Rod Joint Displacement Calculator

Rod Joint Displacement Calculator

Calculate the lateral displacement (δ) of a rod fixed at both ends due to a temperature change.

* Formula: δ ≈ (2L₀/π)√(αΔT)

Step 1: Enter Parameters

e.g., 1 m

e.g., 1.2×10⁻⁵ 1/K

e.g., 50 K

Free Thermal Expansion: \( \Delta L_{\text{free}} = \alpha\, L_0\, \Delta T \)
For a rod fixed at both ends, the lateral displacement at the midpoint is approximated by: $$ \delta \approx \frac{2L_0}{\pi}\sqrt{\alpha\, \Delta T} $$