Geometric properties of common shapes

Output:

Definitions
• b = width of shape
• d = depth of shape
• A = Area
• c = vertical distance from uppermost point to centroid
• I = moment of inertia
• S = section modulus
• r = radius of gyration
• Z = plastic modulus
Equations
User Notes:
User notesNeutral Axis (NA) The line through a section of the member subjected to bending, on which the bending stress is zero (ie there is neither tension nor compression). Moment of Intertia (I): The sum of the products obtained by multiplying each finite area of the section by the sqaure of perpendicular distance from it's centroid to the neutral axis. Elastic Section Modulus (S): The moment of inertia (I) divided by the perpendular distance from neutral axis to the furthest point on the section (c). S = I/c. Radius of Gyration (r): The perpendicular distance from the neutral axis to the center of gyration (the location where the entire area could be considered as an infitesimal point and result in the same moment of intertia). r = sqrt(I/A). Plastic Section Modulus (Z): The modulus of resistance to bending of a completely yielded cross section. Mp = Z*fy.