Problem 1 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 WL summing to 6.13 kN/m. The initial prestress before losses is fpi = 1300 MPa and the effective prestress after losses is fve = 1034 MPa. Determine the extreme fiber stresses (top and bottom) at the midspan due to: the initial full prestress considering the beam self-weight (MPa). b. The final service load conditions when prestress losses have taken place (MPa). a. Wsp + W - 420 plf (6.13 kN/m) cgc 64'-0" (19.51 m) 10'-0" 2" 53/4" topping 24" 5'-0" 33/4" Ac = 2897 cm2 Ic = 935,346 cm² Cbot. = 451 mm Ctop = 158 mm emid. = 375 mm Cend = 197 mm Sp = 20,713 cm3 St = 59,108 cm3 = 4.45 kN/m WD Aps = 990 mm2
Problem 1 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 WL summing to 6.13 kN/m. The initial prestress before losses is fpi = 1300 MPa and the effective prestress after losses is fve = 1034 MPa. Determine the extreme fiber stresses (top and bottom) at the midspan due to: the initial full prestress considering the beam self-weight (MPa). b. The final service load conditions when prestress losses have taken place (MPa). a. Wsp + W - 420 plf (6.13 kN/m) cgc 64'-0" (19.51 m) 10'-0" 2" 53/4" topping 24" 5'-0" 33/4" Ac = 2897 cm2 Ic = 935,346 cm² Cbot. = 451 mm Ctop = 158 mm emid. = 375 mm Cend = 197 mm Sp = 20,713 cm3 St = 59,108 cm3 = 4.45 kN/m WD Aps = 990 mm2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 1
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 WsD and live-load intensity W1 summing to 6.13 kN/m.
The initial prestress before losses is fpi = 1300 MPa and the effective prestress after losses is fpe
the extreme fiber stresses (top and bottom) at the midspan due to:
= 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"
53/4"
topping
24"
5'-0"
+ 33/4"
Ac = 2897 cm?
Ic = 935,346 cm²
Cbot. = 451 mm
Ctop = 158 mm
emid. = 375 mm
eend = 197 mm
Sp = 20,713 cm3
St = 59,108 cm3
WD
= 4.45 kN/m
Aps
= 990 mm²
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