DESIGN OF SINGLE PILE CAP
DATA:-
Pile Diameter                              : 400 mm
Column Dimension B x D                    : 400 x 600 mm
Axial   Load                               : 600 KN
Concrete Mix                               : M20
Steel Grade                                : Fe 415
DESIGN : -
   1. Pile Cap Dimension :
    Width of Pile Cap = ( hp + 2 x 150 ) = 400 + 150 + 150 = 700 mm
   Depth of Pile cap       = 2 hp + 100 = 2 x 400 + 100 = 900 mm.
   2. Net Upward Pressure :
    Pu = 1.5 x 600     = 900 KN
                                                              2
    Upward Pressure =          900         = 1836.73 KN / m
                               0.7x 0.7
   3. Bending Moment :-
   Projection = 0.70 – 0.40          = 0.15 m
                       2
                                                                      2
    B.M. in Pile cap at section A – A         Mu = 1836.73 x 0.15 /2 = 20.66 KN.m
   4. Check for effective depth :
                           2                 6
    Mu = 0.138 fck b d = 20.66 x 10
                                      6
    d required = √ (20.66 x 10 ) / 2.76 x 700              = 103.40 mm
   D provided = 900 mm
   d available = 900 – 60 -12- 6 = 822 mm > d required i.e. 103.4 mm
   5. Check for Punching Shear : -
        As single Pile is provided, the cap has to be checked for punching shear.
   Area resisting punching = (600 x 2 + 400x 2) x 822
                                 =( 2000 x 822 ) mm
                                              3                   2                 2
   Punching stress               = 900 x 10        = 0.550N/mm        < 1.12 N/mm
                                     2000 x 822
   6. Main Reinforcement : -
      Mu   = 20.66 KN.m
                2                6
   K = Mu / bd = 20. 66 x 10         = 0.04 < Table value
                                 2
                     700 x 822
                                                     2
   Minimum Ast = 0.12 x 700 x 822 = 690.48 mm
                    100
Provide 12 mm Dia RTS @ 110 mm c/c both ways at bottom.
Provide same at top along perpendicular direction of main reinforcement.
7. Check for one way shear :-
Shear force at section A – A at a distance d/2 = 822 /2 = 411 mm from face of
column = 1836.73 x 0.15 x 0.70 = 275.51 KN
                             3                 2
Shear stress = 275.51 x 10       = 0.48 N/mm
               822 x 700
                                              2
Ast provided = 113 x 700/110 = 719.71 mm
Pt = 719.71 x 100   = 0.13 % < Minimum Pt of Table value of shear stress
       700 x 822
                                                                             2
For Pt = 0.20% ζc from Table 61 of Design Aid to IS 456 -1978 = 0.33 N /mm
                                                      -3
Balance shear Vus =275.51 – (0.33 x 700 x 822 x 10 ) =85.628 KN.
Vus /d = 85.628 / 82.2 =1.042 KN/cm
Provide 8 Φ RTS 2 legged stirrups @ 150 mm c/c.