A rectangular beam has a width 355 mm and a 660 mm depth on a simple span of 12.0 m. The straight tendons are placed at an eccentricity 125 mm below the N.A. (end-to-end of the beam), or 205 mm above the bottom of the beam. The initial prestressing force is 1,200,000 N. The allowable top concrete stress is -14.0 MPa (Compression) while the bottom concrete fiber stress is +1.50 MPa (Tension) both acting at the point of maximum moment. Assuming a loss of stress of 20 % of the initial prestressing force, determine the following: Situational Problem 1: the top concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 2: the bottom concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 3: the moment capacity of the beam as required by the fiber stress in Situational Problem 1, in kN m;

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A rectangular beam has a width 355 mm and a 660 mm depth on a simple span of 12.0
m. The straight tendons are placed at an eccentricity 125 mm below the N.A. (end-to-end
of the beam), or 205 mm above the bottom of the beam. The initial prestressing force is
1,200,000 N. The allowable top concrete stress is -14.0 MPa (Compression) while the
bottom concrete fiber stress is +1.50 MPa (Tension) both acting at the point of maximum
moment. Assuming a loss of stress of 20% of the initial prestressing force, determine the
following:
Situational Problem 1: the top concrete fiber stress at service stage (live load stage)
in MPa;
Situational Problem 2: the bottom concrete fiber stress at service stage (live load
stage) in MPa;
Situational Problem 3: the moment capacity of the beam as required by the fiber
stress in Situational Problem 1, in kN m;
Situational Problem 4: the moment capacity of the beam as required by the fiber
stress in Situational Problem 2, in kN m;
Situational Problem 5:
the safe uniform live load the beam could carry in N/m,
based in the Situational Problems 2 and 3; and
Situational Problem 6: what is the concrete fiber stress at top and bottom at the
ends of the beam?
Transcribed Image Text:A rectangular beam has a width 355 mm and a 660 mm depth on a simple span of 12.0 m. The straight tendons are placed at an eccentricity 125 mm below the N.A. (end-to-end of the beam), or 205 mm above the bottom of the beam. The initial prestressing force is 1,200,000 N. The allowable top concrete stress is -14.0 MPa (Compression) while the bottom concrete fiber stress is +1.50 MPa (Tension) both acting at the point of maximum moment. Assuming a loss of stress of 20% of the initial prestressing force, determine the following: Situational Problem 1: the top concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 2: the bottom concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 3: the moment capacity of the beam as required by the fiber stress in Situational Problem 1, in kN m; Situational Problem 4: the moment capacity of the beam as required by the fiber stress in Situational Problem 2, in kN m; Situational Problem 5: the safe uniform live load the beam could carry in N/m, based in the Situational Problems 2 and 3; and Situational Problem 6: what is the concrete fiber stress at top and bottom at the ends of the beam?
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