In this calculation, an I-beam with cross-sectional dimensions B × H, shelf thickness 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.
INITIAL DATA
H - I-beam height;
B - I-beam width;
t - Shelf thickness;
See Also
Featured Instructional VacanciesI-Beam Shape Choices: I, S, W, M or H? – Mechanical Elements TipsWauquiez WAUQUIEZ 43 PILOT SALOON for sales - 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 side B).
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)
BASIC FORMULAS
Ix = [B*H3 - (B - s)*(H - 2t)3] / 12;
Iy = [2t*B3 + (H - 2t)*s3] / 12;
A = 2B*t + (H - 2t)*s;
σ = Mx*H / 2Ix.
INITIAL DATA
H - I-beam height;
B - I-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 - Section area;
σ - Bending stress in cross section (on side B).
OTHER CALCULATORS
AREA MOMENTS OF INERTIA
- Second moment of area of a triangle
- Second moment of area of a ring
- Second moment of area of a rectangle
- Second moment of area of an I-beam
- Second moment of area of an L-beam
- Second moment of area of a C-beam
- Second moment of area of a T-Beam
- Moment of inertia of a rhombus
- Second moment of area of a hexagon
- Second moment of area about arbitrary axis
- Second moment of area of a two-rods beam
- Second moment of area of a three-rods beam
BEAM CALCULATORS
- Cantilever beam under concentrated load
- Beam with one end fixed and the other guided under concentrated load
- Beam with one end fixed and the other simply supported under concentrated load
- Beam with both ends fixed under concentrated load
- Beam with both ends simply supported under concentrated load
- Beam with one end guided and the other simply supported under concentrated load
- Cantilever beam under distributed load
- Beam with one end fixed and the other guided under distributed load
- Beam with one end fixed and the other simply supported under distributed load
- Beam with both ends fixed under distributed load
- Beam with both ends simply supported under distributed load
- Beam with one end guided and the other simply supported under distributed load
TORSION OF BARS
- Bar of circular cross-section
- Bar of circular cross-section with a hole
- Bar of rectangular cross-section
- Thin-walled bar of rectangular cross-section
- Bar of triangular cross-section
- L-beam
- C-beam
- I-beam
- Thin-walled circular open tube
- Bar of an arbitrary cross section
- Shaft with keyway
- Split hollow shaft
CIRCULAR FLAT PLATES
- Circular plate with the outer edge simply supported
- Circular plate with outer edge simply supported and inner edge guided
- Circular plate with simply supported edges
- Circular plate with outer edge simply supported and inner edge fixed
- Circular plate with outer edge fixed
- Circular plate with outer edge fixed and inner edge guided
- Circular plate with outer edge fixed and inner edge simply supported
- Circular plate with fixed edges
- Circular plate with outer edge guided and inner edge simply supported
- Circular plate with outer edge guided and inner edge fixed
- Circular plate with inner edge simply supported
- Circular plate with inner edge fixed
BUCKLING
- Compressed bars
- Curved beam
- Rectangular plate
- Polygonal plate
- Circular plate
- Circular plate with a hole
- Tube
- Curved shell
- Sphere
- Spherical segment
- Conical shell
- Cantilever beam
ELASTIC CONTACT
- Sphere and flat plate contact
- Two spheres contact
- Sphere and spherical socket contact
- Sphere and cylindrical socket contact
- Cylinder and flat plate contact
- Two parallel cylinders contact
- Cylinder and socket contact
- Two perpendicular cylinders contact
- General case of the two bodies in contact
- Knife-edge and the plate edge contact
- Rigid block and plate edge contact
- Cylinder end and flat plate contact
IMPACT LOADS
- Impact on a straight bar
- Impact on a conical bar
- Impact on a bar with combined cross section
- Impact of a bar on a rigid surface
- Impact on a beam with fixed ends
- Impact on a beam with simply supported ends
- Impact on a beam with fixed and hinge end
- Impact on a cantilever beam
- Visco-elastic model of Kelvin-Voigt on impact
NATURAL FREQUENCIES
- Cantilever beam
- Beam with simply supported ends
- Beam with fixed ends
- Beam with one end simply supported and the other end fixed
- Cantilever beam with concentrated mass
- Beam with simply supported ends and concentrated mass
- Beam with fixed ends and concentrated mass
- Simply supported beam with set of concentrated masses
- Circular plate with fixed edge
- Circular plate with simply spported edge
- Rectangular plate with fixed edges
- Rectangular plate with simply supported edges
PRESSURED SHELLS
- Pipe strength calculation
- Thin axisymmetric shells under internal pressure
- Thick-walled pipes under pressure and axial load
- Double-walled pipes
- Filled conical or cylindrical shell
- Toroidal shell under pressure
- Corrugated tube under axial load
- Tube under external concentrated load
- Tube under linearly distributed uniform load
FLUID DYNAMIC
- Uncompressible fluid flow in pipeline
- Gas flow in pipeline
- Cavitation
- Water hammer in pipeline
- Flow velocity profile in pipeline
- Fluid flow in an open channel
- Fluid flow through the nozzles
- Fluid flow under surface level
- Fluid outflow from a vessel
- Calculation of flow rate of weir spillway
- Jet pressure on surface
- Jet height calculation
COMPOSITES
- Modulus of elasticity of long fibre composites
- Modulus of elasticity of short fibre composites
- Modulus of elasticity of particle-reinforced composites
SPRINGS
- Cylindrical helical spring
- Cylindrical helical spring of rectangular cross section
- Conical helical spring
- Belleville spring
- Spiral spring
- Helical torsion spring
- Torsion bar spring
- Cylindrical torsion spring with elastic element
- Cylindrical shear spring with elastic element
- Two-block shear spring
THREAD CONNECTIONS
- Metric thread tightening torque
- Inch thread tightening torque
- Flange connection tightening force
- Bolted connection tightening force
- Bracket bolts under bending load
- Bracket bolts under torsion load
- Bolt tightening of a shaft mounted lever
- Bolt tightening of a bar mounted clamp
- One-bolt clamp tightening
- Two-bolt clamp tightening
- Tightening force of a two-bolt clamp under axial load
- Taper connection tightening force
SHAFT CONNECTIONS
- Parallel key connection
- Splined connection
- Flange connection
- Pin connection
- Interference fit
- Prismatic connection
- Shaft-to-flat connection
BEARINGS
- Angular contact ball bearings
- Thrust ball bearings
- Angular contact roller bearings
- Thrust roller bearings
- Double angular contact ball bearings
- Double thrust ball bearings
- Double angular contact roller bearings
- Double thrust roller bearings
- Journal plain bearings
- Thrust plain bearings
DRIVES
- Flat belt drive
- V-belt drive
- Toothed belt drive
- Chain drive
FATIGUE
- High-cycle fatigue
- Low-cycle fatigue
- Fatigue calculation based on test or operation results
- Fatigue calculation of a welded structures
- Low-cycle fatigue of vessels
HEAT TRANSFER
- Natural convection for horizontal surface
- Natural convection for vertical surface
- Convection film coefficient of a flat wall
- Convection film coefficient of internal pipe surface
- Convection film coefficient of external pipe surface
- Convection film coefficient of tube bundle
- Heat transfer through flat wall
- Heat transfer through tube wall
