Post-tensioned AASHTO Type III girders are to be used to support a deck with unsupported span equal to 90 feet. One level of Grade 270, 10 x 0.6" Ø 7-wire strand are used to tension the girders. The girder is simply supported at both ends. The anchors are located 2" from the neutral axis at the supports while the eccentricity is measured at 14" at the midspan. Use maximum values for ranges (table values). The tendons are encased in flexible metal sheathing. Assume and loadings are placed immediately after stressing. Determine the stresses at the top and bottom of the beam, including the stress at the level of steel after three years. Given the following parameters: F'c = 5000 psi Fy = 240 ksi (Bonded, Stress-relieved) Fu = 270 ksi = Es 29,000 ksi Ec = 4,030 psi Fj = 235 ksi A = 1x0.6" 07-W.S. = 0.217 in² Yc = 140 lbs/ft³ ΔΑ = 3/8" RH = 33% Superimposed Service Load = 10 kips/ft (excluding self-weight)

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
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Author:Segui, William T.
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Chapter5: Beams
Section: Chapter Questions
Problem 5.11.9P
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Post-tensioned AASHTO Type III girders are to be used to
support a deck with unsupported span equal to 90 feet. One level
of Grade 270, 10 x 0.6" Ø 7-wire strand are used to tension the
girders. The girder is simply supported at both ends. The anchors
are located 2" from the neutral axis at the supports while the
eccentricity is measured at 14" at the midspan.
Use maximum values for ranges (table values).
The tendons are encased in flexible metal sheathing. Assume and
loadings are placed immediately after stressing.
Determine the stresses at the top and bottom of the beam,
including the stress at the level of steel after three years.
Given the following parameters:
F'c = 5000 psi
Fy = 240 ksi (Bonded, Stress-relieved)
Fu = 270 ksi
=
Es 29,000 ksi
Ec = 4,030 psi
Fj = 235 ksi
A = 1x0.6" 07-W.S. = 0.217 in²
Yc = 140 lbs/ft³
ΔΑ = 3/8"
RH = 33%
Superimposed Service Load = 10 kips/ft (excluding self-weight)
Transcribed Image Text:Post-tensioned AASHTO Type III girders are to be used to support a deck with unsupported span equal to 90 feet. One level of Grade 270, 10 x 0.6" Ø 7-wire strand are used to tension the girders. The girder is simply supported at both ends. The anchors are located 2" from the neutral axis at the supports while the eccentricity is measured at 14" at the midspan. Use maximum values for ranges (table values). The tendons are encased in flexible metal sheathing. Assume and loadings are placed immediately after stressing. Determine the stresses at the top and bottom of the beam, including the stress at the level of steel after three years. Given the following parameters: F'c = 5000 psi Fy = 240 ksi (Bonded, Stress-relieved) Fu = 270 ksi = Es 29,000 ksi Ec = 4,030 psi Fj = 235 ksi A = 1x0.6" 07-W.S. = 0.217 in² Yc = 140 lbs/ft³ ΔΑ = 3/8" RH = 33% Superimposed Service Load = 10 kips/ft (excluding self-weight)
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