A pretensioned simply supported double T-beam without topping has a span and geometry, as shown in the figure. It is subjected to a uniform superimposed gravity dead-load intensity WSp and live-load intensity W, summing to 6.13 kN/m. The initial prestress before losses is fpi the extreme fiber stresses (top and bottom) at the midspan due to: = 1300 MPa and the effective prestress after losses is fne = 1034 MPa. Determine the initial full prestress considering the beam self-weight (MPa). b. The final service load conditions when prestress losses have taken place (MPa). а.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A pretensioned simply supported double T-beam without topping has a span and geometry, as shown in the figure. It is
subjected to a uniform superimposed gravity dead-load intensity Wsp and live-load intensity W, summing to 6.13 kN/m.
The initial prestress before losses is fpi
the extreme fiber stresses (top and bottom) at the midspan due to:
= 1300 MPa and the effective prestress after losses is fpe
= 1034 MPa. Determine
the initial full prestress considering the beam self-weight (MPa).
b. The final service load conditions when prestress losses have taken place (MPa).
а.
W Sp + W = 420 plf (6.13 kN/m)
cgc-
64'-0"
(19.51 m)
10'-0"
2"
2"
53/4"
topping
24"
5'-0"
33/4"
Ac
= 2897 cm²
Ic = 935,346 cm²
Cpot.
451 тm
Ctop
—D 158 тт
emid.
375 тm
lend
= 197 mm
S, %3D 20,713 ст3
St = 59,108 cm³
WD = 4.45 kN/m
990 тm?
Aps
Transcribed Image Text:A pretensioned simply supported double T-beam without topping has a span and geometry, as shown in the figure. It is subjected to a uniform superimposed gravity dead-load intensity Wsp and live-load intensity W, summing to 6.13 kN/m. The initial prestress before losses is fpi the extreme fiber stresses (top and bottom) at the midspan due to: = 1300 MPa and the effective prestress after losses is fpe = 1034 MPa. Determine the initial full prestress considering the beam self-weight (MPa). b. The final service load conditions when prestress losses have taken place (MPa). а. W Sp + W = 420 plf (6.13 kN/m) cgc- 64'-0" (19.51 m) 10'-0" 2" 2" 53/4" topping 24" 5'-0" 33/4" Ac = 2897 cm² Ic = 935,346 cm² Cpot. 451 тm Ctop —D 158 тт emid. 375 тm lend = 197 mm S, %3D 20,713 ст3 St = 59,108 cm³ WD = 4.45 kN/m 990 тm? Aps
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