Engineering Formula Library
148 engineering formulas covering seven categories of precision elastic component design
All Formulas
164 formulas
Tightening Torque
Tightening Torque
Min Assembly Preload
Min Assembly Preload
Max Assembly Preload
Max Assembly Preload
Permissible Assembly Stress
Permissible Assembly Stress
Tightening Factor αA
Tightening Factor αA
K-Factor (Nut Factor)
K-Factor (Nut Factor)
Wedge Self-Locking Condition
Wedge Self-Locking Condition
Locking Torque
Locking Torque
Unlocking Torque
Unlocking Torque
Anti-Vibration Safety Factor
Anti-Vibration Safety Factor
Lock/Unlock Torque Ratio
Lock/Unlock Torque Ratio
Effective Friction Diameter
Effective Friction Diameter
Working Stress Check
Working Stress Check
Fatigue Stress Check
Fatigue Stress Check
Preload Loss from Embedding
Preload Loss from Embedding
Surface Pressure Check
Surface Pressure Check
Thermal Preload Change
Thermal Preload Change
Anti-Slip Safety Factor
Anti-Slip Safety Factor
Nominal Diameter Estimate
Nominal Diameter Estimate
Washer-Bolt Size Match
Washer-Bolt Size Match
Min Thread Engagement
Min Thread Engagement
Material & Surface Selection
Material & Surface Selection
Teeth & Cam Optimization
Teeth & Cam Optimization
Reuse Assessment
Reuse Assessment
Force-Deflection with Knurling Correction
Force-Deflection with Knurling Correction
Spring Stiffness Z/M/L Comparison
Spring Stiffness Z/M/L Comparison
OM Point Stress
OM Point Stress
Effective Friction Coefficient
Effective Friction Coefficient
Torque Coefficient K Factor
Torque Coefficient K Factor
Tooth Penetration Depth (Single-Face)
Tooth Penetration Depth (Single-Face)
Anti-Loosening Torque
Anti-Loosening Torque
Junker Residual Preload Ratio
Junker Residual Preload Ratio
Loosening Safety Factor
Loosening Safety Factor
Preload Decay from Embedding
Preload Decay from Embedding
Tooth Tip Contact Pressure (Hertz)
Tooth Tip Contact Pressure (Hertz)
Washer Body Combined Stress
Washer Body Combined Stress
Type Selection Z/M/L
Type Selection Z/M/L
Material Compatibility Check
Material Compatibility Check
Installation Verification
Installation Verification
Flattening Force
Flattening Force
Force-Deflection Equation
Force-Deflection Equation
Force-Deflection Curve Data
Force-Deflection Curve Data
Spring Rate
Spring Rate
Elastic Energy Absorption
Elastic Energy Absorption
Allowable Max Load
Allowable Max Load
OM Point Stress
OM Point Stress
Five-Point Stress
Five-Point Stress
von Mises Stress
von Mises Stress
Static Safety Factor
Static Safety Factor
Fatigue Life Estimate
Fatigue Life Estimate
Contact Pressure Check
Contact Pressure Check
Bolt Preload Force
Bolt Preload Force
Tightening Torque
Tightening Torque
Settlement Estimate
Settlement Estimate
Residual Clamping Force
Residual Clamping Force
Anti-Loosening Assessment
Anti-Loosening Assessment
Temperature Derating
Temperature Derating
E-Modulus vs Temperature
E-Modulus vs Temperature
Bolt-Washer Matching
Bolt-Washer Matching
Parallel Stack
Parallel Stack
Series Stack
Series Stack
Combined Stack
Combined Stack
Material Substitution
Material Substitution
Reusability Assessment
Reusability Assessment
Torque-Preload with Serrated Friction
Torque-Preload with Serrated Friction
Spring Force-Deflection with Tooth Correction
Spring Force-Deflection with Tooth Correction
Equivalent Serration Friction Coefficient
Equivalent Serration Friction Coefficient
Preload Scatter by Tightening Method
Preload Scatter by Tightening Method
Torque Coefficient K Factor
Torque Coefficient K Factor
Tooth Contact Stiffness
Tooth Contact Stiffness
Tooth Penetration Depth (Analytical)
Tooth Penetration Depth (Analytical)
Tooth Penetration FEM (2D Plane Strain)
Tooth Penetration FEM (2D Plane Strain)
Anti-Loosening Torque
Anti-Loosening Torque
Junker Empirical Model
Junker Empirical Model
Junker Dynamics (RK4 Transient)
Junker Dynamics (RK4 Transient)
Loosening Safety Factor
Loosening Safety Factor
Tooth Tip Contact Pressure (Hertz)
Tooth Tip Contact Pressure (Hertz)
Washer Body Combined Stress
Washer Body Combined Stress
Mating Surface Indentation Assessment
Mating Surface Indentation Assessment
Fatigue S-N Curve with Tooth Notch
Fatigue S-N Curve with Tooth Notch
Temperature Derating Factor
Temperature Derating Factor
Tooth Root Stress Concentration FEM Verification
Tooth Root Stress Concentration FEM Verification
Size Selection by Bolt Diameter
Size Selection by Bolt Diameter
Load Series Selection (SS/VS/VSS)
Load Series Selection (SS/VS/VSS)
Material Compatibility Check
Material Compatibility Check
Reusability Assessment
Reusability Assessment
Tooth Geometry Generation
Tooth Geometry Generation
Installation Verification
Installation Verification
Cross-Category Force Comparison
Cross-Category Force Comparison
Force Calculation (Almen-Laszlo)
Force Calculation (Almen-Laszlo)
OM Point Stress
OM Point Stress
Spring Rate
Spring Rate
All 5 Stress Points
All 5 Stress Points
Stored Energy
Stored Energy
Parallel Stack
Parallel Stack
Series Stack
Series Stack
Combined Stack
Combined Stack
Free Length & Stability
Free Length & Stability
Stack Stress with Friction
Stack Stress with Friction
Stack Damping
Stack Damping
Stress Range & Amplitude
Stress Range & Amplitude
Fatigue Life Estimate
Fatigue Life Estimate
Goodman Diagram Check
Goodman Diagram Check
Cumulative Damage (Miner)
Cumulative Damage (Miner)
Inverse Calculation
Inverse Calculation
Shot Peening Correction
Shot Peening Correction
Environmental Correction
Environmental Correction
Relaxation Ratio
Relaxation Ratio
Arrhenius Temperature Dependence
Arrhenius Temperature Dependence
Residual Stress
Residual Stress
Multi-Temperature Relaxation
Multi-Temperature Relaxation
Friction Correction
Friction Correction
Guide Clearance Design
Guide Clearance Design
Centrifugal Force Correction
Centrifugal Force Correction
Natural Frequency
Natural Frequency
Stack Natural Frequency
Stack Natural Frequency
Transmissibility
Transmissibility
Shock Response
Shock Response
Damping Estimate
Damping Estimate
Critical Speed
Critical Speed
Dynamic Forming Prediction
Dynamic Forming Prediction
Parameter Sweep
Parameter Sweep
Pareto Optimization
Pareto Optimization
Sensitivity Analysis
Sensitivity Analysis
Tolerance Analysis
Tolerance Analysis
Material Summary
Material Summary
Stack Configurator
Stack Configurator
Mesh Convergence
Mesh Convergence
Linear Static FEA
Linear Static FEA
Geometric Nonlinear FEA
Geometric Nonlinear FEA
Contact Mechanics
Contact Mechanics
Thermal-Mechanical Coupled
Thermal-Mechanical Coupled
Modal Analysis
Modal Analysis
Explicit Dynamics
Explicit Dynamics
Submodeling
Submodeling
Limit Load
Limit Load
Shakedown Analysis
Shakedown Analysis
Ratcheting Assessment
Ratcheting Assessment
Plastic Accumulation / LCF
Plastic Accumulation / LCF
Fracture Mechanics (LEFM)
Fracture Mechanics (LEFM)
Fatigue Crack Growth
Fatigue Crack Growth
Continuum Damage Mechanics
Continuum Damage Mechanics
FEA Mesh Benchmark
FEA Mesh Benchmark
Material Properties
Material Properties
Stamping Process Parameters
Stamping Process Parameters
Heat Treatment Parameters
Heat Treatment Parameters
Surface Treatment
Surface Treatment
Elastic Modulus E(T)
Elastic Modulus E(T)
Yield Strength σ_y(T)
Yield Strength σ_y(T)
Ultimate Strength σ_u(T)
Ultimate Strength σ_u(T)
CTE α(T)
CTE α(T)
Material Recommendation
Material Recommendation
Creep Rate (Norton-Bailey)
Creep Rate (Norton-Bailey)
Creep Rupture Life (Larson-Miller)
Creep Rupture Life (Larson-Miller)
Creep Strain Accumulation
Creep Strain Accumulation
Creep-Relaxation Coupling
Creep-Relaxation Coupling
Thermal Expansion Constraint Stress
Thermal Expansion Constraint Stress
Through-Thickness Thermal Gradient Stress
Through-Thickness Thermal Gradient Stress
Hot Strength Utilization
Hot Strength Utilization
Thermal Expansion Geometry Change
Thermal Expansion Geometry Change
Bolt Resilience δ_S
Bolt Resilience δ_S
Clamped Member Resilience δ_P
Clamped Member Resilience δ_P
Load Factor Φ
Load Factor Φ
Deformation Diagram Data
Deformation Diagram Data