| Sr.No. |
Symbol |
|
Definitions |
| 1 |
α |
= |
Angle formed with horizontal line along length of Beam |
| 2 |
Ach |
= |
Cross sectional area of structural member measures to the outside edge of transverse reinforcement in 'in2' |
| 3 |
Ag |
= |
Cross sectional area of concrete in 'in2' |
| 4 |
Ash |
= |
Total cross sectional area transverse reinforcement (including cross ties) within spacing S in 'in2' |
| 5 |
Avd |
= |
Area of diagonal reinforcement in coupler beam in 'in2' |
| 6 |
As |
= |
Area of Tension reinforcement required in 'in2' |
| 7 |
As,min |
= |
Minimum area of flexural reinforcement in 'in2' |
| 8 |
As,nominal |
= |
Nominal area of reinforcement in 'in2' |
| 9 |
Al |
= |
Area of longitudinal reinforcement required to resist torsion in 'in2' |
| 10 |
Al,face |
= |
Area of longitudinal reinforcement required on each face to resist torsion in 'in2' |
| 11 |
At Torsion |
= |
Area of closed stirrups resisting torsion in 'in2' |
| 12 |
AstPrv |
= |
Area of longitudinal reinforcement provided at given section in 'in2' |
| 13 |
Av |
= |
Area of shear reinforcement required per meter length in 'in2' |
| 14 |
Av,min |
= |
Minimum area of shear reinforcement in
'in2' |
| 15 |
Al,min |
= |
Minimum area of longitudinal torsional reinforcement in 'in2' |
| 16 |
Av Total Reqd |
= |
Total area of shear reinforcement required, including that for torsion in 'in2' |
| 17 |
Av Total Prv |
= |
Total area of shear reinforcement provided, including that for torsion in 'in2' |
| 18 |
Ao |
= |
Gross area enclosed by shear flow path in 'in2' |
| 19 |
Aoh |
= |
Area enclosed by centerline of the outermost closed transverse torsional reinforcement in 'in2' |
| 20 |
Ast |
= |
Total area of longitudinal reinforcement calculated at a given section in 'in2' |
| 21 |
Asr |
= |
Area of Skin reinforcement calculated for given section in 'in2' |
| 22 |
Asc |
= |
Area of Compression reinforcement required for doubly reinforced section or if torsion exists in 'in2' |
| 23 |
Asv Reqd Sway |
= |
Area of shear reinforcement required for sway condition in 'in2' |
| 24 |
b |
= |
Width of the Beam in 'in' |
| 25 |
bw |
= |
Width of Web ( For flanged Beam ) in 'in' |
| 26 |
b' |
= |
C/C distance between longitudinal reinforcement along B in 'in' |
| 27 |
bc |
= |
Oustside dimension of transverse reinforcement in 'in' |
| 28 |
Cc |
= |
Effective Cover to tension reinforcement in 'in' |
| 29 |
Cmin |
= |
Clear cover in 'in' |
| 30 |
c' |
= |
Effective cover to reinforcement at compression face in 'in' |
| 31 |
d |
= |
Effective depth of Beam in 'in' |
| 32 |
d' |
= |
C/C distance between longitudinal reinforcement along D in 'in' |
| 33 |
D |
= |
Depth of Beam in 'in' |
| 34 |
Es |
= |
Modulus of elasticity of steel in 'ksi' |
| 35 |
f'c |
= |
Specified compressive strength of concrete in cylinder in 'ksi' |
| 36 |
fs |
= |
Calculated tensile stress in reinforcement
at service loads, 'ksi' |
| 37 |
Hf |
= |
Thickness of Flange in 'in' |
| 38 |
hx |
= |
Maximum C/C horizontal spacing of hoops legs on all faces in 'in' |
| 39 |
Icr |
= |
Moment Of Inertia Of concrete crack section |
| 40 |
l |
= |
Effective Length Of Beam (Clear Span) in 'in' |
| 41 |
Legs |
= |
Number Of legs Of the shear reinforcement |
| 42 |
Mcr |
= |
Cracking Moment |
| 43 |
Mh |
= |
Hogging moments of resistance of member at the joint faces in 'kip-ft' |
| 44 |
Mpr1 |
= |
Hogging moments Of resistance Of member at the joint faces in 'kip-ft' |
| 45 |
Mpr2 |
= |
Sagging moments Of resistance Of member at the joint faces in 'kip-ft' |
| 46 |
Ms |
= |
Sagging moments Of resistance Of member at the joint faces in 'kip-ft' |
| 47 |
Mu |
= |
Factored Bending Moment at a section in 'kip-ft' |
| 48 |
Mubal |
= |
Nominal flexural strength Of Singly Reinforced Section At Balance Neutral Axis in 'kip-ft' |
| 49 |
Ptmin |
= |
Minimum percentage steel |
| 50 |
PtPrv |
= |
Provided percentage steel |
| 51 |
Stirrup |
= |
Bar mark representing shear stirrup
|
| 52 |
S |
= |
spacing Of confining links in 'in'
|
| 53 |
SCalc |
= |
Stirrup spacing calculated As per
Asv in 'in' |
| 54 |
Spc-trans |
= |
Spacing of shear links along width of the beam in 'in' |
| 55 |
Sprv |
= |
Stirrup spacing provided in 'in' |
| 56 |
Tcr |
= |
Cracking torque under pure Torsion in 'kip-ft' |
| 57 |
Tu |
= |
Factored Torsional Moment at a section in 'kip-ft' |
| 58 |
VD+L |
= |
Shear due to Dead and Live load in Simply supported beam in 'kip' |
| 59 |
Ve |
= |
Earthquake induced shear in
'kip-ft' |
| 60 |
φVc |
= |
Reduced Shear strength provided by concrete in 'kip' |
| 61 |
φVc sway |
= |
Reduced Shear strength provided by concrete for sway condition in 'kip' |
| 62 |
Vu |
= |
Factored Shear Force at a section in 'kip' |
| 63 |
Vu-A1(sway Left) |
= |
VD+Lleft - (Mpr1left + Mpr2right / L ) in 'kip' |
| 64 |
Vu-A2(sway Left) |
= |
VD+Lleft + (Mpr2left + Mpr1right / L ) in 'kip' |
| 65 |
Vu-B1(sway Right) |
= |
VDLRight - (Mpr1left + Mpr2right / L ) in 'kip' |
| 66 |
Vu-B2(sway Right) |
= |
VDLRight + (Mpr2left + Mpr1right / L ) in 'kip' |
| 67 |
Vud |
= |
Design Shear Force due to sway in 'kip' |
| 68 |
Vs |
= |
Nominal shear strength provided by shear reinforcement in 'kip' |
| 69 |
Vs Sway |
= |
Nominal shear strength provided by shear reinforcement for sway condition in 'kip' |
| 70 |
Vu sway |
= |
Max (Vu-A1,Vu-A2) & (Vu-B1,Vu-B2) in 'kip' |
| 71 |
y |
= |
Neutral axis depth. |
| 72 |
Φ |
= |
Strength reduction factor |
| |
|
|
|
| All Forces are in 'kip', 'kip-ft', Stress in 'ksi' & Dimension are in 'in'. |