Statics -Moment of Inertia for Plane Shapes-1 of 2

🎓 Course Title: Statics - Moment of Inertia for Plane Shapes - 1 of 2

Course Headline:

Evaluate Moment of Inertia.Ix, Iy, Ixy For Plane Areas of Various Shapes in Details.

📚 Course Description: Get ready to dive into the fascinating world of Statics with our comprehensive online course! This set of lectures is meticulously designed to cover essential topics within the subject that are critical for passing the Fundamentals of Engineering Examination. With a total of 42 units, each packed with detailed proofs and supported by downloadable PDF data, this course will guide you through the complete process of understanding and evaluating the moment of inertia for various plane shapes.

Course Breakdown:

Units 1-2: Introduction to Moment of Inertia

• A: Introduction to the concept of Moment of Inertia, differentiating between the 2nd moment of area and the mass moment of inertia.

Units 3-6: Rectangular Section Analysis

• Moment of Inertia for Rectangular sections (about x & y axes) and Product of Inertia, with an emphasis on estimations using two different methods.

Units 7-8: Solved Examples

• Detailed solutions for determining the moment of inertia for a rectangle section and an L section.

Units 9-17: Right-Angled Triangle Analysis

• Estimation of Moment of Inertia for Right-Angled Triangles (about X & Y axes), Product of Inertia, Polar Moment of Inertia, and radius of gyrations, with two estimation methods.

Units 18-23: Triangle Analysis

• Estimation of Moment of Inertia for triangles (about X & Y axes), Product of Inertia, Polar Moment of Inertia, and radius of gyrations for different triangle shapes like isosceles triangles.

Units 24-25: Pure Bending Concepts

• Understanding pure bending, the stress equation due to a bending moment, and why evaluating the Product of Inertia is crucial.

Unit 26: Maximum & Minimum Moments of Inertia

• Derivation of expressions for maximum and minimum moments of inertia for any section.

Units 27-32: Mohr Circle Applications

• Comprehensive coverage of the Mohr circle, moment of inertia comparisons between x and y axes, Product of Inertia signs and values, and how to determine these using the Mohr circle.

Units 33-34: Moment of Inertia Evaluation

• Step-by-step examples demonstrating how to evaluate I max, I min, through both general equations and the Mohr circle for scenarios where Ix > Iy and the Product of Inertia is positive.

Units 35-36: Moment of Inertia Evaluation

• Similar to the previous section but for when Ix < Iy and the Product of Inertia is positive, with an emphasis on evaluating I max, I min.

Units 37-38: Moment of Inertia Evaluation

• For cases where Ix < Iy and the Product of Inertia is negative, these units will guide you through the evaluation process for I max, I min using both general equations and the Mohr circle.

Units 39-44: Advanced Analysis & Estimation

• Comprehensive examples for various shapes, estimating Ix, Iy, Ixy in different orientations, and applying all the knowledge gained from previous units to solve complex problems.

Quizzes:

To reinforce your learning, quizzes are strategically placed throughout the course to ensure you're fully grasping each concept before moving on to the next.

Enroll now and embark on a journey through the principles of Statics with a focus on the Moment of Inertia for Plane Shapes. This course is your stepping stone to mastering the subject and excelling in the FE exam! 🚀📐

Note: This course is part of a two-part series. Success in this first half will set you up for mastery in the second half, which delves deeper into more complex shapes and concepts.