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Elliptical And Semi Elliptical Beam Cross Section
Calculate beam cross section properties for elliptical and semi elliptical beams: cross section area, moment of inertia, polar moment of inertia, mass moment of inertia, plastic modulus, section modulus, shape factor, radius of gyration, EI, EA, EAα, unit mass, total mass, unit weight and specific gravity. For hollow ellipse and semi ellipse sections the internal and external sections can be assumed elliptical (the wall thickness is not constant), or the wall thickness can be assumed constant (the mid wall is assumed elliptical but the internal and external surfaces are not elliptical). Refer to the figures for more details. Reference : Roark's Formulas For Stress And Strain, Warren C Young, McGraw Hill Change Module :
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CALCULATOR : Beam Cross Section Properties (Elliptical Beam) [FREE] ±
Calculate elliptical beam cross section properties for solid and hollow beams. For hollow ellipse sections the internal and external sections can be assumed elliptical (the wall thickness is not constant), or the wall thickness can be assumed constant (the mid wall is assumed elliptical but the internal and external surfaces are not elliptical). Refer to the figure for more details. Section properties which can not be calculated are set to zero. 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
- axstype : Cross Section Area Type
- mltype : Unit Mass And Unit Weight Type
- mmtype : Added Mass Type (Submerged Beams Only)
- Cmu : User Defined Added Mass Coefficient
- axistype : Bending Axis Type
- a : External a Axis
- b : External b Axis
- ta : Wall Thickness At a Axis
- tb : Wall Thickness At b Axis
- L : Length
- ρc : Contents Fluid Density
- ρd : Displaced Fluid Density
Tool Output- α : Thermal Expansion Coefficient
- ρb : Beam Density
- Ac : Contents Cross Section Area
- 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
- I : Moment Of Inertia
- Ip : Polar Moment Of Inertia
- J : Mass Moment Of Inertia
- L/r : Slenderness Ratio
- M : Total Beam Mass (Including Contents)
- SF : Shape Factor
- SG : Specific Gravity (Submerged Beams Only)
- Ya : Distance From Outer Fibre To Centroid
- Zp : Plastic Modulus
- Zs : Section Modulus
- ai : Internal a Axis
- bi : Internal b Axis
- m : Mass Per Unit Length (Including Added Mass)
- ma : Added Unit Mass
- mb : Beam Unit Mass
- mc : Contents Fluid Unit Mass
- md : Displaced Fluid Unit Mass
- r : Radius Of Gyration
- w : Unit Weight (Including Contents And Buoyancy)
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CALCULATOR : Beam Cross Section Properties (Semi Elliptical Beam) [FREE] ±
Calculate semi elliptical beam cross section properties for solid and hollow beams. For hollow ellipse sections the internal and external sections are assumed elliptical (the wall thickness is not constant). For hollow sections with constant wall thickness, the mid wall is assumed elliptical (the internal and external surfaces are not elliptical). Refer to the figure for more details. Section properties which can not be calculated are set to zero. 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
- axstype : Cross Section Area Type
- mltype : Unit Mass And Unit Weight Type
- mmtype : Added Mass Type (Submerged Beams Only)
- Cmu : User Defined Added Mass Coefficient
- axistype : Bending Axis Type
- a : External a Axis
- b : External b Axis
- ta : Wall Thickness At a Axis
- tb : Wall Thickness At b Axis
- L : Length
- ρd : Displaced Fluid Density
Tool Output- α : Thermal Expansion Coefficient
- 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
- I : Moment Of Inertia
- Ip : Polar Moment Of Inertia
- J : Mass Moment Of Inertia
- L/r : Slenderness Ratio
- M : Total Beam Mass
- SG : Specific Gravity (Submerged Beams Only)
- Ya : Distance From Outer Fibre To Centroid
- Yb : Distance From Outer Fibre To Centroid
- Za : Section Modulus
- Zb : Section Modulus
- ai : Internal a Axis
- bi : Internal b Axis
- m : Mass Per Unit Length (Including 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)
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