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 a. What is the increased strain corresponding to the decompression of concrete at the level of the steel centroid? b.Using modified strain compatibility analysis, what is the total steel strain? c. Using modified strain compatibility analysis, what is the total steel strain? d. What is the stress in the prestressed reinforcement at nominal strength, fps, using modified strain compatibility analysis? e. What is compressive force on concrete using fps, modified strain compatibility analysis?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.3.2P: A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross...
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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

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

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

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

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

e. What is compressive force on concrete using fps, modified strain compatibility analysis?

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