A cross section of a prestressed bonded beam is reinforced by prestressing tendons having a total area of 925 sq.mm. Specified yield strength of prestressing tendon is 1610.75MPa. Specified tensile strength of prestressing tendon is 1895MPa. And specified compressive strength of concrete of 34.6 MPa. The beam has a width of 300mm and a total depth of 600mm. Distance from the extreme compression fiber to the centroid of prestressing tendon is 490 mm, Pi=1387.5 KN , R=0.8 and Eps=196 GPa 1. What is the strain resulting from the application of the effective prestressing force? 2. What is the increased strain corresponding to the decompression of concrete at the level of the steel centroid? 3. Using the stress strain graph below, what is the total steel strain for fps equal to 1689.275 MPa? 4. Using modified strain compatibility analysis, what is the total steel strain? 5. What is the stress in the prestressed reinforcement at nominal strength, fps, using modified strain compatibility analysis? 6. What is the compressive force on concrete using fps from modified strain compatibility analysis?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A cross section of a prestressed bonded beam is reinforced by prestressing tendons having a total area of 925 sq.mm. Specified yield strength of prestressing tendon is 1610.75MPa. Specified tensile strength of prestressing tendon is 1895MPa. And specified compressive strength of concrete of 34.6 MPa. The beam has a width of 300mm and a total depth of 600mm. Distance from the extreme compression fiber to the centroid of prestressing tendon is 490 mm, Pi=1387.5 KN , R=0.8 and Eps=196 GPa

1. What is the strain resulting from the application of the effective prestressing force?

2. What is the increased strain corresponding to the decompression of concrete at the level of the steel centroid?

3. Using the stress strain graph below, what is the total steel strain for fps equal to 1689.275 MPa?

4. Using modified strain compatibility analysis, what is the total steel strain?

5. What is the stress in the prestressed reinforcement at nominal strength, fps, using modified strain compatibility analysis?

6. What is the compressive force on concrete using fps from modified strain compatibility analysis?

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