The simply supported I beam shown is to carry a uniformly distributed service dead and live load with a total of 8.02 kN/m over its 12.19 m spam, in addition to its own weight. Normal concrete having a density of 24 kN/m³ will be used. The beam will be pretensioned (with a draped/parabolic multiple 7wire strands) at the neutral axis at the supports and varying to an eccentricity at midspan equal to 132mm. The prestress force Pi is 752 kN. Time dependent losses due to shrinkage, creep and relaxation is 15% of P₁. Find the flexural stresses at midspan and support sections under initial and final conditions.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The simply supported I beam shown is to carry a uniformly distributed service dead and live load
with a total of 8.02 kN/m over its 12.19 m spam, in addition to its own weight. Normal concrete
having a density of 24 kN/m³ will be used. The beam will be pretensioned (with a
draped/parabolic multiple 7wire strands) at the neutral axis at the supports and varying to an
eccentricity at midspan equal to 132mm. The prestress force Pi is 752 kN. Time dependent losses
due to shrinkage, creep and relaxation is 15% of P₁. Find the flexural stresses at midspan and
support sections under initial and final conditions.
NA
12.190
304,8mm
304.8mm
N.A.
132 nm
Midspan cross section
Stal
Ic=4.99 x 10⁹ mm4
Ac= 114 x 10³ mm²
S₁ S₂ 16.4 x 106 mm³
r² = Ic/Ac = 44 x 10³ mm3
Transcribed Image Text:The simply supported I beam shown is to carry a uniformly distributed service dead and live load with a total of 8.02 kN/m over its 12.19 m spam, in addition to its own weight. Normal concrete having a density of 24 kN/m³ will be used. The beam will be pretensioned (with a draped/parabolic multiple 7wire strands) at the neutral axis at the supports and varying to an eccentricity at midspan equal to 132mm. The prestress force Pi is 752 kN. Time dependent losses due to shrinkage, creep and relaxation is 15% of P₁. Find the flexural stresses at midspan and support sections under initial and final conditions. NA 12.190 304,8mm 304.8mm N.A. 132 nm Midspan cross section Stal Ic=4.99 x 10⁹ mm4 Ac= 114 x 10³ mm² S₁ S₂ 16.4 x 106 mm³ r² = Ic/Ac = 44 x 10³ mm3
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