Plastic Section Modulus Calculation Example

Calculation example simple harmonic vibration part1 calculation example simple harmonic vibration part 2 calculation example friction calculation example section modulus s calculation example buckling of column ec3.
Plastic section modulus calculation example. Example 2 calculating the elastic section modulus sx plastic section modulus zx and shape factor f for a built up t shape 24 44 example 3 analyzing a beam supporting a concrete slab and subjected to dead and live loads per lrfd and asd 11 42. The plastic section modulus for a rectangular cross section can be determined by multiplying each section half e g the shaded area shown in figure 1 50 by the distance from its centroid to the centroid for the whole section. In that case the whole section is divided in two parts one in tension and one in compression each under uniform stress field.
Online rectangle property calculator. Assume 50 ksi steel. Z x b h 2 h 4 b h 2 h 4 bh 2 4.
Z elastic section modulus in 3 or mm 3. Other geometric properties used in design include area for tension radius of gyration for compression and moment of inertia for stiffness. What is the design moment for the beam cross section.
Plastic section modulus and elastic section modulus are related by a shape factor which can be denoted by k used for an indication of. F1 w f2 tw 0 5 in. Strength of materials beam deflection and stress.
The plastic section modulus is similar to the elastic one but defined with the assumption of full plastic yielding of the cross section due to flexural bending. Using the structural engineering calculator located at the top of the page simply click on the the show hide calculator button the following properties can be calculated. The plastic section modulus is used to calculate the plastic moment m p or full capacity of a cross section.
Section modulus equations and calculators common shapes. Example 2 1 determine the elastic section modulus s plastic section modulus z yield moment my and the plastic moment mp of the cross section shown below. Section modulus is a geometric property for a given cross section used in the design of beams or flexural members.