H.W No.1: The concrete I-beam of figure is pretensioned with four bounded stranded cables having total area (371 mm²). Eccentricity of the steel varies parabolically from 0 at the support to 193 mm at the center of 9 m span. The effective stress in steel after losses is 910 MPa. 254 mm 102 mm 76 mm 102 mm 193 mm 9 m a-what superimposed load will produce a balanced condition of external equivalent prestress load, such that uniform axial compression will be obtained in the concrete. b-what superimposed uniform distributed load will produce cracking of the beam, given the modulus of rupture f=3.28 MPa. c-compute the flexural strength of the beam and compare with the cracking moment. Use: fe = 27.6 MPa, fpy= 1469 MPa, fpu= 1724 MPa. Aps fps a= 0.85 feb --) M₁ = Aps fps (dp- Mn Mn = Pp fps bdp² (1 -0.59 x P x Ips) fci Apf = 0.85 f (b-bw)h fps Apw = 0.85 bw a fps a= Apwfps 0.85 fobw
H.W No.1: The concrete I-beam of figure is pretensioned with four bounded stranded cables having total area (371 mm²). Eccentricity of the steel varies parabolically from 0 at the support to 193 mm at the center of 9 m span. The effective stress in steel after losses is 910 MPa. 254 mm 102 mm 76 mm 102 mm 193 mm 9 m a-what superimposed load will produce a balanced condition of external equivalent prestress load, such that uniform axial compression will be obtained in the concrete. b-what superimposed uniform distributed load will produce cracking of the beam, given the modulus of rupture f=3.28 MPa. c-compute the flexural strength of the beam and compare with the cracking moment. Use: fe = 27.6 MPa, fpy= 1469 MPa, fpu= 1724 MPa. Aps fps a= 0.85 feb --) M₁ = Aps fps (dp- Mn Mn = Pp fps bdp² (1 -0.59 x P x Ips) fci Apf = 0.85 f (b-bw)h fps Apw = 0.85 bw a fps a= Apwfps 0.85 fobw
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:H.W No.1: The concrete I-beam of figure is pretensioned with four bounded stranded
cables having total area (371 mm²). Eccentricity of the steel varies parabolically from 0
at the support to 193 mm at the center of 9 m span. The effective stress in steel after
losses is 910 MPa.
254 mm
102 mm
76 mm
102 mm
193 mm
9 m
a-what superimposed load will produce a balanced condition of external equivalent
prestress load, such that uniform axial compression will be obtained in the concrete.
b-what superimposed uniform distributed load will produce cracking of the beam, given
the modulus of rupture f=3.28 MPa.
c-compute the flexural strength of the beam and compare with the cracking moment.
Use: fe = 27.6 MPa, fpy= 1469 MPa, fpu= 1724 MPa.
Aps fps
a=
0.85 feb
--)
M₁ = Aps fps (dp-
Mn
Mn = Pp fps bdp² (1 -0.59 x P x Ips)
fci
Apf = 0.85
f
(b-bw)h
fps
Apw
= 0.85
bw
a
fps
a=
Apwfps
0.85 fobw
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