- #1
theBEAST
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Homework Statement
Find the second moment of inertia of a rectangle.
The Attempt at a Solution
Anyone know why my answer is 4 times too big?
Second Moment of Inertia of a Rectangle
- Thread starter theBEAST
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SUMMARY
The second moment of inertia (Ix) of a rectangle about the centroidal axis is crucial for accurate structural analysis. The discussion highlights a common mistake where the limits of integration are incorrectly set for the x-axis, leading to an answer that is four times too large. To obtain the correct value, one must adjust the limits of integration to reflect the centroidal axis rather than the x-axis. This adjustment is essential for precise calculations in engineering applications.
PREREQUISITES- Understanding of the second moment of inertia
- Familiarity with integration techniques in calculus
- Knowledge of centroidal axes in geometry
- Basic principles of structural engineering
- Review the calculation methods for the second moment of inertia of various shapes
- Study the application of integration limits in structural analysis
- Learn about centroidal axes and their significance in engineering
- Explore software tools for calculating moments of inertia, such as MATLAB or AutoCAD
Students in engineering or physics, structural engineers, and anyone involved in mechanical design or analysis of rectangular structures.
Find the second moment of inertia of a rectangle.
Anyone know why my answer is 4 times too big?
- #2
rock.freak667
Homework Helper
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Your limits of integration imply that your axis of references is the x-axis (which is correct by the way).
The "correct" answer you want is to get Ix about the centroidal axis. In which case your limits would be different.
The "correct" answer you want is to get Ix about the centroidal axis. In which case your limits would be different.