Consider the prestressed concrete beam and prestressing steel stress-strain diagram given below. The concrete is assumed to have an ultimate strain capacity of 0.003 in/in. Determine the nominal strength of the member using the strain compatibility method. It should be noted that the stress-strain diagram below allows virtually "exact" calculation of stresses and strains in the prestressing steel.

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4.1 Consider the prestressed concrete beam and prestressing steel stress-strain diagram given
below. The concrete is assumed to have an ultimate strain capacity of 0.003 in/in. Determine
the nominal strength of the member using the strain compatibility method. It should be noted
that the stress-strain diagram below allows virtually "exact" calculation of stresses and strains
in the prestressing steel.
Assume that the specified concrete strength is 4,000 psi, fse = 137 ksi, Ec = 3850 ksi,
Ecu = 0.003, p = 0.40 and Eps = 28,000 ksi.
20"
4"
3"
-10"
O
-10"
(a)
17.58"
Ap = 0.575 in.2
fp ksi
250
213
0.0079
Ep
(b)
0.067
Transcribed Image Text:4.1 Consider the prestressed concrete beam and prestressing steel stress-strain diagram given below. The concrete is assumed to have an ultimate strain capacity of 0.003 in/in. Determine the nominal strength of the member using the strain compatibility method. It should be noted that the stress-strain diagram below allows virtually "exact" calculation of stresses and strains in the prestressing steel. Assume that the specified concrete strength is 4,000 psi, fse = 137 ksi, Ec = 3850 ksi, Ecu = 0.003, p = 0.40 and Eps = 28,000 ksi. 20" 4" 3" -10" O -10" (a) 17.58" Ap = 0.575 in.2 fp ksi 250 213 0.0079 Ep (b) 0.067
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