Pipeng Toolbox : Trapezoid Beam Section Calculators Blank User
Short Cuts
GO
Main ±
Beams ±
References ±
Fluid Flow ±
Fluid Properties ±
Maths ±
Materials ±
Pipelines ±
Soils ±
Subsea ±
Demo

Trapezoid Beam Cross Section

Calculate beam cross section properties for solid trapezoid beams: cross section area, moment of inertia, polar moment of inertia, mass moment of inertia, section modulus, radius of gyration, EI, EA, EAα, unit mass, total mass, unit weight and specific gravity.

Axis L is parallel to the base. Axis M is perpendicular to the base. Axis 1 and 2 are the principal axes. The geometry should be arranged so that the offset is positive. Refer to the figures for more details.

Reference : Roark's Formulas For Stress And Strain, Warren C Young, McGraw Hill

Change Module :

[FREE] tools are free in basic mode with no login (no plots, tables, goal seek etc). Login or Open a free account to use the tools in plus mode (with plots, tables, goal seek etc).
[PLUS] tools are free in basic CHECK mode with Login or Open a free account (CHECK values no plots, tables, goal seek etc). Buy a Subscription to use the tools in plus mode (with plots, tables, goal seek etc).
Try plus mode using the Plus Mode Demo tools with no login.   Help Using The Pipeng Toolbox (opens in the popup workbook)

Links : ±
CALCULATOR : Beam Cross Section Properties (Trapezoid Beam) [FREE]   ±

Calculate trapezoidal beam cross section properties.

Axis L is parallel to the base. Axis M is perpendicular to the base. Axis 1 and 2 are the pricipal axes. Section properties can also be calculated for an axis parallel to either side, perpendicular to either side, or at a user defined angle relative to the L axis. The trapezoid geometry should be arranged so that the offset is positive. Refer to the figure for more details.

Tool Input

  • modptype : Material Type
    • αu : User Defined Thermal Expansion Coefficient
    • Eu : User Defined Elastic Modulus
    • Gu : User Defined Shear Modulus
    • ρpu : User Defined Density
  • mltype : Unit Mass And Unit Weight Type
  • mmtype : Added Mass Type (Submerged Beams Only)
    • Cmu : User Defined Added Mass Coefficient
  • axistype : Bending Axis Type
    • θu : User Defined Axis Angle Relative To L Axis (Positive Anti Clockwise)
  • d : Beam Height
  • b : Beam Bottom Width
  • c : Beam Top Width
  • a : Beam Offset
  • L : Length
  • ρd : Displaced Fluid Density

Tool Output

  • α : Thermal Expansion Coefficient
  • θ : Axis Angle Relative To L Axis (Positive Anti Clockwise)
  • ρb : Beam Density
  • Ad : Displaced Cross Section Area
  • Ax : Beam Cross Section Area
  • Cm : Added Mass Coefficient
  • E : Elastic Modulus
  • EA : E x A
  • EAα : E x A x alpha
  • EI : E x I
  • G : Shear Modulus
  • H : Product Of Inertia
  • I : Moment Of Inertia
  • Ip : Polar Moment Of Inertia
  • J : Mass Moment Of Inertia
  • L/r : Slenderness Ratio
  • M : Total Beam Mass (Without Contents)
  • SG : Specific Gravity (Submerged Beams Only)
  • Ya : Distance From Outer Fibre To Centroid a
  • Yb : Distance From Outer Fibre To Centroid b
  • Za : Section Modulus a
  • Zb : Section Modulus b
  • m : Mass Per Unit Length (Including Contents And Added Mass)
  • ma : Added Unit Mass
  • mb : Beam Unit Mass
  • md : Displaced Fluid Unit Mass
  • r : Radius Of Gyration
  • w : Unit Weight (Including Contents And Buoyancy)