2. A 6 m long cantilever beam 250 mm x 600 mm carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout the length and a concentrated live load of 18 kN at the free end. To prevent excessive deflection of the beam it is pre-tensioned with 12 mm Ø strands causing a final prestress force of 540 kN. Determine the following: Resulting stress at the bottom fiber at the free end if the center of gravity of the strands coincide the centroid of the section. b. Resulting stress at the top fiber at the fixed end if the center of gravity of the strands is at 100 mm above the neutral axis of the beam. c. Eccentricity of the prestress force at the fixed end such that the resulting stress at the top fiber of the beam at the fixed end is zero.
2. A 6 m long cantilever beam 250 mm x 600 mm carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout the length and a concentrated live load of 18 kN at the free end. To prevent excessive deflection of the beam it is pre-tensioned with 12 mm Ø strands causing a final prestress force of 540 kN. Determine the following: Resulting stress at the bottom fiber at the free end if the center of gravity of the strands coincide the centroid of the section. b. Resulting stress at the top fiber at the fixed end if the center of gravity of the strands is at 100 mm above the neutral axis of the beam. c. Eccentricity of the prestress force at the fixed end such that the resulting stress at the top fiber of the beam at the fixed end is zero.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2. A 6 m long cantilever beam 250 mm x 600 mm carries a uniformly distributed dead load (beam
weight included) of 5 kN/m throughout the length and a concentrated live load of 18 kN at the free
end. To prevent excessive deflection of the beam it is pre-tensioned with 12 mm Ø strands causing a
final prestress force of 540 kN. Determine the following:
a. Resulting stress at the bottom fiber at the free end if the center of gravity of the strands
coincide the centroid of the section.
b. Resulting stress at the top fiber at the fixed end if the center of gravity of the strands is at 100
mm above the neutral axis of the beam.
c. Eccentricity of the prestress force at the fixed end such that the resulting stress at the top fiber
of the beam at the fixed end is zero.
|18 kN/m
W=5 kN/m
600
540 kN
540 kN
250
6 m
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