beamDimensions function

beamDimensions

Calculates input dimensions needed for beam finite element.

beamDimensions(Y, G, Nu, beamP, beamT, thick,  fx, fy)

Arguments

• Y: Elastic modulus value for material (Pa).
• G: Shear modulus value for material (Pa). If using Euler-Bernoulli model, G = 0.
• Nu: Poisson's ratio value for material.
• beamP: Matrix (2 x n) of beam coordinates.
• beamT: Matrix (2 x n) containing the number of the coordinate point as shown in beamP that connect to form a given beam (Discretization table).
• thick: Thickness of the beam
• fx: Load value (newtons) in the x direction.
• fy: Load value (newtons) in the y direction.

Returns

Calculates values needed for both Timoshenko-Ehrenfest and Euler-Bernoulli beam theories. - k: Timoshenko-Ehrenfest correction

• Length: Beam length

• Angle: Beam angle within the plane

• MomentofInertia: Moment of Inertia for each beam

• Displacement: Displacement under Timoshenko-Ehernfest beam theory

• RotationAngle: Angle of rotation

• StiffnessAngle: Stiffness angle

Examples

data(beamGeo)

DOF = 4
n = NROW(beamGeo$beamT)
thick = matrix(c(0.039149, 0.03, 0.0246625), ncol = 1, nrow = n) #height(thickness) of beam

beamDime = beamDimensions(beamGeo$Y, beamGeo$G, beamGeo$Nu, beamGeo$beamP, beamGeo$beamT,
                          beamGeo$thick, beamGeo$fx, beamGeo$fy)