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Deflection of laminated leaf springs

Question paydar

Hi,
I’m wondering if there is a formula that allows you to put the number of leaves, their length, and calculates the deflection of a leaf spring.

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Answer Tokai Spring

Dear paydar,

Please use the figures in the attachment for your reference.
With the assumption that all the plates of the springs have the same mechanical properties as shown in Fig. 2.2b, the formula to calculate the deflection of the laminated leaf springs can be derived from the calculation formula to calculate the triangle plate in Fig. 2.2c. This may be the simplest way.
The basic formulas for the calculation are equations (1) and (2). However, to calculate the deflection more accurately according to the actual shapes of leaf springs, the modified equations are (1′) and (2′).

The meanings of symbols in equations are as follows:
δ: Deflection; σ: Stress; 2P: Load; 2l: Span
b0: Plate width of the triangular plate; n: Total number of plates; E: Young’s modulus; b: Plate width; h (hi): Plate thickness; ni: Number of plates with thickness hi; K: Correction coefficient of plate length (refer to formula (3) for your reference)

NOTE: Please click the attachment to see the whole content. Thank you!

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