Sr.No.
|
Symbol
|
|
Definitions
|
1
|
α
|
=
|
Angle formed with horizontal
by diagonal reinforcement
|
2
|
ε1
|
=
|
Strain at level considered,
Calculated ignoring the stiffening of the concrete in tension zone
|
3
|
εm
|
=
|
Average steel strain at level
considered
|
4
|
Acr
|
=
|
Distance from the point
considered to the surface of the nearest longitudinal bar
|
5
|
Adr
|
=
|
Area of diagonal reinforcement
in coupler beam
|
6
|
AstCalc
|
=
|
Area of Tension reinforcement
required in sqmm
|
7
|
Ast comp
|
=
|
Ast at compression side
|
8
|
AstCrack
|
=
|
Area of Tension reinforcement
for Crack Width required in sqmm
|
9
|
AstPrv
|
=
|
Area of reinforcement provided
at given section in sqmm
|
10
|
Asv
|
=
|
Area of shear reinforcement
required per meter length in sqmm
|
11
|
Asv Reqd
|
=
|
Min area shear reinforcement
as per clause 41.4.3
|
12
|
Asv Total Prv
|
=
|
Total area of shear
reinforcement provided, including that for torsion
|
13
|
Asv Torsion
|
=
|
Area of Stirrups over the
corner bars to resist shear and torsion as per clause 41.4.3
|
14
|
Asv Torsion Prv
|
=
|
Area of shear reinforcement
resisting torsion (outer legs only)
|
15
|
b
|
=
|
Width of the Beam in mm
|
16
|
bw
|
=
|
Width of Web in mm
|
17
|
Ceff
|
=
|
Effective Cover of Beam in mm
|
18
|
Cmin
|
=
|
Clear cover
|
19
|
d
|
=
|
Effective depth of Beam in mm
|
20
|
d'
|
=
|
Clear cover to reinforcement
at compression side.
|
21
|
D
|
=
|
Depth of Beam in mm
|
22
|
D'
|
=
|
Distance (c/c) between
top-most and bottom-most layer
|
23
|
Df
|
=
|
Thickness of Flange in mm
|
24
|
Ec
|
=
|
Modulus of elasticity of
concrete
|
25
|
Es
|
=
|
Modulus of elasticity of steel
|
26
|
FcPerm
|
=
|
Permissible Stress in Concrete
required in N/sqmm
|
27
|
Fst
|
=
|
Stress in steel
|
28
|
FstPerm
|
=
|
Permissible Stress in Steel
required in N/sqmm
|
29
|
Legs
|
=
|
Number of legs of the shear
reinforcement
|
30
|
lo
|
=
|
Effective Length of Beam in mm
|
31
|
Mh
|
=
|
Hogging Moment of Resistance
in kNm
|
32
|
Ms
|
=
|
Sagging Moment of Resistance
in kNm
|
33
|
MTu
|
=
|
Converted Bending Moment due
to Torsion at a section in kNm
|
34
|
Mu
|
=
|
Factored Bending Moment in
Limit State at a section in kNm
|
35
|
Mud
|
=
|
Total Design Moment = Mu + MTu
in kNm
|
36
|
MuLim
|
=
|
Limiting Moment of Resistence
of Singly Reinforced Section
|
37
|
NA angle (φ)
|
=
|
It is a neutral axis angle
corresponding to load angle to find out MCap
|
38
|
Pcclc
|
=
|
Calculated percentage
compression steel
|
39
|
Ptclc
|
=
|
Calculated percentage tension
steel
|
40
|
Ptmin
|
=
|
Minimum percentage steel as
per code
|
41
|
PtPrv
|
=
|
provided percentage steel
|
42
|
R
|
=
|
Moment Ratio Mud/Bd2
|
43
|
Reinf
|
=
|
Rebar arrangement provided
|
44
|
sp
|
=
|
Spacing Between bars at outer
most layer
|
45
|
Spc1 to Spc6
|
=
|
Max Stirrup Criteria in mm
|
46
|
Stirrup Dia
|
=
|
Diameter of shear stirrups in
mm
|
47
|
SvCalc
|
=
|
Stirrup spacing calculated as
per Asv in mm
|
48
|
SvPrv
|
=
|
Stirrup spacing provided in m
|
49
|
Tc
|
=
|
Permissible Shear stress in
concrete at a given section in N/sqmm Calculated as per Tensile
reinforcement
|
50
|
Τce
|
=
|
Earthquake inducted shear
stress in N/sqmm
|
51
|
Τcep
|
=
|
Permissible value of shear
stress for checking of coupling action in N/sqmm
|
52
|
Tu
|
=
|
Factored Torsional Moment in
Limit State at a section in kNm
|
53
|
Tv
|
=
|
Shear stress due to Vud in
N/sqmm
|
54
|
VD+L
|
=
|
Shear force 1.2x(Dead Load +
Live Load) in kN
|
55
|
Vc
|
=
|
Shear capacity of concrete
section due to Tc in kN
|
56
|
Vu
|
=
|
Factored Shear Force in Limit
State at a section in kN
|
57
|
Vu-A1
|
=
|
VD+LLeft - 1.4 x
(MsLeft + MhRight)/L in kN
|
58
|
Vu-A2
|
=
|
VD+LLeft + 1.4 x
(MhLeft + MsRight)/L in kN
|
59
|
Vu-B1
|
=
|
VD+LRight + 1.4 x
(MsLeft + MhRight)/L in kN
|
60
|
Vu-B2
|
=
|
VD+LRight - 1.4 x
(MhLeft + MsRight)/L in kN
|
61
|
Vud
|
=
|
Design Shear Force (Max of Vus
and Vu-sway) in kN
|
62
|
Vue
|
=
|
Earthquake inducted shear in
kN
|
63
|
Vu-sway
|
=
|
Max of (Vu-A1 and Vu-A2) &
(Vu-B1 and Vu-B2) in kN
|
64
|
Vus
|
=
|
Vud - Vc Design Shear Force
for reinforcement, in kN
|
65
|
Vut
|
=
|
Total Shear Force = Vu + VTu
in kN
|
66
|
VTu
|
=
|
Converted Shear Force due to
Torsion at a section in kN
|
67
|
Wcr
|
=
|
Surface Crack Width
|
68
|
WcrPerm
|
=
|
Permissible Crack Width
required in mm
|
69
|
X1
|
=
|
Smaller c/c dimension of
outermost Stirrups
|
70
|
Y1
|
=
|
Larger c/c dimension of
outermost Stirrups
|
|
|
|
All 6mm diameter bars are
assumed 250 grade with fy = 250 N/sqmm
|
|
|
|
|
All Forces are in 'kN', 'kNm',
Stress in 'N/sqmm' & Dimension are in 'mm'.
|