Formula For Section Modulus

Calculating the section modulus.

Formula for section modulus. Z max and z min. Thus the keel plate may comprise multiple strakes and each strake contributes its own to the final section modulus of the entire section. Other geometric properties used in design include area for tension and shear radius of gyration for compression and moment of inertia and polar moment of inertia for stiffness.

Formulas 1 section properties area section modulus moment of inertia radius of gyration. Three formulas that are always helpful in mechanics problems are the properties of area section modulus and moment of inertia for the cross section of a circular cylinder see figure 2 1. Section modulus is a geometric property for a given cross section used in the design of beams or flexural members.

These formulas are as follows with the approximate formulations on the left and the exact expressions on the right side. Section modulus can be expressed as. Section modulus is a geometric property for a given cross section used in the design of beams or flexural members.

To calculate the section modulus the following formula applies. For asymmetrical sections two values are found. Other geometric properties used in design include area for tension radius of gyration for compression and moment of inertia for stiffness.

Transverse metal area can be expressed as. Any relationship between these properties is highly dependent on the shape in question. Where i moment of inertia y distance from centroid to top or bottom edge of the rectangle.

For symmetrical sections the value of z is the same above or below the centroid. Section modulus equations and calculators common shapes. The section modulus of the entire midship section is an aggregate of the section moduli of all the longitudinal strength members.