A rectangular pre-tensioned prestressed beam has a width of 300mm, a total depth of 600 mm, and a simply supported span of 16m. Grade 1725 stress relieved prestressing tendons are placed at a constant eccentricity of 130mm. The total area of the tendons, subjected to an effective prestressing force of 637.5 KN, is equal to 650.3 sq.mm. Use Eps = 186 MPa, fc’ = 35 MPa and R = 0.25. It is expected that at the time of transfer, the concrete must have reached 75% of its specified strength. Assume that the maximum moment during service loads is 720 KN-m (due to sustained loads). Note : evaluate the allowable stresses given by the code using an uncracked sections. Calculate the concrete stresses at the critical sections during the initial stage.

Structural Analysis
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Chapter2: Loads On Structures
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A rectangular pre-tensioned prestressed beam has a width of 300mm, a total depth of 600 mm, and a simply supported span of 16m. Grade 1725 stress relieved prestressing tendons are placed at a constant eccentricity of 130mm. The total area of the tendons, subjected to an effective prestressing force of 637.5 KN, is equal to 650.3 sq.mm. Use Eps = 186 MPa, fc’ = 35 MPa and R = 0.25. It is expected that at the time of transfer, the concrete must have reached 75% of its specified strength. Assume that the maximum moment during service loads is 720 KN-m (due to sustained loads). Note : evaluate the allowable stresses given by the code using an uncracked sections.

  1. Calculate the concrete stresses at the critical sections during the initial stage.
  2. Calculate the concrete stresses at the critical sections during the final stages of loading.
  3. Is the section adequate during initial stage?
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