OFFICE BUILDING 1. ANALYSIS BY YIELD LINE THEORY SLAB (OFFICE ROOM)

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OFFICE BUILDING
1. ANALYSIS BY YIELD LINE THEORY
SLAB (OFFICE ROOM)
Size of Room = 6m   6.23m
1. DATA:
LX                                          =          6m
LY                                =          6.23m
Live Load (q)  =          4KN / m2
Floor finish load          =          0.8 KN / m2
Concrete grade            =          M20
2. DESIGN CONSTANT:
FY                                =          415 N/mm2
FCK                                        =          20 N/mm2
QU                                          =          2.759
3. DESIGN SLAB:
Longer span (Ly)        =          6m
Short span    (Lx)        =          6.23m
(ie) Design of Two way slab
3. DEPTH OF SLAB:
For simply supported slab using Fe415 HYSD bars for clause 24., of I­s: 456 – 2000 Code.
Span / overall depth                =          35  0.8 = 28
 Overall depth (D)               =   =  = 214mm  = 200mm
Adopt Overall depth (D    =   200 mm     effective depth (d)            =      175 mm

4. LOAD CALCULATION:
Self Weight of Slab                =          0.11  25 =2.75 KN / m2
Live Load                                           =           4 KN/ M2
Floor Finish                                         =            1 KN / m2
Total Service road (w)                        =        7.75 KN / m2
Design ultimate Load (wU) = 7.75  1.5 ,  WU = 11.63 KN / m2      
5. ULTIMATE MOMENT & SHEAR FORCE:
                        =
MU     =          4.359
MU     =          12.017 KNm/m
VU     =          0.5 WUL  =      0.5
VU     =          17.43 KN /m
6. LIMITING MOMENT CAPACITY OF THE SLAB:
MU Lim                           =      0.138 fck bd2
                                        =      (0.138
MU Lim                           =      19.941 KNM
MU < MU lim, The Section is under reinforced
7. TO GET AST:
MU (Short Span) = 0.87 fy AST d
  Ast           =   359.75 mm2


8. SPACING  & MIN. AST:
Use 10mm bars
SV =
SV = 218.31 mm , say 210 mm
 Provide 10mm bars @ 210mm centers in the short span
 Ast (Provided)       =  = 373. 99 mm2
 Ast (Long Spom) = = 0.7  210   =     147 mm2                                 
   Ast  (Minimum)     = 0.12 % of 6 D             = 0.12 / 100 =132 mm2
Provide 10mm bars @ 300 mm C/C

9. CHECK FOR SHEAR STRESS:
Permissible shear stress table 19 for Is 456 – 2000
= 0.585 N/mm2
Since  the shear stresses are within safe permissible limits
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