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Welcome to StressTransform 2D, your comprehensive tool for solving and visualizing 2D stress transformations. Follow these steps to make the most of this powerful app:
Input Stress Values
- Enter the normal stresses (\(\sigma_x\), \(\sigma_y\)) and the shear stress (\(\tau_{xy}\)) at the point of interest.
- Use the provided input fields to manually enter each value, or use the range input for the rotation angle (\(\theta\)) to control the transformation.
\(\sigma_x\), \(\sigma_y\) & \(\tau_{xy}\) : stresses on xy corrdinate system
\(\theta\) : the rotation angle of \(x^I\) in CCW direction measured from x axis
Real-Time Angle Adjustment
- The angle (\(\theta\)) can be adjusted using either the input box or the range slider.
- Any changes made will be automatically reflected in the calculated stresses, element views, and Mohr's Circle visualization, giving you immediate feedback on how stress transformation occurs.
View the Results
- After entering the input values, the app will calculate the normal and shear stresses on the rotated plane.
- In addition, it will display principal stresses, principal directions, maximum/minimum shear stresses, and their respective orientations.
\(\sigma_{x^I}\), \(\sigma_{y^I}\) & \(\tau_{x^Iy^I}\) : stresses on x'y' coordinate system
\(\sigma_{1}\) & \(\sigma_{2}\) : principal normal stresses
\(\theta_{P_1}\) & \(\theta_{P_2}\) : principal directions
\(\tau_{max}\) & \(\tau_{min}\) : maximum and minimum shear stresses
\(\theta_{P_1}\) & \(\theta_{P_2}\) : directions for maximum and minimum shear stresses
Visualize Stress Transformation
- The app provides visual representations of the original element, the rotated element, principal directions, and maximum shear stress configuration.
- A Mohr's Circle diagram is generated to give a comprehensive graphical overview of the stress states and transformations at the point.
Repeat with New Values
- Change the input values or angle as needed, and watch the results update in real time to explore different stress scenarios.
