Rotational Stiffness Calculator
Calculate rotational stiffness from applied moment and angle of rotation
Calculate Rotational Stiffness
Torque or moment applied to cause rotation
Angle through which the object rotates
Rotational Stiffness Results
Formula used: k = M / θ
Input values: M = 0.000 N⋅m, θ = 0.000000 rad
Interpretation: Enter values to see interpretation
Stiffness Analysis
Example Calculation
Structural Beam Example
Applied Moment: 16 N⋅m
Rotation Angle: 0.7 radians
Material: Steel structural beam
Calculation
k = M / θ
k = 16 N⋅m / 0.7 rad
k = 22.857 N⋅m/rad
Common Unit Conversions
Applications
Foundation design for structures subjected to rocking motion
Structural element rigidity in building construction
Aircraft wing design and vibration analysis
Offshore wind turbine platform stability
Mechanical component design and analysis
Understanding Rotational Stiffness
What is Rotational Stiffness?
Rotational stiffness is a property of a body that defines its resistance to rotational deformation under applied moments or torques. It represents the amount of moment required to produce a unit angle of rotation.
Physical Significance
- •Higher stiffness means greater resistance to rotation
- •Related to material properties and geometry
- •Critical for structural stability analysis
- •Important in vibration and dynamic analysis
Formula and Units
k = M / θ
- k: Rotational stiffness (N⋅m/rad)
- M: Applied moment or torque (N⋅m)
- θ: Angle of rotation (radians)
Units: The standard unit is N⋅m/rad (Newton-meters per radian). Other common units include kN⋅m/rad and N⋅m/degree.
Relationship to Linear Stiffness: Just as linear stiffness relates force to displacement (k = F/δ), rotational stiffness relates moment to angular displacement.