Problem 1: A 6-m long cantilevered beam, 250 mm width x 600 mm deep, carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout its length. To prevent excessive deflection of the beam, it is pretensioned with 12 mm diameter strands causing a final prestress force of 540 kN. a.) Determine the resulting stress (MPa) at the top fiber of the beam at the free end if the center of gravity of the strands coincide with the centroid of the section. b.) Determine the uniform eccentricity of the strands (mm) such that the resulting stress at the top fiber at the fixed end is zero.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 1:
A 6-m long cantilevered beam, 250 mm width x 600 mm deep, carries a uniformly distributed dead load (beam
weight included) of 5 kN/m throughout its length. To prevent excessive deflection of the beam, it is pretensioned
with 12 mm diameter strands causing a final prestress force of 540 kN.
a.) Determine the resulting stress (MPa) at the top fiber of the beam at the free end if the center of gravity of the
strands coincide with the centroid of the section.
b.) Determine the uniform eccentricity of the strands (mm) such that the resulting stress at the top fiber at the
fixed end is zero.
Transcribed Image Text:Problem 1: A 6-m long cantilevered beam, 250 mm width x 600 mm deep, carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout its length. To prevent excessive deflection of the beam, it is pretensioned with 12 mm diameter strands causing a final prestress force of 540 kN. a.) Determine the resulting stress (MPa) at the top fiber of the beam at the free end if the center of gravity of the strands coincide with the centroid of the section. b.) Determine the uniform eccentricity of the strands (mm) such that the resulting stress at the top fiber at the fixed end is zero.
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