Thermal Stress in Tapered Bar Calculator

Calculate Thermal Stress











Formula

The formula to calculate the Thermal Stress in Tapered Bar is:

\[ \sigma_T = \frac{4 \cdot W_{\text{load}} \cdot L}{\pi \cdot D_1 \cdot D_2 \cdot \sigma_b} \]

Where:

Definition

Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \sigma_T = \frac{4 \cdot 53 \cdot 0.195}{\pi \cdot 0.17289 \cdot 0.05034 \cdot 65} \]

Evaluating:

\[ \sigma_T = 23.2607737697603 \text{ Pa} \]

The Thermal Stress is 23.2607737697603 Pa.

Conversion Chart

Load (N) Length of Weld (m) Diameter of Bigger End (m) Diameter of Smaller End (m) Bending Stress (Pa) Thermal Stress (Pa)
50 0.195 0.17289 0.05034 65 21.944126197887
51 0.195 0.17289 0.05034 65 22.383008721845
52 0.195 0.17289 0.05034 65 22.821891245803
53 0.195 0.17289 0.05034 65 23.260773769760
54 0.195 0.17289 0.05034 65 23.699656293718
55 0.195 0.17289 0.05034 65 24.138538817676