Advanced Mechanical Engineering Solutions
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Calculators
Examples
GUIDELINES
Reference
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Beam Deflection and Stress Calculators :
Column buckling and compression member design
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Formulas for column buckling calculations
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Column buckling calculations for a solid round bar
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I Beam buckling calculations
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Simply supported structural beam stress and deflection analysis for multiple point/distributed loads and moments
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Simply supported structural beam with concentrated load at any point
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Simply supported structural beam with two concentrated loads
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Simply supported structural beam with partially distributed load at one end
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Simply supported structural beam with partially distributed intermediate load
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Simply supported structural beam with two partially distributed intermediate loads
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Simply supported structural beam with a moment
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Simply supported structural beam with two moments
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Cantilever structural beam stress and deflection analysis for multiple point/distributed loads and moments
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Cantilever structural beam with concentrated load at any point
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Cantilever structural beam with a moment
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Cantilever structural beam with partially distributed load at one end
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Cantilever structural beam with partially distributed intermediate load
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Fixed structural beam stress and deflection analysis for multiple point/distributed loads and moments
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Fixed structural beam with concentrated load at any point
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Fixed structural beam with a moment
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Fixed structural beam with partially distributed load at one end
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Fixed structural beam with partially distributed intermediate load
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Simply supported beam deflection calculation example
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Contact Mechanics:
Contact calculations of sphere in circular race
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Example of contact stresses in a steel ball bearing
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Formulas for Hertzian contact stress calculations
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Hertzian contact stress calculations
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Converters:
Metric - Inch unit conversion
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dB converter
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Cross Sectional Properties of Shapes and Profiles:
I-Beam sectional properties calculator
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Steel wide flange I Beam sizes (ASTM)
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American standard beam (S shape) sizes
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Aluminum I beam sizes (Aluminum Association)
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Tee section sectional properties calculator
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C channel sectional properties calculator
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Equilateral triangle area, height and section properties calculator
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Isosceles triangle area and section properties calculator
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American standard steel channel (C shape) sizes
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Steel angle with equal legs (L shape) sizes
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Aluminum channel sizes (Aluminum Association)
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Round hollow tube sectional properties calculator
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Round solid bar sectional properties calculator
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Rectangular hollow section sectional properties calculator
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Angle with unequal legs sectional properties calculator
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Square hollow structural section (HSS) dimensions
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Rectangular steel tube sizes and dimensions
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Round steel tube sizes and dimensions
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Rectangular solid bar sectional properties calculator
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Schedule 40 steel pipe sizes and dimensions
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Schedule 80 steel pipe sizes and dimensions
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Dimensions and properties of pipes (Std, x-Strong, xx-Strong)
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British universal steel beams
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Metric steel unequal angles properties and dimensions
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Metric steel equal angles properties and dimensions
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Fasteners:
Machine Screws
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Machine Screws General Data
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Button head socket cap screw dimensions
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Metric hexagon socket button head screw dimensions
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Socket head cap screw dimensions
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Hex socket dimensions
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Spline socket dimensions
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Metric socket head cap screw dimensions
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Low head socket cap screw dimensions
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Flat head socket cap screw dimensions
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Metric socket set screw dimensions
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Metric slotted set screw dimensions
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Hex head bolt - heavy hex head bolt dimensions
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Hex - heavy hex head cap screw dimensions
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Flat head wood screw dimensions
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Oval head wood screw dimensions
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Pan head wood screw dimensions
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Wood screw dimensions
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Bolt grades and strengths
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Machine screw nut dimensions
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Hex nut - jam nut - heavy hex nut dimensions
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Nut grades, identification markings and strength (Metric)
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Metric hex nut dimensions
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Hex nut dimensions (Metric fine pitch thread)
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Metric hex jam nut dimensions (coarse pitch thread)
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Metric hex jam nut dimensions (fine pitch thread)
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Metric hex jam nylon lock nut dimensions
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Metric prevailing torque values of lock nuts
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Metric nylon insert locknut dimensions
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Metric metal insert locknut dimensions
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Metric hex flange nut dimensions - Coarse thread
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Metric hex flange nut dimensions - Fine thread
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Metric hex flange lock nut with nylon insert dimensions - Coarse and Fine thread
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Slotted nut dimensions
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Hex thick nut dimensions
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Acorn nut dimensions
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Flat washer dimensions
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Metric flat washer dimensions
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Fender washer dimensions
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Split lock washer dimensions
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Tooth lock washer dimensions
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Forged eye bolt dimensions
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Forged eye bolt capacity and strength
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Clevis pin sizes
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Cotter pins dimensions (Inch)
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Dowel pins dimensions (Inch)
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Hole sizes for dowel pins (Inch)
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Metric clevis pins dimensions
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Metric split pins dimensions
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External circlips for shafts (Metric)
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Internal circlips for bores (Metric)
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Small solid rivets dimensions (7/16 Inch nominal diameter and smaller)
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Human Factors & Ergonomics:
Anthropometry
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Human factors and ergonomics
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Ergonomics
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A simple ergonomics case study - human factors & ergonomics
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Human Factors Simulation Software
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Woodruff / Parallel / Taper Keys - Hub Keyways - Shaft Keyseats:
Depth values for shaft keyseats - hub keyways
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Fit tolerances for parallel and taper keys
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Gib head dimensions for taper keys
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Key size versus shaft diameter
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Set screws for use over keys
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Parallel and taper key dimensions and tolerances
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Woodruff key sizes and dimensions
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Woodruff keyeat dimensions
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Limits, Fits and Tolerances:
Limits, fits and tolerances calculator (ISO)
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ANSI limits and fits calculator
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Preferred fits and tolerances charts (ISO)
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Preferred tolerances and fits charts (ANSI)
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Interference (press & shrink) fit calculator
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Formulas for press fit / shrink fit calculations
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Precision measuring tools for shaft and hole measurements
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Mass Moment of Inertia Calculators:
Mass moment of inertia of a hollow shaft calculator
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Mass moment of inertia of a cylinder calculator
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Mass moment of inertia of a hollow sphere calculator
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Mass moment of inertia of a sphere calculator
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Mass moment of inertia of a rectangle shaped thin plate calculator
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Mass moment of inertia of a thin rod
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Material Properties:
Material properties of aluminum 6061
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Material properties of aluminum 7075
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Density of materials
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Linear thermal expansion coefficient values of metals
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Modulus of elasticity values of metals
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Posisson's ratio values of metals
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Specific heat values of metals
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Mechanical Coil Springs:
Critical working frequency of compression springs
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Compression spring design (Dimensional or rate based)
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Compression spring calculator for fatigue loads
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Compression spring design example
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Compression spring calculator (Load based design)
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Compression springs terms and definitions
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Extension spring design calculator
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Extension spring calculator for fatigue loads
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Extension spring calculator for static loads
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Extension spring design example
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Mechanical Vibrations:
Cantilever beam natural frequency calculator
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Fixed beam natural frequency calculator
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Simply supported beam natural frequency calculator
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Single degree of freedom vibration calculator
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Sinusoidal (Harmonic) motion calculations
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Natural frequency of a vibrating spring
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String vibration calculator
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Torsional vibration natural frequency of a shaft calculator
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Vibration isolation and control systems
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Screws Threads:
Unified inch screw threads and tolerances
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Standard series for Unified inch screw threads
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Dimensions for #0000, #000 and #00 threads
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Tap drill sizes
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Roll tap drill sizes
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Counterbore sizes for socket head cap screws
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Counterbore sizes for metric socket head cap screws
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Clearance holes for bolts, screws and studs (Inch)
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Helicoil insert length selection (Inch)
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Helicoil tapped hole dimensions (Inch)
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Bolt torque calculator
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Bolt torque factors and bolt tension measurements
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ISO metric screw thread sizes and tolerances
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Metric trapezoidal thread dimensions
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Metric self tapping screw thread dimensions
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General purpose metric screw threads table
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Metric bolt grades and strength
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Properties for stainless steel metric bolts and screws
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Metric bolt torque values
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Metric tap drill sizes
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Clearance holes for bolts, screws and studs (Metric)
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General purpose Acme thread dimensions
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Stub Acme screw thread dimensions
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Leadscrew torque calculations for Acme thread
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Friction coefficients in lead screws
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Friction coefficient values in bolted joints
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Buttress Inch Screw Threads Dimensions
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Rough calculation of metric bolt sizes
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Bolt sizing example for pressure vessel cap
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British standard pipe parallel (BSPP) thread dimensions
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British standard pipe taper (BSPT) thread sizes and dimensions
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NPT Pipe Thread Dimensions
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Drill Sizes for NPT Threads
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Stress - Strain Analysis:
Mohr's circle for 3D stress analysis
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Hooke's law for general stress - strain calculations
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Modulus of rigidity
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Plane strain and principal strains
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Plane strain and transformations
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Plane stress calculation with strain rosette results
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Strain gage rosette example
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Principal stress and maximum shear stress calculator
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Plane stress and transformations
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Strain measurement with strain rosette
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Shear stress (single and double shear)
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Thin walled pressure vessel stress calculations
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Thin walled pressure vessel example
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Yield criteria for ductile materials
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Stress Concentration Factors:
A central circular hole in a finite plate
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A central circular hole in an infinite plate
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An eccentric circular hole in a finite-width plate
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An elliptical hole in a finite-width plate
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A rectangular hole in an infinite plate
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Two equal circular holes in an infinite plate
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Shoulder fillet in a stepped shaft
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A large circumferential groove in a circular shaft
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U-shaped groove in a shaft
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V-shaped groove in a shaft
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A transverse circular hole in a round bar
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Opposite shoulder fillets in a bar
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A closely fitting round pin joint in an finite-width plate
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Structural Analysis of Beams and Shafts:
Hollow structural section (HSS) design for strength
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I beam design for strength
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Linear thermal expansion
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Stress strain calculator
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Thermal stress in a bar
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Thermal stress in a uniform plate
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Rectangular beam design for strength
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Stresses in rotating rings (Annular disks)
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Torsion of solid and hollow shafts
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Torsion in solid rectangular sections
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Torsion in solid square sections
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Calculation example of torsion of a solid shaft
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Timber beam design for strength example
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Tools, Bits and Keys Calculators:
Allen (hex) key and hex bit sizes
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Spline key and bit sizes
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Drill bits - Jobbers length twist drills
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Drill bits - Straight shank taper length twist drills
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Drill bits - Screw machine length twist drills
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Drill bits - Taper shank twist drills
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Calculators
Beam Deflection Calculators
Engineering Unit Converter
Fastener Dimensions
Hertzian Contact Calculator
Keys and Keyseats
Limits, Fits and Tolerances
Material Properties
Mechanical Springs
Screw Thread Calculators
Sectional Properties Calculator
Stress Concentration Factors
Stress/Strain Analysis
Structural Analysis of Beams
Tooling Calculators
Vibration Calculators
Guidelines
Anthropometry
Applications of ergonomics
A simple ergonomics case study
Basic tools for ergonomics
Ergonomics
Vibration Control
Precision Measuring Tools
ASME Thread Standards
ISO Thread Standards
Types of Gears