Wood Density Calculator
wood information
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wood moisture calc
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wood information
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wood information
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Dynamics
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Potential Energy Calculator
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Freefall Height Calculator
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Freefall Velocity Calculator
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Acceleration vs. Velocity equations
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Rotational Kinetic Energy Calculator
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Work Calculator
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Impulse and Momentum Calculator
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Force Due To Acceleration
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Kinetic Energy Calculator
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Pendulum Calculator
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Simple Harmonic Motion Calculator
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Frequency of a Simple Harmonic Motion Calculator
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Time Period of a Simple Harmonic Motion Calculator
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Damped Harmonic Motion Energy Loss Calculator
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Centripetal Force Calculator
Centripetal Force-Acceleration Calculator
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Velocity of a Simple Harmonic Motion Calculator
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Longitudinal Vibration of Rods Calculator
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Dunkerley’s Method for Beam Vibration Calculator
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Acceleration of a Simple Harmonic Motion Calculator (related to the displacement)
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Angular Acceleration Calculator
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Acceleration of a Simple Harmonic Motion Calculator
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Average Angular Acceleration Calculator
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Total Harmonic Distortion (THD) Calculator
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Displacement of Harmonic Motion Calculator
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Astrophysics
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Orbital Mechanics Calculator
Orbital Mechanics
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Kepler's First Law Calculator
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Kepler's Third Law Calculator
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Y-coordinate of Keplerian Orbit
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Gravitational Force Calculator
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Acoustics and Optics
Thermodynamics and Fluid Dynamics
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Specific Heats of Solids and Heat Transfer Calculator
Solids - Specific Heats
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Pressure Calculator
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Bernoulli Calculator
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Bernoulli Equation Calculator: Volume Flow Rate
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Bernoulli Mass Flow Rate Calculator
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Hot Air Balloons - Calculating Lifting Force
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Froude Number Calculator: Open Channel Flow
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Air Density and Specific Weight Calculator
Density and Specific Weight
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Total and Partial Pressure Calculator
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Magnetic Prandtl Number Calculator
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Reynolds Number Calculator
Code source (3)
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Code source (1)
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Magnetic Reynolds Number Calculator for eddy current braking
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Magnetic Reynolds Number Calculator
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Knudsen Number Calculator
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Reynolds Number Calculator (for motion of a viscous fluid)
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Péclet Number Calculator
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Péclet number (for heat transfer using Reynolds number)
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Péclet number (for mass transfer using Reynolds number)
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Richardson Number Calculator
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Bejan Number Calculator
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Drag Force and Drag Coefficient Calculator
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Density, Specific Weight and Specific Gravity Calculator
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Mach Wave Angle Calculator
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Electrical Engineering
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Ohm's Law To Calculate Voltage In a Circuit
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AC Current Calculator (3Ph, 1Ph)
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Arc Flash Calculator
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MAXIMUM DEMAND CALC - AS3000
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Energy Optimisation Calculator
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Construction Calculations
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Truck Bed Volume and Weight Calculator
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Calculate Cement, Sand & Aggregate Quantity in Concrete
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Water Tank Capacity Calculator
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Rebar Weight Calculator
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Civil Engineering
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Bushfire Attack Level Calculator to AS 3959-2018
Bushfire Attack Level Calculator to AS 3959-2018
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Road Base Calculator
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Structural Engineering
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Beam Analysis Calculators
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Single-Span Beam Analysis
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Multi-Span Beam Analysis Tool
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Column Buckling Calculator
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AS/NZ
Timber Joints to AS1720.1
Timber Screwed Joint Designer to AS 1720.1
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Concrete Beam Designer to AS3600
CT - RC Beam Design to AS3600
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Bolt Group Calculator to AS 4100
Bolt Group - AS4100 - Fixed
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Fillet Weld Group Calculator to AS4100
Weld Group - AS4100 (Example)
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Steel Beam and Column Designer to AS4100
CT - Standard Steel Section Capacity
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Timber Beam Calculator to AS1720.1
CT - Timber Member Design to AS17201
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CT - Timber Column Design to AS17201
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Concrete Footing Design to AS3600-2018
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Concrete Column Designer to AS3600
CT - RC Column Design to AS3600
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Neutral Axis Calculator: RC Section to AS3600
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Reinforcement Development Length Calculator to AS3600
Concrete Punching Shear Calculator to AS3600
231204-AS3600-slab_punching_shear
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Truss Analysis and Design
2D truss input
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Timber Strut Designer to AS1720.1
CT - Timber Column Design to AS17201
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Concrete Wall to AS3600
Concrete Slabs to AS3600
Concrete Two-way Slab Calculator to AS3600
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Design Guide: Concrete Slabs to AS3600
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Concrete One-way Slab Calculator to AS3600
Steel Web Plate Connection to AS4100
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Steel Flexible End Plate Connection to AS4100
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Europe
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Seismic Spectrum Calculator to EC8
Eurocode_8
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Steel Section Designer to EC3
Eurocode_Section_Analysis_SingleForces_00
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Timber Beam Calculator to EC5
Design+Template+-+Timber+-+Rafters+and+joists+A1
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Elastic Critical Moment Calculator for Lateral Torsional Buckling to EC3
Eurocode_Section_Analysis_Combined_00
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Steel Base Plate Designer to EC3
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Concrete One-Way Slab Designer to EC2
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Concrete Corbel Designer to EC2
Design of Corbel based on Eurocode_etc_rev1
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US
Steel Beam and Column Designer to AISC 360
CT - Steel Beam and Column Design to AISC
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Wind Loading Calculator to ASCE 7-10
Wind Load (Low-Rise)
ASCE710W_v2_4
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Wind Load (Open Building)
ASCE710W_v2_4
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Wind Load (Roof Components & Cladding)
ASCE710W_v2_4
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Wind Load (Wall Components & Cladding)
ASCE710W_v2_4
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Wind Load (Any Height)
ASCE710W_v2_4
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ASCE710W_v2_4
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Steel Baseplate Designer to AISC 360
baseplate
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Concrete Slab-on-grade Calculator to ACI 360R-10
CONCRETE SLAB ON GRADE - CT
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Concrete Rectangular Beam Calculator to ACI 318-19 (IMP)
RC Rectangular Beams
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Concrete Rectangular Spread Footing Designer to ACI
Purlin and Girts Size Calculator to AISI
Concrete One-way Slab Designer to ACI318
CT - RC Slab Design to ACI318
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Concrete Column P-M Diagram Calculator to ACI
CLT Properties Calculator to ANSI/APA PRG 320
CLT Properties Data
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Design Response Spectrum to ASCE 7
Composite Slab to ACI 318
Composite Beam to AISC 360
Concrete Shear Wall to ACI 318
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Beam Analysis using Anastruct
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Concrete Column P-M Diagram Calculator
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Beam Analysis using Macaulay's Theorem
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Beam Analysis Calculator for simply supported beam with point moment
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Beam Analysis Calculator for simply supported beam with trapezoidal load
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Beam Analysis Calculator for simply supported beam with triangular load
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Beam Analysis Calculator for cantilever beam with triangular load
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Beam Analysis Calculator for cantilever beam with point load
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Beam Analysis Calculator for simply supported beam with UDL
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Beam Analysis Calculator for cantilever beam with UDL
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Beam Analysis Calculator for cantilever beam with trapezoidal load
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Beam Analysis Calculator for beam with multiple loads
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Beam Analysis Calculator for simply supported beam with point load
Code source (1)
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2D Truss Analysis using OpenSeesPy
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Sample Project
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Beam Analysis Calculator - Beam VC
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Concrete Column Designer to AS3600
CT - RC Column Design to AS3600
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Concrete Beam Designer to AS3600 - Beam VC
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Concrete Rectangular Footing Designer to AS3600
Concrete Footing Design to AS3600-2018
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Mechanical Engineering
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Air Duct Velocity Calculator
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Buoyancy Force Calculator
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Heat Transfer Calculator
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Static Pressure Calculator
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Dynamic Pressure Calculator
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Room Ventilation Calculator: Area Method
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Mach Number Calculator
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Volumetric Efficiency Calculator
Volumetric Efficiency of an ICE
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Duct Pressure Drop Calculator
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Room ventilation calculator: Occupancy Method
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Log Mean Temperature Difference in Counter Flow Heat Exchangers
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Engineering Calculation Template – Detailed Guide
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No more engineers? Understanding Australia’s engineering skills shortage
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Quality control in engineering calculations using Units
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Engineering Design Guide Articles
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Design Guide: Trusses
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Common Truss Types
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Truss Analysis
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Steps for Designing Truss Members to Australian Standards
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Design Guide: Shear Wall to Australian Standards
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Design Guide: Shear Wall to ACI Standards
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Design Guide: Pad Footings
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Design Guide: Purlins and Girts for Structural Support in Buildings
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Design Guide: Structural Load Calculations
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Design Guide: RC Staircase
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Design Guide: Limit State Design of steel members to AS4100
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Design Guide: Steel Bracing Systems
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Steps for Designing Steel Bracing - General Guide
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Steel Bracing Design For Limit State
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Steps for Designing Steel Bracing to Australian Standards
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Design Guide: Concrete Footing to AS3600
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Design Guide: Timber Members
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Steel Design Rules of Thumb for Structural Engineers
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Cement 101: What you need to know about this major construction material and it’s alternatives
New Microsoft Excel Worksheet
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High strength structural steel and Its Properties
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Essential Knowledge for Structural Engineers: Skills and Expertise
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Australia's Top Stadiums: Engineer's Perspective
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OpenSeesPy vs ETABS: 2D Frame Modal Analysis Comparison
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Get started with OpenSees on CalcTree
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Sustainable Materials in Civil Engineering
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Hempcrete: Building Smart, Green, and for the Future
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Sustainability and mass timber construction: top of mind and leading edge
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Top 5 Innovative & Sustainable Materials that should be mainstream in the construction industry
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Low Heat Cement 101 And Its Alternatives
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Embodied Carbon
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Physics
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Thermodynamics
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Intro to Thermodynamics
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Brayton Cycles
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Power Cycles: The Carnot and Otto Cycle
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Heat Engine
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Heat Engine Calculator
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Refrigerator
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Refrigerator Calculator
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Heat Pumps
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Heat Pump Calculator
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Types of Pulleys & Calculators
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Logic Gates explained with calculators
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Matrix Algebra and its applications in Engineering and Physics
Matrix Algebra Operations
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Fundamentals
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Beam Analysis and Design Fundamentals
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Fundamentals: Newton’s 3 Laws of Motion
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Fundamentals: Second Moment of Inertia
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Energy–momentum relation
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Energy–momentum Relation Calculator
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Applications of Fourier Series in Signal Processing and Engineering
Fourier
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Construction
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Megaproject Spotlight: Constructing the World’s Longest Railway Tunnel
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Modernism & Mishaps in Mega Project Management
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Lessons from the Tacoma Bridge Collapse: Avoiding Historic Construction Failures
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Lessons from Historic Construction Failures: Tower of Pisa and Beyond
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Mathematics
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Partial derivatives
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Probability and Statistics, including Distributions and Hypothesis Testing
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17 Of The Most Important Equations You'll Ever Learn
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Vector Calculus and its Applications in Science
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Integral and Trigonometric Relationships
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The Rise of Generative AI And Its Challenges
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ChatGPT Challenges in Engineering Data Calculation
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Construction industry challenges: Common Data Environments
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Importance of data integration for the construction industry
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Why Cloud-Based Software is the Future of the Construction Industry
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Civil Engineering Software To Transform Your Calculations
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Transform Your Python Script into a Web App with CalcTree: A Step-by-Step Guide
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Streamlining Your Workflow: How to Connect Spreadsheets and Python Scripts with CalcTree
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Embedding Spreadsheet Values in Reports with CalcTree
Structural Embodied Carbon Calculation
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Transform Your Engineering Spreadsheets into Web Apps with CalcTree: A Step-by-Step Guide
CT - RC Column Design to AS3600
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Enhancing Civil Engineering Calculations in Chatbots with CalcTree API Integration
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Use Parameters with Python
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Units in Python
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Tensile Strength and Capacity Control of the W-Shape Sections According to AISC 360-16
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Earthquake Design Action Calculation
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Projectile motion
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This page performs the beam design of beam "VC" of our simple project example.
📝 This calculation has been written in accordance with AS3600:2018.
Calculation
Technical notes and assumptions
Parameter symbols
Parameters
Loads
N*
:0kN
V*
:122kN
M*
:92kN m
Section Geometry
B
:500mm
D
:800mm
c
:50mm
Tensile (Bottom) Reinforcement:
db.st
:20mm
n1
:9
Shear Reinforcement:
db.sv
:20mm
s
:125mm
n
:4
Shear Check - Method of Analysis
Method for calculating shear factor kv
:General
dg (for general method)
:16mm
Material Properties
f'c
:32MPa
Ec
:20,000MPa
fy
:420MPa
Es
:200,000MPa
f'ct.f
:3.39MPa
f'ct
:2.04MPa
Geometric Properties
Ast,prov
:2,827mm2
Ag
:4.00e+5mm2
Zx
:5.3e+7mm3
Ixx
:21,333,333,333mm4
α2
:0.85
γ
:0.8260000000000001
d
:720mm
dn
:43.65889790650515mm
Shear Properties
kv
:0.2961918641976436
bv
:500mm
dv
:648mm
√f'c
:5.656854249492381
εx
:0.00023365065767659684Design Checks
Flexural Checks
Flexural capacity:
ϕ (moment)
:0.8
ϕMu
:643kN m
Flexural util
:0.14385435169714145Min tension reinf check:
Ast,min
:718mm2
Ast,prov
:2,827mm2
Check
:OKDuctility check:
kuo
:0.14682169056532535
ku <0.36
:PASS
Shear Checks
Shear capacity:
ϕ (shear)
:0.7
ϕVuc
:380kN
ϕVus
:2636.095541501622kN
ϕVu
:3016kN
Shear util
:0.04032068951770275Min shear reinf check:
Shear reinf req?
:REQUIRED
Asv,min
:67mm2
Asv,prov
:1257mm2
Check (1)
:OK
Max shear strength check:
ϕVu.max
:1898kN
ϕVu < ϕVu.max
:PASS