A pretensioned prestressed beam has a rectangular cross section of 6 in. width and 20 in. total depth. It is built using normal-density concrete with a specified strength f = 4000 psi and a strength at transfer of f' = 3000 psi. Stresslimits are as follows: fi = 164 psi, f. = -1800 psi, f. = 474 psi, andfes = -1800 psi. The effectiveness ratio R may be assumed equal to 0.80. Forthese conditions, find the initial prestress force P, and eccentricity e to maximize the superimposed load moment My + M, that can be carried without exceeding the stress limits. What uniformly distributed load can be carried on a 30 ft simple span? What tendon profile would you recommend? A pretensioned prestressed beam has a rectangular cross section of 6 in. widthand 20 in. total depth. It is built using normal-density concrete with a spec-ified strength f = 4000 psi and a strength at transfer of f = 3000 psi. Stresslimits are as follows: f = 164 psi, fi = -1800 psi, fts = 474 psi, and|fcs = -1800 psi. The effectiveness ratio R may be assumed equal to 0.80. Forthese conditions, find the initial prestress force P, and eccentricity e to max-imize the superimposed load moment M₁ + M₁ that can be carried withoutexceeding the stress limits. What uniformly distributed load can be carriedon a 30 ft simple span? What tendon profile would you recommend?

Width (b) = 6 inches = 0.5 feetTotal depth (h) = 20 inches = 1.67 feetSpecified strength of concrete…

Answered: pretensioned prestressed beam has a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A pretensioned prestressed beam has a rectangular cross section of 6 in. width and 20 in. total depth. It is built using normal-density concrete with a specified strength f = 4000 psi and a strength at transfer of f' = 3000 psi. Stress limits are as follows: fi = 164 psi, f. = -1800 psi, f. = 474 psi, and fes = -1800 psi. The effectiveness ratio R may be assumed equal to 0.80. For these conditions, find the initial prestress force P, and eccentricity e to maximize the superimposed load moment My + M, that can be carried without exceeding the stress limits. What uniformly distributed load can be carried on a 30 ft simple span? What tendon profile would you recommend?

Transcribed Image Text:A pretensioned prestressed beam has a rectangular cross section of 6 in. width and 20 in. total depth. It is built using normal-density concrete with a spec- ified strength f = 4000 psi and a strength at transfer of f = 3000 psi. Stress limits are as follows: f = 164 psi, fi = -1800 psi, fts = 474 psi, and |fcs = -1800 psi. The effectiveness ratio R may be assumed equal to 0.80. For these conditions, find the initial prestress force P, and eccentricity e to max- imize the superimposed load moment M₁ + M₁ that can be carried without exceeding the stress limits. What uniformly distributed load can be carried on a 30 ft simple span? What tendon profile would you recommend?

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