CALCULATORS AND MATHCAD FILES DISCUSSED IN Edition 2006
ADVANCED ENGINEERING DESIGN
LIFETIME PERFORMANCE AND RELIABILITY

Chapter 1:   Reliability engineering
Chapter 2:   Failure modes of machine elements
Chapter 3:   Fatigue failure prediction and prevention
Chapter 4:   Rolling contact phenomena
Chapter 5:   Friction phenomena in mechanical systems
Chapter 6:   Wear mechanisms
Chapter 7:   Material selection a systematic approach
Chapter 8:   Lubricant selection and lubrication management
Chapter 9:   Design of hydrodynamic bearings and sliders
Chapter 10:  Performance and selection of sealing systems
Chapter 11:  Design of hydrostatic bearings
Chapter 12:  Design of aerostatic bearings
Chapter 13:  Design of flexure mechanisms
Chapter 14:  Bearings in high tech systems
 

The formulae used in the calculators are available in Mathcad files MathCad file. With these files and the Mathcad program available on CD, the designer may in a user friendly way adapt or extend calculations for specific applications. For a first impression of a Mathcad file click Show Mathcad example>>

  Chapter 1: Reliability engineering   TOP
c1.1 Calculation of probability interval from measured data MathCad
c1.2 Estimation of the standard deviation and tolerance interval MathCad
c1.3 Probabilistic analysis press-fit connection
c1.4 Probabilistic analysis of failed heavy duty hydraulic cylinders MathCad
c1.5 System reliability analysis
c1.6 Realibilty data conversion , σ --> R(t)
c1.7 Realibilty data conversion L10 --> R(t)
c1.8 Failure of a waterway lock gate could be prevented by FMEA MathCad
c1.9 Train derailment investigated by Root Cause Analysis
p1.1 Chain dimensioning
p1.2 Estimation of service interval
p1.3 Conversion of MTBF --> R(t)
p1.4 Fault Tree Analysis (FTA)
p1.5 Bearing reliability versus L10 life expectancy
p1.6 Realibilty factors for fatigue failure
p1.7 System reliability
p1.8 Weibull Failure Distribution, collective life of bearings
T1.2a Normal percentile calculator t MathCad
T1.2b Normal percentile calculator R(t) MathCad
    Chapter 2: Failure modes of machine elements   TOP
C2.1 Failure analysis of cam follower mechanisms
C2.2 Failure analysis of rail-wheel contacts
C2.3 Failure modes in roller bearings
C2.4 Failure modes of gears
C2.5 Failure modes of screw joints
    Chapter 3: Fatigue failure - prediction and prevention   TOP
c3.1 Design considerations of a bicycle crank spider arm
c3.2 Save stress design of a shaft subjected to rotational bending
c3.3 Fatigue life of a shaft subjected to rotational bending
c3.4 Fatigue strength of a shaft subjected to torsion
c3.5 Design of a dynamically loaded bolted joint
c3.6 Design of a reciprocating compressor piston rod connection
c3.7 Fatigue life of a transverse butt weld
c3.8 Fatigue life of a weld subjected to varible amplitude loading
p3.1 Fatigue of a bicycle front fork
p3.2 Save stress design of cardan joint spline drive shaft
p3.3 Geometrical stress concentration of a grooved shaft
p3.4 Reliability factor of a multi-notched shaft
p3.5 Save stress design of a drive shaft with transverse hole
p3.6 Fatigue failure probability hydraulic cylinder studs
p3.7 Infinite life design compression spring
p3.8 Fatigue life welded connection in a hydraulic cylinder
    Chapter 4: Load rating and rolling contact fatigue   TOP
C4.1a Hertzian point contact - contact pressure and dimensions MathCad
C4.1b Hertzian point contact - static load rating MathCad
C4.2a Hertzian elliptic contact - contact pressure and dimensions MathCad
C4.2b Hertzian elliptic contact - static load rating MathCad
C4.3a Hertzian line contact - contact pressure and dimensions MathCad
C4.3b Hertzian line contact - static load rating MathCad
C4.4 Design of spherical thrust bearings (pivot bearings) MathCad
C4.5 Analysis of lubrication regimes in deep groove ball bearings.
C4.6 Basic static load rating of a deep groove ball bearing (Hertz) MathCad
C4.7 Dynamic load rating of a deep groove ball bearing (fatigue life)
C4.8a Precision ball bearing slide with limited travel
C4.8b Rolling guide with recirculating balls
C4.8 Effect of preload in rolling guided
C4.9a Surface durability of spur gears (ISO 6336) MathCad
C4.9b Tooth-root stress of spur gears (ISO 6336) MathCad
C4.10 Maximum traction force in traction drive mechanisms MathCad
C4.11 Design of traction drive mechanisms - plane wheels MathCad
C4.13 Design of traction drive mechanisms - crowned wheels
p4.1 Load carrying capacity of a roller guide
p4.2 High speed hybrid ball bearing
p4.3a Traction drive mechanisms, EHL-line contact.
p4.3b Traction drive mechanisms, EHL-point contact.
p4.4 Surface durability of a gear set
p4.5 Brinell hardness test
e4.1 Contact pressure in metal journal bearings MathCad
    Chapter 5: Friction phenomena in mechanical systems   TOP
C5.1 Calculation of the real contact area between two sliding surfaces
C5.2 Calculation of the real contact area between ball and raceway
C5.3 Calculation of the real contact area between gear teeth
C5.4 Nominal contact temperature pin-on-disc configuration (flat-on-flat). MathCad
C5.5 Nominal contact temperature ball-on-disc (point contact). MathCad
C5.6 Nominal contact temperature 4-ball configuration. MathCad
C5.7 Flash temperature ball-on-disc configuration (point contact). MathCad
c5.8 Critical damping for which stick slip vibration may vanish
c5.9a Virtual play in a robot arm
C5.9b Design of a power belt drive. MathCad
C5.10 Design of a screw joint (tightening torque to preload a bolt) MathCad
C5.11 Design of a screw joint (max. tightening torque to preload a bolt) MathCad
C5.10 Design of a screw joint (max. external load)
C5.11 Thread stripping strength
C5.12 Design of a Power screw actuator (screw efficiency) MathCad
c5.13 Screw torsion and stick slip frequency
C5.14 Design of an interference fit (shrink-fit / press-fit / expansion-fit) MathCad
C5.15 Design interference fits for thin walled tubes
C5.16 Cone type shaft hub connection
C5.17 Slide bearing compressive strength and stiffness.
e5.1 Frictional heating of a disk brake
e5.2 Motivation of tire width Formula 1 racing can
e5.3 Acceleration of Formula 1 racing car
e5.4 Self locking of metric thread and nut
e5.5 Preloaded bolt under static loading, maximum payload
e5.6 Jamming of a piston in a cylinder
    Chapter 6: Wear mechanisms of machine elements   TOP
C6.1 Specific wear rate in a pin-on-disk contact (circular plane surface) MathCad
C6.2 Specific wear rate in a ball-on-disk contact (nominal point contact)
C6.3 Specific wear rate in a pin-on-ring contact (nominal line contact) MathCad
C6.4 Service life of a plain bearing (non-stationary contact conditions) MathCad
C6.5 Service life of a plain bearing (stationary contact conditions) MathCad
C6.6 Service life and efficiency of a power screw MathCad
    Chapter 7: Material selection a systematic approach   TOP
C7.1 Selecting the right interference fit of polymer bearings.
C7.2 Polymer selection based on compressive strength
C7.3 Polymer selection based on bearing stiffness
C7.4 Selecting the right bearing clearance of a polymer bearing
C7.5 Selecting the right bushing dimensions of a polymer bearing
C7.6 Limiting Pressure Velocity Value, LPV-value of polymer bearings MathCad
C7.6 Selecting the right interference fit of ceramic bearings
C7.7 Material selection plain bearing CD-Rom drive
C7.8 Material selection spherical thrust bearing
    Chapter 8: Lubricant selection and lubrication management   TOP
C8.1 Running in of concentrated contacts
C8.2a Cylinder viscometer MathCad
C8.2b Cone on plate viscometer MathCad
C8.3 Fuel economy benefit by changing from SAE-15W40 to SAE-5W30
C8.4 Computation of fuel economy benefit
    Chapter 9: Design of hydrodynamic bearings and sliders    
C9.1 Design of counter rotating propeller shaft bearings
C9.2 Design of a plane slider bearing (Michell-bearing). MathCad
C9.3a Design of hydrodynamically lubricated journal bearings. MathCad
C9.3b Design optimization of journal bearings - film thickness. MathCad
C9.3c Design optimization of journal bearings - friction MathCad
C9.4 Maximum impact loading of a journal bearing
C9.5 Dynamically loaded Michell bearing (impulse method) MathCad
P9.1 Ocvirk solution MathCad
P9.2 Analysis of lubrication regimes in wire drawing.
P9.3 Analysis of lubrication regimes in sheet-metal-rolling.
    Chapter 10: Performance and selection of sealing systems   TOP
C10.1 Analysis of mechanical face seal properties MathCad
C10.2 Analysis of internal friction in a pneumatic cylinder
C10.3 Design of a dynamic O-ring piston seal assembly
  Chapter 11: Design of hydrostatic bearings   TOP
C11.1 Design of a hydrostatic thrust bearing with shallow pocket MathCad
C11.2 Design of a hydrostatic thrust bearing with tapered pocket MathCad
C11.3 Design of a hydrostatic thrust bearing with capillary restrictor MathCad
C11.4 Design of a hydrostatic thrust bearing with orifice restrictor MathCad
C11.5 Design of a 4-pocket journal bearing with capillary restrictor
C11.6 Design of a 4-pocket journal bearing with orifice restrictor
C11.7 Design of a partially grooved hydrostatic journal bearing MathCad
P11.2 Design of a 4-pocket thrust bearing applied in lock gates
  Chapter 12: Design of aerostatic bearings   TOP
C12.1a Long aerostatic thrust bearings with shallow pocket MathCad
C12.1b Circular aerostatic thrust bearings with shallow pocket MathCad
C12.2 Aerostatic thrust bearings with partial grooved surface MathCad
C12.3 Aerostatic thrust bearings with tapered pocket MathCad
C12.4a Circular aerostatic thrust bearings with inherent orifice restrictor MathCad
C12.4b Circular aerostatic thrust bearings with simple orifice restrictor MathCad
C12.4c Circular aerostatic thrust bearings with circular segmented groove MathCad
C12.4d Circular aerostatic thrust bearings with grouped inherent orifices MathCad
C12.4e Circular aerostatic collar bearings with inherent orifices MathCad
C12.4f Circular vacuum preloaded air bearings with inherent orifices MathCad
C12.5a Design of aerostatic thrust bearings with porous restrictor MathCad
C12.6 Design of aerostatic journal bearings with partial porous surface MathCad
C12.7 Design of aerostatic journal bearings with two porous rings MathCad
C12.8 Design of partially grooved aerostatic journal bearings MathCad
C12.9 Design of a pneumatic cylinder with aerostatic piston bearing
C12.10 Design of a high performance linear motion axis
T12.1 Gas viscosity versus temperature MathCad
    Chapter 13: Design of high precision flexure mechanisms   TOP
C13.1 Design of leaf spring guides
C13.2 Design of notched hinges, XY parallel mechanism MathCad
P13.1 Design of helical springs
P13.1 Design of helical springs
P13.2 Design of helical springs
P13.3 Design of flexure plain bearings
    Chapter 14: Bearings in high tech systems   TOP
C14.1 Design of a V-pivot jewel bearing system, MEMS device
C14.2a Design of a spiral groove thrust bearing. MathCad
C14.2b Design of a spiral groove thrust bearing. MathCad
C14.3 Design of a herringbone spiral groove thrust bearing. MathCad
C14.4 Design of spiral groove journal bearings. MathCad
C14.4 Design of spiral groove journal air bearings.
C14.4 Design of plain radial air bearings.
C14.5 Design of magnetic fluid bearings
C14.6 Design of magnetic bearings
C14.7 Design of foil air bearings
C14.8 Design of hybrid bearings in high speed rotary applications
P14.1 Load capacity of knife edge jewel bearings
P14.2 Load capacity of pivot jewel bearings
    Conversion   TOP
Temperatures, Celsius, Kelvin, Fahrenheit.
Shaft speed, rpm, revs, m/s, rad/s
Hardness, Brinell, Vickers, Rockwell ...
SI Unit converter, viscosity, power, force ... MathCad
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