The displaced axis rotation values are used in linear performance analysis to calculate the strain and plastic rotation demands of columns, beams and shear elements.
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ICONS
I = Moment of inertia
L p = Plastic hinge length
l c = Element net span
R a = Earthquake Load Reduction Coefficient
UX = The displacement of thejointpoint in the (X) direction in thethree-dimensional analysis model
UY = Thejointpoint in thethree-dimensional analysis model translation
UZ = Thetranslation ofthe node in the (Z) direction in thethree-dimensional analysis model
RX = The rotation of the joint point around the (X) axis in the three-dimensional analysis model
RY =Rotation of the
joint point about the (Y) axis in the three dimensional analysis model RZ = The rotation of the joint point around the (Z) axis in the three dimensional analysis model
Δ = The translation between the element nodes
ϕ y = Flow curvature
ϕ t = Total curvature
θ p = Plastic rotation lead
θ y = yield rotation
θ t = heat flow at the end of rotation
θ yj = return flow end j
θ k =Displaced axis rotation
θ ki = displaced axis rotation at end i
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Since the building carrier system model is created in three dimensions, the relative ö value at the element nodes is also calculated in the three-dimensional system. The following picture shows the displacement results at any element node of a three-dimensional analysis system. In the analysis results , nodal displacement values consisting of vertical loads and earthquake loads ( loading cases ) taken as R a = 1 are used. These results are three translational values, UX, UY and UZ, and three rotation values, namely RX, RY and RZ. While calculating the value of, the vector displacements of UX and UY values of all column elements are taken into account. Similarly, the rotation value of a joint is ki When calculating, the vectoral rotations of the RX and RY rotation values are taken into account.
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