L-beam Moment of Inertia | Online Calculator

Cross Section Geometrical Properties Calculators







Second Moment of Area of an L-beam

In this calculation, an L-beam with cross-sectional dimensions B × H and wall thickness d 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 L-beam
Moment of inertia of L-beam

INITIAL DATA

H - L-beam height;


B - L-beam width.


d - 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 - Section area;


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

Height (H)

Width (B)

Thickness (d)

Moment of inertia (Ix)

Moment of inertia (Iy)

Section area (A)


Bending moment (Mx)

Bending stress (σ)

BASIC FORMULAS

Ix = [d*(H - Y)3 + B*Y3 - (B - d)*(Y - d)3] / 3;

Iy = [d*(B - X)3 + H*X3 - (H - d)*(X - d)3] / 3,

X and Y - distances from outer side of the L-beam to centroid axes y and x;

A = (H + B - d)*d;

σ = Mx*(H-Y) / Ix.

INITIAL DATA

H - L-beam height;


B - L-beam width.


d - 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 - Section area;


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

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