GEOMETRICAL PROPERTIES OF SECTIONS
3.1 CENTROID
GEOMETRICAL PROPERTIES – DEFINITIONS AND EXAMPLES OF
SYMMETRICAL, ANTI SYMMETRICAL, ASYMMETRICAL SHAPES –
DEFINITIONS OF CENTRE OF GRAVITY AND CENTROID – CENTROID OF
SYMMETRICAL SHAPE (SOLID/HOLLOW SQUARE, RECTANGULAR,
CIRCULAR, I SECTIONS) – CENTROID OF ASYMMETRICAL SHAPES
(TRIANGULAR, SEMI-CIRCULAR, QUADRANT, TRAPEZOIDAL, PARABOLIC
SECTIONS) – CENTROID OF ANTI SYMMETRIC SHAPES (S , Z
SECTIONS) – BUILT UP STRUCTURAL SECTIONS – PROBLEMS
3.2 MOMENT OF INERTIA
DEFINITIONS OF: INERTIA, MOMENT OF INERTIA, POLAR MOMENT OF
INERTIA, RADIUS OF GYRATION, SECTION MODULUS, POLAR MODULUS
– PARALLEL AND PERPENDICULAR AXES THEOREMS – DERIVATION OF
EXPRESSIONS FOR M.I / POLAR M I, SECTION MODULUS AND RADIUS
OF GYRATION OF REGULAR GEOMETRICAL PLANE SECTIONS
(RECTANGLE, CIRCLE, TRIANGLE) – M.I ABOUT CENTROIDAL AXIS /
BASE, SECTION MODULUS, RADIUS OF GYRATION OF SYMMETRIC,
ASYMMETRIC, ANTI-SYMMETRIC AND BUILT UP SECTIONS –
NUMERICAL PROBLEMS