# Mechanical calculators

### Engineering Calculators

- Section Properties Selected Shapes
- Triangle / Trigonometry Solutions
- Simple Levers
- Spring Design
- Deflections and Stress
-- Machine Design
- Heat Transfer
- Manufacturing
- Thread Installation Stress / Strength
- Strain Gauge
- Tolerance Analysis Utilizing Geometric Dimensioning Tolerancing GD&T and Other Principles
- Motion Control Design
- Pressure Vessel
- Fluids
- Sheet Metal Bend Allowance
- Friction Equations and Analysis
- Plastic Snap Fit
- Conversions, Fluids, Torque, General

### BeamBoy -Beam Analysis Tool

BeamBoy is a utility for calculating engineering stress and deflection in structural beams and shafts. BeamBoy is freeware and is available for download on this page and many others.

Author: Richard Getze

BeamBoy features:
- English or Metric units
- Selection of beam cross-section from standard sizes
- Assisted calculation of moment of inertia

### Atlas - Free beam analysis AND DESIGN program

Atlas computes the resulting moments and reaction forces for a given beam with loads applied to it (single as well as distributed), using Cross' method.

The program has a very easy interface. It lets you enter your data with the mouse, and it shows the resulting moments and shear forces immediately in both a graphical and numerical way. Maximum bending moments can easily be calculated.

### HAMLET Applets

#### Statics and Mechanics of Materials

- Beam Analysis - Shows Shear, Moment and Deflection diagrams for variable loadings.
- Mohr's Circle - Interactive display of Mohr's Circle.
- Slipping or Tipping - Force on a weight resting on an inclined plane, will it slip, tip, or stay right there?
- Centroid / Moment of Inertia - Calculates centroid, moment of inertia for user configured cross-sections.
- Pulley - Problem involves a rope, two pulleys and two weights, along with a free body diagram of one of the pulleys.
- Vector3D - This applet shows a 3D representation of vectors, calculates vector sum, difference, cross products and dot product.

#### Dynamics

- Dynamics Relative Motion - Shows the velocities and accelerations of an ant, rotating bar and a truck.
- Collision 2D - Collision2D applet.
- Rolling Disk - Applet shows a disk rotating inside a cylinder. The velocity of any point on the disk may be shown graphically by clicking on a location on the diskl.
- Instant Centers of Zero Velocity - Shows IC point for a rod and piston system, to calculate the velocity of the piston.
- Angular Momentum - Angular Momentum applet.
- Work and Energy - Work and Energy relations are used for a weight attached to a wheel.
- Gyroscopic Motion - Shows the motion of a spinning top based for steady precession.
- Motorcycle Wheely - Analyze forces on an accelerating motorcycle, see what it takes to do a wheely.

### Java Applets for Engineering Education

Fluid Dynamics
- Ideal flow machine
- Compressible Aerodynamics Calculator
- Converging Diverging Nozzle Simulator
- Thermodynamics of Air
- Real Gas Shock Calculator
- Boundary Layer Applets + Convection
- Heat Conduction Applets
- Vortex Panel Method

Statics
- Mohr's Circle Applet
- Beam Analysis
- Resultant of Vectors

Dynamics
- Motion on Curved Paths
- Projectile Motion I
- Projectile Motion II
- Projectile Motion III
- Projectile Motion IV

### Structural Element Calculators

#### Statics:

- Simply-supported Beam Reaction Calculator: Calculates reactions for simply-supported beam with uniformly distributed load and/or up to 3 concentrated loads.
- Three-hinged Arch Reaction Calculator: Calculates reactions for 3-hinged arch with uniformly distributed load and/or up to 3 concentrated loads.
- Cable Reaction Calculator: Calculates reactions for cable with uniformly distributed load and/or up to 3 concentrated loads.
- Simply-supported Beam Moment and Shear Calculator: Calculates reactions, maximum positive and negative bending moments, and maximum positive and negative internal shear forces for simply-supported beam with uniformly distributed load and/or up to 3 concentrated loads.
- Truss reaction and bar force Calculator: Calculates reactions and bar forces for Howe, Pratt, or Warren trusses.
- Three-hinged arch bar force Calculator: Calculates reactions and bar forces for "triangular" three-hinged arches.
- Cable internal axial force Calculator: Calculates reactions and internal axial forces for cable.

- Snow load Calculator: Calculates snow loads based on slope, surface characteristics, and other parameters.
- Governing load Calculator: Calculates governing load combinations for allowable stress design or strength design (LRFD).
- Wind Pressure Calculator: Calculates the wind pressure (psf) on the windward and leeward faces of rectangular buildings with flat roofs, after entering values for wind speed, exposure, roof height, importance, plan dimensions, directionality factor, and topography factor.
- Seismic and Wind Force Calculator: Calculates and compares the wind and seismic story forces on a building, after entering general data (city, importance factor), seismic data (site class, seismic force resisting system), and wind data (exposure category, plan and parapet dimensions, and coefficients for directionality and topography).

#### Tension elements:

-Elongation due to axial load Calculator: Calculates elongation (as well as stress and strain) for prismatic elements subject to axial force.
- Wood tension element capacity Calculator: Calculates capacity of a wood tension element based on allowable tension on net area (reduced by bolt holes) and, if desired, row and group tear-out.
- Steel tension element capacity Calculator: Calculates capacity of a steel tension element based on yielding of gross area or rupture of effective net area.

#### Columns:

- Wood Column Calculator: Calculates the capacity (maximum safe load) for wood columns, after entering values for modulus of elasticity, allowable stress, duration of load factor, and effective length (height).
- Steel Column Calculator: Calculates the capacity (maximum safe load) for steel columns, after entering values for ASTM designation, section type, effective length coefficient, and unbraced length.
- W-shape Steel Column Design Calculator: Finds the lightest acceptable W-shape steel column for a given axial load and effective length.
- Reinforced Concrete Column Calculator: Analyses and designs tied or spiral (rectangular or circular) reinforced concrete columns based on the strength method.

#### Beams:

- Wood Beam Calculator: Selects the lightest sawn lumber beams, after entering values for span, spacing, species, grade, deflection criteria, and design criteria (i.e., design for bending, shear, deflection, lateral support, or any combination thereof).
- Steel Beam Calculator: Selects the lightest laterally-supported W-shape steel floor beam, after entering values for span, spacing, yield stress, deflection criteria, and design criteria (i.e., design for bending, shear, deflection, or any combination thereof).
- Reinforced Concrete Beam and 1-way Slab Calculator: Finds required rebar area for rectangular beams and T-beams; for 1-way slabs, calculates required spacing for selected bar size.

#### Connections:

- Wood Fastener Capacity Calculator: Finds capacity of bolts, lag screws, or nails used as fasteners in wood construction, using either wood or steel side plates.
- High-strength Steel Bolt Capacity Calculator: Finds capacity of high-strength steel bolts stressed in shear.

### Strength of materials online

FEA online. Frame, beam analysis.

- SNOW LOADING ANALYSIS - ASCE 7-05 Code for Buildings with Flat or Low Slope Roofs - for Balanced Snow, Drift, and Rain-on-Snow Surcharge Loadings
- ICE LOADING ANALYSIS (WT, MT & ST SHAPES) - ASCE 7-05 Code - Chapter 10- for Ice Loads Due to Freezing Rain on WT, MT & ST Shapes
- ICE LOADING ANALYSIS (W, M, S & HP SHAPES) - ASCE 7-05 Code - Chapter 10 - for Ice Loads Due to Freezing Rain on W, M, S, and HP Shapes
- ICE LOADING ANALYSIS (C & MC SHAPES) - ASCE 7-05 Code - Chapter 10for Ice Loads Due to Freezing Rain on C and MC Shapes
- SEISMIC BASE SHEAR (SINGLE-LEVEL BUILDINGS) - IBC2006 and ASCE 7-05 Specifications - Using Equivalent Lateral Force Procedure for Regular Single-Level Building/Structural Systems
- WIND LOADING ANALYSIS (LOW-RISE BUILDINGS) - ASCE 7-05 Code for Enclosed or Partially Enclosed Buildings, Using Method 2: Analytical Procedure (Section 6.5) for Low-Rise Buildings

### CBA - continuous beam analysis

This is a small engineering tool that calculates member forces and support reactions of a continuous beam
it is based on CBA.m for matlab/octave by Colin Caprani

### Beam Design Calculator

For Beam design using the spreadsheet program MS Excel. Must be Online to operate the application.

### THERMAL CALCULATORS

The following thermal calculators are provided to assist you with your thermal management problems.

- Slab Thermal Resistance
- Cylinder Thermal Resistance
- Hollow Cylinder Thermal Resistance
- Slab Thermal Resistance With Constriction
- Slab Mass Thermal Resistance
- Mass Flow Thermal Resistance
- Slab Fin Efficiency
- Pin Fin Efficiency
- Forced Convection Heat Sink Thermal Resistance
- Solid State Thermoelectric Peltier Cooler Thermal and Electrical Performance

### eFatique

eFatigue is a website devoted to helping you analyze and solve problems in durability and fatigue of structures and components.

The computational part of the eFatigue website is divided in two parts, eFatigue and Fatigue Calculator. There are no charges or sign in required to use any of the Fatigue Calculators. Many of the Fatigue Technologies listed on the left sidebar have Fatigue Calculators. The eFatigue portion of the website requires a sign in and contains more computationaly intensive Fatigue Analyzers and enhanced features for the Fatigue Calculators.

The eFatigue website has a number of documented benchmark problems containing all of the information needed for fatigue analysis. Here you can use the Fatigue Calculators or Fatigue Analyzers to compute fatigue lives and then compare the results of your analysis with the experiments. These benchmark problems will give you experience in using eFatigue and increase your confidence in your ability to solve other more complex fatigue problems.

With eFatigue Analyzers you can save time, money and effort when ever you need

- Fatigue analysis from Finite Element Models,
- Variable amplitude fatigue analysis from data files, or
- Fatigue analysis from strain gage rosette or other multiaxial data.

### Dirac Delta Calculations

- Aerodynamics
- Algebra
- Architectural Acoustics
- Architecture
- Audio
- Automotive
- Civil Engineering
- Classical Mechanics
- Electronics
- Engines
- Geometry
- Mathematics
- Mechanical Engineering
- Noise & Vibration
- Optics
- Physics
- Signal Processing
- Trigonometry
- Units

### Thermal Wizard

- Units Conversion Units Conversion
- Material Properties Material Properties
Metals Metals
Non-metals Non-metals
Air Air
Gases Gases
Water Water
Liquids Liquids
Other Libraries Other Libraries
- Conduction Calculators Conduction Calculators
Across Multilayer Plate Across Multilayer Plate
Across Multilayer Cylinder Across Multilayer Cylinder
Across Contacting Surfaces Across Contacting Surfaces
Embedded Plate Embedded Plate
Embedded Rectangle Embedded Rectangle
Embedded Cylinder Embedded Cylinder
Embedded Two Cylinders Embedded Two Cylinders
- Convection Calculators Convection Calculators
Forced Forced
Natural Natural
Parallel Rectangle Surfaces Parallel Rectangle Surfaces
Parallel Square Surfaces Unequal Size Parallel Square Surfaces Unequal Size
Parallel Circular Surfaces Parallel Circular Surfaces
Perpendicular Surfaces Perpendicular Surfaces