Precast/Prestressed Girder Help

FINAL STRESSES - NEGATIVE MOMENT ENVELOPE

Calculations at transfer point. The point that controls is the one in the right half of the beam, 1.58 ft. from the right bearing, 113.42 ft. from the left bearing.

The following four stresses, due to Prest., Self Wt., DL-prec. and Topping are the same as under the positive moment envelope, shown above. For this reason we just show the results.

  • Prest

    Precast-Top= 186.5 psi

    Bottom = 2258.1 psi

  • Self Wt.

    Precast-Top= 55.8 psi

    Bottom = -57.7 psi

  • DL-Prec.

    Precast-Top= 12.6 psi

    Bottom = -13.0 psi

  • Topping

    Precast-Top= 60.9 psi

    Bottom = -63.0 psi

  • DL-Comp
    T o p p i n g t o p = ( 309.4 k f t ) ( 12000 l b i n k f t ) 55882.7 i n 3 = 66.4 p s i
    Pr e c a s t t o p = ( 309.4 k f t ) ( 12000 l b i n k f t ) 63638.3 i n 3 = 58.3 p s i
    B o t t o m = ( 309.4 k f t ) ( 12000 l b i n k f t ) 20143.2 i n 3 = 184.3 p s i
  • LL+I(-)
    T o p p i n g t o p = ( 1455.1 k f t ) ( 12000 l b i n k f t ) 55882.7 i n 3 = 312.5 p s i
    Pr e c a s t t o p = ( 1445.1 k f t ) ( 12000 l b i n k f t ) 63638.3 i n 3 = 274.4 p s i

Total = Total of all stress components

Topping-top= -66.4 psi - 312.5 psi = -378.9 psi

Precast-top= 186.5 psi + 12.6 psi + 60.9 psi -58.3 psi-274.4 psi = -16.9 psi

Bottom = 2258.1 psi- 57.7 psi - 13.0 psi - 63.0 psi + 184.3 psi + 866.9 psi = 3175.6 psi