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?

$A pretensioned prestressed beam has a rectangular cross section of 6 inches in width and 20 inches in total depth. It is constructed using normal-density concrete with a specified strength $ f'_c = 4000 $ psi and a strength at transfer of $ f'_{ci} = 3000 $ psi. Stress limits are as follows: $ f_{ti} = 164 $ psi, $ f_{ci} = -1800 $ psi, $ f_{s} = 474 $ psi, and $ f_{cs} = -1800 $ psi. The effectiveness ratio $ R $ may be assumed equal to 0.80. For these conditions, find the initial prestress force $ P_i $ and eccentricity $ e $ to maximize the superimposed load moment $ M_d + M_l $ that can be carried without exceeding the stress limits. What uniformly distributed load can be carried on a 30-foot simple span? What tendon profile would you recommend?$

Transcribed Image Text:A pretensioned prestressed beam has a rectangular cross section of 6 inches in width and 20 inches in total depth. It is constructed using normal-density concrete with a specified strength $ f'_c = 4000 $ psi and a strength at transfer of $ f'_{ci} = 3000 $ psi. Stress limits are as follows: $ f_{ti} = 164 $ psi, $ f_{ci} = -1800 $ psi, $ f_{s} = 474 $ psi, and $ f_{cs} = -1800 $ psi. The effectiveness ratio $ R $ may be assumed equal to 0.80. For these conditions, find the initial prestress force $ P_i $ and eccentricity $ e $ to maximize the superimposed load moment $ M_d + M_l $ that can be carried without exceeding the stress limits. What uniformly distributed load can be carried on a 30-foot simple span? What tendon profile would you recommend?

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