The parallel axis thereom is used to seperate the shape into a number. If the shape is more complex then the moment of inertia can be calculated using the parallel axis thereom. Integrating curvatures over beam length, the deflection, at some point along x-axis, should also be reversely proportional to I. The moment of inertia can be calculated by hand for the most common shapes: Rectangle: (bh3)/12. Therefore, it can be seen from the former equation, that when a certain bending moment M is applied to a beam cross-section, the developed curvature is reversely proportional to the moment of inertia I. Therefore, the moment of inertia I x of the tee section, relative to non-centroidal x1-x1 axis, passing through the top edge, is determined like this: The CivilWeb T Beam Moment of Inertia Calculator provides the designer with all the vital section properties required for the design of T sections. The final area, may be considered as the additive combination of A+B. As a result of calculations, the area moment of inertia I x about centroidal axis X, moment of inertia I y about centroidal axis Y, and cross-sectional area A are determined. Sub-area A consists of the entire web plus the part of the flange just above it, while sub-area B consists of the remaining flange part, having a width equal to b-t w. Moreover, it plays a vital role in structural engineering to guarantee load-bearing capacity and overall stability in beams, columns, and other building components. In this calculation, a T-beam with cross-sectional dimensions B × H, shelf thicknesses t and wall thickness s is considered. There will be little savings in steel too (not a significant amount though).The moment of inertia of a tee section can be found if the total area is divided into two, smaller ones, A, B, as shown in figure below.
Thus usually in earthquake-prone zones using T beams for high-rise buildings is reinforced with mechanical stiffeners in the junction.
The design of a T-beam involves calculating the section dimensions and reinforcement required to resist the maximum moment and shear force that the beam will experience.