Design Calculators - Mechanical

This calculator determines the maximum deflection, maximum bending stress, and average shear stress for common beam types (Simply Supported, Cantilever) under standard loading conditions (Point Load, Uniformly Distributed Load).

Key Inputs:

• Unit System: Select Metric or Imperial units.
• Beam Type: Defines support conditions (Simply Supported or Cantilever).
• Load Type: Defines the applied load (Point Load or Uniformly Distributed Load).
• Load Magnitude: The value of the applied load.
• Load Position: For point loads on simply supported beams (distance from left support).
• Beam Length (\(L\)): The total length of the beam.
• Material Type: Select common materials for Young's Modulus (E), or input custom.
• Young's Modulus (\(E\)): Material property representing its stiffness.
• Moment of Inertia (\(I\)): Geometric property of the beam's cross-section, representing its resistance to bending.
• Distance to Neutral Axis (\(c\)): Distance from the neutral axis to the extreme fiber of the cross-section (for bending stress).
• Cross-sectional Area (\(A\)): Total area of the beam's cross-section (for average shear stress).

Calculated Outputs:

• Max Deflection (\(\delta_{max}\)): The maximum vertical displacement of the beam.
• Max Bending Moment (\(M_{max}\)): The maximum internal bending moment in the beam.
• Max Bending Stress (\(\sigma_{b,max}\)): The maximum stress developed due to bending.
• Max Shear Force (\(V_{max}\)): The maximum internal shear force in the beam.
• Average Shear Stress (\(\tau_{avg}\)): The average stress developed due to shear force.