// multi-utility computation suite · offline · instant · precise
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eng.leaf-spring-semi-elliptic Calculator
Calculates semi-elliptic leaf spring deflection, stress, and equivalent spring rate from material and geometry. Leaf spring stress is highest at the full-elliptic center clip — multi-leaf springs with graduated lengths distribute stress more evenly.
Inputs
N Leaves
Count of items or occurrences.
L Mm
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
B Mm
Horizontal extent perpendicular to the length.
T Mm
Perpendicular measurement through the material. For insulation: thicker is better. For beams: directly affects bending resistance.
E Gpa
Material stiffness (GPa). Stress divided by strain in the elastic range. Steel: 200 GPa. Aluminium: 70 GPa. Rubber: 0.01–0.1 GPa.
Results
spring rate k (N/m)
The value at the specified point or condition.
spring rate (kN/mm)
The value at the specified point or condition.
max bending stress at 100mm deflection (MPa)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
equivalent I (n leaves, m⁴)
Sample size or count used in the calculation.
k = 3EI/(2L³)
Reference formula or conversion factor shown for context.