Yield rotation value is calculated according to TBDY 15A.3 by using moment-curvature relation for column and beam elements for linear performance analysis . Moment-curvature analysis is done by considering the information level coefficient and the existing material strengths.
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ICONS
E = Concrete modulus of elasticity
I = Moment of inertia
L p = Plastic hinge length
l c = Element net opening
M y = Effective yield moment
M yi = Effective yield momentat end i
M yj = Effective yield moment at end j
Δ = Element nodes translation
ϕ y = Yield curvature
ϕ t = Total curvature
θ p = Plastic rotation demand
θ y = Flow rotation
θ yi = flow rotation at end i
θ yj = flow rotation at end j
θ k = Displaced axis rotation
θ ki = displaced axis rotation at end i
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As can be seen, if the linear calculation method is used to determine the earthquake performance of existing buildings with the Assessment and Design Based on the Shape Change (ŞGDT) approach, the yield rotation is not calculated with the relation θ y = ϕ y L p as in nonlinear calculations. Instead, it is calculated with the relations calculated with Equation (15A.3) .
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