T-beam Moment of Inertia | Online Calculator

Cross Section Geometrical Properties Calculators

Second Moment of Area of a T-Beam

In this calculation, a T-beam with cross-sectional dimensions B × H, shelf thicknesses t and wall thickness s is considered. As a result of calculations, the area moment of inertia Ix about centroidal axis X, moment of inertia Iy about centroidal axis Y, and cross-sectional area A are determined.

Also, from the known bending moment Mx in the section, it is possible to calculate the maximum bending stress σ of the respective beam.

Moment of inertia of T-beam
Moment of inertia of T-beam calculation

INITIAL DATA

H - T-beam height;

B - T-beam width;

t - Shelf thickness;

s - Wall thickness;

Mx - Bending moment in cross section in the direction of X axis.

RESULTS DATA

Ix - Area moment of inertia about centroidal axis X;

Iy - Area moment of inertia about centroidal axis Y;

A - Cross section area;

σ - Bending stress in cross section (on edge s).

Height (H)

Width (B)

Shelf thickness (t)

Wall thickness (s)

Moment of inertia (Ix)

Moment of inertia (Iy)

Section area (A)

Bending moment (Mx)

Bending stress (σ)

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BASIC FORMULAS

Ix = (B/3)*H3 - ((H-t)3 / 3)(B - s) - F(H - y)2;

Iy = t*B3/12 + (H-t)*s3 / 12;

A = t*B + s*(H-t);

σ = Mx*y / Ix;

y - distance from X axis to T-beam top.

INITIAL DATA

H - T-beam height;

B - T-beam width;

t - Shelf thickness;

s - Wall thickness;

Mx - Bending moment in cross section in the direction of X axis.

RESULTS DATA

Ix - Area moment of inertia about centroidal axis X;

Iy - Area moment of inertia about centroidal axis Y;

A - Cross section area;

σ - Bending stress in cross section (on edge s).

OTHER CALCULATORS

AREA MOMENTS OF INERTIA
BEAM CALCULATORS
TORSION OF BARS
CIRCULAR FLAT PLATES
BUCKLING
ELASTIC CONTACT
IMPACT LOADS
NATURAL FREQUENCIES
PRESSURED SHELLS
FLUID DYNAMIC
COMPOSITES
SPRINGS
THREAD CONNECTIONS
SHAFT CONNECTIONS
BEARINGS
DRIVES
FATIGUE
HEAT TRANSFER