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The deflection of springs in series refers to the total displacement experienced when multiple springs are connected end-to-end and subjected to a load. The total deflection is the sum of individual deflections of each spring in the series.
The calculator uses the formula:
Where:
Explanation: For springs connected in series, the total deflection is simply the arithmetic sum of the individual deflections of each spring under the applied load.
Details: Accurate deflection calculation is crucial for designing spring systems, ensuring proper functionality, and determining the overall stiffness and performance characteristics of mechanical systems with series spring arrangements.
Tips: Enter the deflection values for each spring in millimeters. Both values must be non-negative numbers representing the individual spring deflections.
Q1: Why does the total deflection equal the sum of individual deflections?
A: In series connection, the same force acts through each spring, and the total displacement is the cumulative effect of each spring's deformation.
Q2: How does this differ from springs in parallel?
A: For springs in parallel, the total deflection equals the deflection of each individual spring (they deflect equally), while the total force is the sum of forces in each spring.
Q3: What are typical applications of springs in series?
A: Series spring arrangements are used in vibration isolation systems, vehicle suspensions, and mechanical systems where specific deflection characteristics are required.
Q4: Does this formula work for more than two springs?
A: Yes, for any number of springs in series, the total deflection is the sum of all individual spring deflections: δ = δ₁ + δ₂ + δ₃ + ... + δₙ
Q5: How does spring stiffness affect the total deflection?
A: Softer springs (lower stiffness) will contribute more to the total deflection, while stiffer springs (higher stiffness) will contribute less to the overall deflection in a series arrangement.