An I-shaped beam with overhang at both sides is shown below. The left figure shows the cross-sectional dimensions, while the right figure shows the triangular load acting on the on the beam. The prestressed cables are placed at an eccentricity e = 430 mm below the neutral axis. The cables are subjec- ted to a final prestressing force of P= 915 kN. 525mm w = 82.48 kN/m 1105mm OB 535 mm 6.48 m 8m 17.12 m 540mm 1095mm 1. Calculate the moment of inertia of the section with respect to the strong axis. 2. Calculate the total longitudinal stress at the top fibers at point A. 3. Calculate the total longitudinal stress at the bottom fibers at point B.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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An I-shaped beam with overhang at both sides is shown below. The left
figure shows the cross-sectional dimensions, while the right figure shows
the triangular load acting on the
on the beam. The prestressed cables are placed
at an eccentricity e = 430 mm below the neutral axis. The cables are subjec-
ted to a final prestressing force of P= 915 kN.
525mm
w = 82.48 kN/m
1105mm
OB
535 mm
6.48 m
8m
17.12 m
540mm
1095mm
1. Calculate the moment of
inertia
of
the section with respect to the
strong axis.
2. Calculate the total longitudinal stress at the top fibers at point A.
3. Calculate the total longitudinal stress at the bottom fibers at point B.
Transcribed Image Text:An I-shaped beam with overhang at both sides is shown below. The left figure shows the cross-sectional dimensions, while the right figure shows the triangular load acting on the on the beam. The prestressed cables are placed at an eccentricity e = 430 mm below the neutral axis. The cables are subjec- ted to a final prestressing force of P= 915 kN. 525mm w = 82.48 kN/m 1105mm OB 535 mm 6.48 m 8m 17.12 m 540mm 1095mm 1. Calculate the moment of inertia of the section with respect to the strong axis. 2. Calculate the total longitudinal stress at the top fibers at point A. 3. Calculate the total longitudinal stress at the bottom fibers at point B.
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