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Symbols

m_i   = total mass of the i'^th storey
m_iθ   = mass moment of inertia of the i'^th storey
m_ixn ^(X)  = (X) for the earthquake direction, the i'th storey modal effective mass of the nth natural vibration mode of the building in the x-axis direction
m_iyn ^(X)  = (X) for the earthquake direction i'th storey modal effective mass
m_iθn ^(X)  = (X) of the building's nth natural vibration around the z-axis for the earthquake direction i'th storey modal effective mass moment of inertia
m_j ^(S) = Finite Element Analysis node j to effect individual masses
m_txn ^(X)   = (X) earthquake direction for building the x-axis direction of the nth vibration mode of base shear modal effective mass
m_tyne ^(Y)  = (Y) earthquakes base shear in the building along the y axis for the direction of modal effective mass
r_max ^(X)  = (X) earthquake direction for any behavior variables (displacements and relative storey drift, strain component) corresponding to the coupled typically  to maximum modal behavior of size
r_n ^(X)  = Typical unit modal behavior magnitude corresponding to any action magnitude (displacement, relative floor displacement, internal force component) for the earthquake direction in the nth natural vibration mode (X),
r_n,max ^(X)  = nth natural vibration mode ( X) Typical largest modal behavior magnitude corresponding to any action magnitude (displacement, relative floor displacement, internal force component) for the earthquake direction
S_aR (T_n )  = reduced design spectral acceleration for the nth vibration mode
T_n  = nth mode natural vibration period
β_mn  = ratio of mth and nth natural vibration periods
Φ_{i (X) n}  = nth natural vibration mode shape amplitude at i'th storey (X) earthquake direction
Φ_ixn  =nth natural vibration mode shape amplitude ati'th storey in x-axis direction
Φ_iyn  = y-axis at i'th storey nth natural vibration mode shape amplitude in the direction
θ_iθn  = nth natural vibration mode shape amplitude as rotation around the z-axis at the ith storey
Γ_x ^(X)  = (X) for the earthquake direction, modal contribution of the nth vibration mode multiplier
ξ_n  = modal damping ratio of the nth vibration mode
ω_n  = Natural vibration angular frequency of the nth vibration mode
ρ_mn  = Cross correlation coefficient of the mth and nth natural vibration modes in the Complete Quadratic Combination Rule

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