Calculate regular polygon beam cross section properties.
The polygon section is assumed to be symmetric along axis 1 and 2 (all sides and wall thickness are equal). The minimum number of sides is 3. A regular polygon with 3 sides is equivalent to an equilateral triangle. A regular polygon with 4 sides is equivalent to a square. For hollow polygons, the wall thickness is assumed to be equal on all sides.
For polygons with an odd number of sides (3, 5, 7 etc), axis 1 and 2 are both corner to flat. For polygons with an even number of sides (4, 6, 8 etc), axis 1 is corner to corner, and axis 2 is flat to flat. The outer radius is the radius of the corners. The inner radius is the radius of the flats. 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
- 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
- latype : Side Length Type
- au : User Defined Side Length
- ROu : User Defined Outer Radius (On Flats)
- RIu : User Defined Inner Radius (On Corners)
- nntype : Regular Polygon Type
- nu : User Defined Number Of Sides
- axistype : Bending Axis Type
- ta : Wall Thickness
- L : Length
- ρc : Contents Fluid Density
- ρd : Displaced Fluid Density
Tool Output
- α : Thermal Expansion Coefficient
- θ : Internal Half Angle
- 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)
- RI : Inner Radius (On Flats)
- RO : Outer Radius (On Corners)
- SG : Specific Gravity (Submerged Beams Only)
- Ya : Distance From Outer Fibre To Centroid
- Yb : Distance From Outer Fibre To Centroid
- Za : Section Modulus (I/Ya)
- Zb : Section Modulus (I/Yb)
- a : Side Length
- h : Length Along Axis
- m : Mass Per Unit Length (Including Contents And Added Mass)
- ma : Added Unit Mass
- mb : Beam Unit Mass
- mc : Contents Fluid Mass
- md : Displaced Fluid Unit Mass
- n : Number Of Sides
- r : Radius Of Gyration
- w : Unit Weight (Including Contents And Buoyancy)