| Sr.No. |
Symbol |
|
Definitions |
| 1 |
Ac,eff |
= |
The effective area of concrete in tension surrounding the bar with depth hc,eff in 'sqmm' |
| 2 |
Acp |
= |
Total area enclosed by outside perimeter of concrete section in 'sqmm' |
| 3 |
Ao |
= |
Area enclosed by shear flow path in 'sqmm' |
| 4 |
Aoh |
= |
Area enclosed by centre line of exterior closed transverse torsion reinforcement in 'sqmm' |
| 5 |
Ast required |
= |
Area of longitudinal tensile reinforcement required at a cross section in 'mm' |
| 6 |
Astmin |
= |
Minimum cross sectional area of longitudinal tensile reinfocement in 'sqmm' |
| 7 |
Asv/s |
= |
Cross sectional area of shear reinforcement per m length of section in sqmm/m |
| 8 |
Asv/s min |
= |
Cross sectional area of minimum shear reinforcement per m length of section in sqmm/m |
| 9 |
b |
= |
Width of rectangular cross section in 'mm' |
| 10 |
Bef |
= |
Effetive width of flange for T or L beam in 'mm' |
| 11 |
bv |
= |
Effective width of a web for shear in 'mm' |
| 12 |
D |
= |
Overall depth of a cross section in the plane of bending in 'mm' |
| 13 |
do |
= |
Distance from the extreme compression fibre of the concrete to the centroid of the outermost layer of tensile reinforcement in 'mm' |
| 14 |
dsc |
= |
Distance from the extreme compressive fibre of the concrete to the centroid of compressive reinforcement in 'mm' |
| 15 |
dv |
= |
Effective depth to be considered for shear check in 'mm' |
| 16 |
Ec |
= |
Modulus of elasticity of concrete due to creep in 'N/sqmm' |
| 17 |
Ecj |
= |
Modulus of elasticity of concrete in 'N/sqmm' |
| 18 |
Es |
= |
Modulus of elasticity of steel in 'N/sqmm' |
| 19 |
f'c |
= |
Characteristic compressive (cylinder) strength of concrete at 28 days in 'N/sqmm' |
| 20 |
fcm |
= |
Mean value of cylinder strength in 'N/sqmm' |
| 21 |
fcmi |
= |
Mean value of the in site compressive strength of concrete at relavent age in 'N/sqmm' |
| 22 |
f'ct |
= |
Characterstic flexural tensile strength of concrete at 28 days in 'N/sqmm' |
| 23 |
f'ct f |
= |
Characterstic uniaxial tensile strength of concrete in 'N/sqmm' |
| 24 |
fsc |
= |
Characteristic compressive strength of reinforcement in 'N/sqmm' |
| 25 |
fsy |
= |
Characteristic yield strength of reinforcement in 'N/sqmm' |
| 26 |
fsy.f |
= |
Characteristic yield strength of reinforcement used as fitment in 'N/sqmm' |
| 27 |
k1 |
= |
Coefficient that accounts for bond properties of the bonded reinforcement |
| 28 |
k2 |
= |
Coefficient that accounts for the longitudinal strain distribution |
| 29 |
k2 |
= |
Coefficient used for the creep calculation |
| 30 |
k3 |
= |
Coefficient depend on the age of concrete at loadings used for the creep calculation |
| 31 |
k4 |
= |
Coefficient depend on the enviroment condition used for the creep calculation |
| 32 |
k5 |
= |
A modification factor for high strength concrete used for creep calculation |
| 33 |
k6 |
= |
Coefficient accounts for the non linear creep that develops at sustained stress level of 0.45 fcmi |
| 34 |
kd |
= |
The depth of the neutral axis on the cracked section in 'mm' |
| 35 |
ku |
= |
Neutral axis parameter being the ratio,at ultimate strength under any combination of bending and compression, of the depth to the neutral axis from the extreme compressive fibre to d |
| 36 |
kud |
= |
Ratio, at ultimate strength without axial force of the depth to the neutral axis from the extreme compression fibre to effective depth do |
| 37 |
kv |
= |
Constant to calculate concrete section Ultimate shear strength excluding shear reinforcement |
| 38 |
Legs |
= |
Number Of legs Of the shear reinforcement |
| 39 |
M* |
= |
Design Bending Moment at cross section in 'kNm' |
| 40 |
M*(shear) |
= |
Design Bending Moment at cross section related to Shear force considered in 'kNm' |
| 41 |
Mnh |
= |
Hogging moments of resistance of member at the joint faces in 'kNm' |
| 42 |
Mns |
= |
Sagging moments Of resistance Of member at the joint faces in 'kNm' |
| 43 |
Muo |
= |
Ultimate strength in bending, without axial force at a cross section in 'kNm' |
| 44 |
Scalc |
= |
Shear reinforcement spacing calculated as per Asv in 'mm' |
| 45 |
Sprv |
= |
Shear reinforcement spacing provided in 'mm' |
| 46 |
Sr, max |
= |
Maximum crack spacing in 'mm' |
| 47 |
t |
= |
Time since commencement of drying starts in concrete in days |
| 48 |
T* |
= |
Torsional moment on cross section in 'kNm' |
| 49 |
Tcr |
= |
Torsional cracking moment in 'kNm' |
| 50 |
th |
= |
Hypothetical thickness of a memebr used in determining creep and shrinkage in 'mm' |
| 51 |
Tus |
= |
Torsional resistance in 'kN' |
| 52 |
uc |
= |
The length of outside perimater of concrete cross section in 'mm' |
| 53 |
uh |
= |
Perimeter of the centre line of the closed transverse torsion reinforcement in 'mm' |
| 54 |
V* |
= |
Design shear force at a cross section in 'kN' |
| 55 |
V*-A1(sway Left) |
= |
VD+Lleft - (Mnsleft + Mnhright / L ) in 'kN' |
| 56 |
V*-A2(sway Left) |
= |
VD+LRight + (Mnsleft + Mnhright / L ) in 'kN' |
| 57 |
V*-B1(sway Right) |
= |
VDLleft - (Mnhleft + Mnsright / L ) in 'kN' |
| 58 |
V*-B2(sway Right) |
= |
VDLRight + (Mnhleft + Mnsright / L ) in 'kN' |
| 59 |
V*d |
= |
Design shear force at a cr oss section for sway condition in 'kN' |
| 60 |
V*eq |
= |
Equivalent factored Shear force for co-existing applied shear force and applied torsion in 'kN' |
| 61 |
V*-Sway |
= |
Max (V*-A1,V*-A2) & (V*-B1,V*-B2) in 'kN' |
| 62 |
VD+L |
= |
Shear due to Dead and Live load in Simply supported beam in 'kN' |
| 63 |
Vu,max |
= |
Ultimate shear strength limited by web crushing failure in 'kN' |
| 64 |
Vuc |
= |
Ultimate shear strength excluding shear reinforcement in 'kN' |
| 65 |
Vuc sway |
= |
Ultimate shear strength excluding shear reinforcement for sway condition in 'kN' |
| 66 |
Vus |
= |
Contribution of shear reinforcement to the ultimate shear strength of a beam or wall in 'kN' |
| 67 |
Vus Sway |
= |
Contribution of shear reinforcement to the ultimate shear strength of a beam for sway condition in 'kN' |
| 68 |
w |
= |
Calculated maximum crackwidth in the concrete member in 'mm' |
| 69 |
w'max |
= |
Maximum permissible crackwidth in a concrete member in 'mm' |
| 70 |
x' |
= |
Centre line distance of the closed transverse torsion reinforcement along width of section in 'mm' |
| 71 |
y' |
= |
Centre line distance of the closed transverse torsion reinforcement along depth of section in 'mm' |
| 72 |
y1 |
= |
Larger overall dimension of the closed fitment in 'kN' |
| 73 |
α2 |
= |
Constant used for calculation of stress in concrete for rectangular stress block |
| 74 |
α2(crackwidth) |
= |
Constant used for crackwidth calculation based on Hypothetical thickness of section (th) |
| 75 |
α3 |
= |
Coefficient used for creep calculation, 0.7x (k4 x α2) |
| 76 |
αv |
= |
Angle between the inclined shear reinforcement and the longitudinal tensile reinforcement in Degree |
| 77 |
γ |
= |
The ratio, under design bending or design combined bending and compression, of the depth of the assumed rectangulat compressive stress block to kud |
| 78 |
εcc |
= |
The creep strain in the concrete |
| 79 |
εsc |
= |
Strain at level where compressive reinforcement is provided in case of doubly reinforced beam |
| 80 |
εx |
= |
Longitudinal strain in concrete |
| 81 |
ηe |
= |
Effective modular ratio |
| 82 |
θv |
= |
Angle between the axis of the concrete compression strut and the longitudinal axis of the member in Degree |
| 83 |
σo |
= |
The compressive stress in concrete assuming a cracked section in 'N/sqmm' |
| 84 |
σo,Perm |
= |
Permissible compressive stress in concrete assuming a cracked section in 'N/sqmm' |
| 85 |
σscr |
= |
The stress in the tensile reinforcement assuming a cracked section in 'N/sqmm' |
| 86 |
σscr,Perm |
= |
Permissible stress in the tensile reinforcement assuming a cracked section in 'N/sqmm' |
| 87 |
τ |
= |
Age of concrete at loadings in days |
| 88 |
Φ |
= |
Capacity reduction factor for design using linear elastic analysis |
| 89 |
φcc |
= |
Design creep coefficient for concrete |
| 90 |
φcc.b |
= |
Basic creep co-efficient |
| |
|
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| All Forces are in 'kN', 'kNm', Stress in 'N/sqmm' & Dimension are in 'mm'. |