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# Problem #1 Given: beam deminsions: flange width=22&amp;quot; FLANGE THICKNESS=7&amp;quot; WEB WIDTH=7&amp;quot; SECTION HEIGHT=40&amp;quot;...

given: pretensioned, simple beam with 40ft span
live=1klf
constant tendon eccentricity
time-dependentlosses=.16Pi
f'c=5000psi
f'ci=4000psi
fpu=250psi
keep h approx equal to 2.5 b
use ACI limit stresses

Required:
(a)Section deminsions
(b)prestress steel
(c)Pi"
Problem #1 Given: beam deminsions: flange width=22" FLANGE THICKNESS=7" WEB WIDTH=7" SECTION HEIGHT=40" f'c=5000psi f'ci=3500psi fpu=270ksi Ap=eighteen 1/2" diam strands superimposed load=.85k/ft: 40' simple span Type I cement; moist cured Pretensioned beam Required: estimate prestress losses at midspan 90 days after release. (elastic shortening,creep,shrinkage,steel relaxation) Problem #2 given: pretensioned rectangular beam b=6" h=20" f'c=4000psi f'ci=3000psi fti=.165ksi fts=.38ksi fci=1.8ksi fcs=1.8ksi R=0.80 Required: (a)Pi and e to maximize Md+Ml without exceeding stress limits. (b)Uniformly distributed load that can be carried on a 30ft span" Problem#3 given: pretensioned rectangular beam b=6" h=20" f'c=4000psi f'ci=3000psi fti=.165ksi fts=.38ksi fci=1.8ksi fcs=1.8ksi
R=0.80 Required: (a)Pi and e to maximize Md+Ml without exceeding stress limits. (b)Uniformly distributed load that can be carried on a 30ft span"

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