Engineering Equations,Formulas
Mechanical Engineering Toolkit is a professional engineering calculator for students, researchers, and practicing engineers. Choose a formula, enter your variables, and get instant results — with calculation steps, formulas, diagrams, and unit conversions shown along the way. Switch between SI and Imperial units anytime, save favorites, and find the right tool fast with recommendations by major.
Categories and tools:
Mechanics of Material
• Moments of inertia of plane areas
• Force-displacement relation of a bar
• Torsion formula and angle of twist
• Flexure formula of a beam
• Transverse shear stress
• Deflections and slopes of cantilever and simple beams
• Plane stress transformation and Mohr's circle
• Principal stresses and planes
• Spherical shell and thin-walled pressure vessel stresses
• Buckling load of a column
• Thermal deformation and stress
• Combined loading
• Bolted / riveted joints
• Fatigue safety factor
• Shaft power and torque
Statics
• Centroid of an area
• Resultant of a force system
• Beam reactions
• 2D truss analysis
Machine Design
• Helical compression springs
• Spur gear geometry and stresses
• Shaft fatigue design (DE-Goodman)
• Bearing L10 life
• Belt and chain drives
• Bolt preload / torque-tension
• Fillet weld strength
• Press / shrink-fit interference
Theory of Elasticity
• Constitutive relation of linear elastic material
• Stress/strain of linear elastic material
Composite Material
• Lamina and laminate stress/strain
• Lamina engineering constants
• Laminate plane and 3D properties
• Rule of mixtures
• Failure criteria (Tsai-Hill, Tsai-Wu)
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