## Notation

A = bed area of the wall based on a solid cross-section, in^{2}

AAC = autoclaved aerated concrete

A_{s} = area of reinforcing steel in a reinforced element or cross-sectional area of a tie-down, in^{2}

A_{vf} = area of shear reinforcement in a diaphragm bond beam, in^{2}

b = width or thickness of element considered, in

d = distance from extreme flexural compressive fiber to the centroid of the reinforcing steel in a reinforced element, in D = dead load of AAC wall due to self-weight, lb

E_{c} = modulus of elasticity of normal weight concrete, psi

E_{AAC} = modulus of elasticity of AAC, psi

E_{s} = modulus of elasticity of reinforcing steel, psi

e = eccentricity of a superimposed axial load, in

F = actual in-plane force at the top of a shear wall, lb

F_{a} = allowable axial compressive stress in AAC, psi

f_{a} = actual axial compressive stress in AAC, psi

F_{b} = allowable flexural compressive stress in AAC, psi

f_{b} = actual flexural compressive stress in AAC, psi

f’_{c} = minimum specified compressive strength of normal weight concrete, psi

f’_{AAC} = minimum specified compressive strength of AAC, psi

F_{s} = allowable tensile stress in reinforcing steel or tie-down, psi

f_{s} = actual tensile stress in reinforcing steel, psi

F_{t} = allowable flexural tensile stress in AAC, psi

f_{t} = actual flexural tensile stress in AAC, psi

F_{v} = allowable shear stress in AAC, psi

f_{v} = actual shear stress in AAC across the thickness of the element, psi

h = effective height of wall, ft

H = depth of a diaphragm measured in a horizontal direction, ft

I = moment of inertia of wall based on a solid cross-section, in^{4}

I_{cracked} = cracked moment of inertia for normal weight concrete, in^{4}

j = factor determined based on an elastic analysis of a reinforced concrete section

k = factor determined based on an elastic analysis of a reinforced concrete section

L = length of AAC shear wall, ft

M = actual design moment for analysis, ft k or ft lb

M_{base} = moment considered at the base of an AAC wall, ft lb

M_{conc} = allowable moment for a reinforced concrete section when the concrete is the controlling element, ft lb

M_{max} = maximum moment occurring in an AAC wall due to lateral load, ft lb

M_{nom} = allowable moment for a reinforced normal weight concrete section, ft lb

M_{otm} = overturning moment for shear wall design, ft lb

M_{r} = resisting moment of shear wall based on dead load, ft lb

M_{rAAC} = allowable moment for an AAC shear wall when flexural compression is the controlling criteria, ft lb

M_{rebar} = allowable moment for a reinforced concrete section when the reinforcing steel is the controlling element, ft lb Mrsteel = allowable moment for an AAC shear wall when tension in the tie-down is the controlling criteria, ft lb

n = modular ratio of AAC or conventional concrete to reinforcing steel

P_{ac} = allowable superimposed axial compressive load for AAC when compressive stress is the controlling criteria, lb

P_{at} = allowable superimposed axial compressive load for AAC when flexural tensile stress is the controlling criteria, lb

P_{v} = allowable in-plane force at the top of a shear wall, lb

R = dead load reduction factor

r = radius of gyration of wall based on a solid cross-section, in

S = section modulus of wall or diaphragm based on a solid cross-section, in^{3}

s = spacing of tie-downs resisting uplift when deflection in the bond beam is the controlling criteria, ft

s_{m} = spacing of tie-downs resisting uplift when moment in the bond beam is the controlling criteria, ft

s_{v} = spacing of tie-downs resisting uplift when shear in the bond beam is the controlling criteria, ft

T = tension force used to resist overturning of a shear wall, lb

T_{c} = tensile chord force in a diaphragm system, lb or kip

t = thickness of element, in

V = actual shear force at location of interest for diaphragm analysis, lb

v = actual shear force per unit length at location of interest for diaphragm analysis, plf

V_{AAC} = shear strength provided by AAC, lb

V_{c} = shear strength provided by normal weight concrete, lb

V_{g} = allowable shear force for a grouted joint or bond beam for diaphragm analysis, plf

V_{s} = shear strength provided by shear reinforcement in normal weight concrete, lb

V_{u} = design shear force, lb

w = design velocity pressure due to wind, psf; or uniform load for beam analysis, plf; or superimposed dead load, plf wbb = self-weight of bond beam, plf

w_{up} = uplift load resisted by a bond beam, plf

x = height above floor at which the maximum flexural moment occurs in an AAC wall, ft

γ = nominal dry bulk density of AAC, pcf

γ_{D} = design dead weight of AAC, pcf

ρ = ratio of reinforcing steel area to concrete area, As /bd

µ = coefficient of friction