A prestressed concrete beam

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A prestressed concrete beam supports a live load of 4 kN/m over a simply sup-
ported span of 8 m. The beam has an I-section with an overall depth of 400 mm.
The thicknesses of the flange and web are 60 and 80 mm respectively. The
width of the flange is 200 mm. The beam is to be prestressed by an effective
prestressing force of 235 kN at a suitable eccentricity such that the resultant
stress at the soffit of the beam at the centre of the span is zero.
(a) Find the eccentricity required for the force.
(b) If the tendon is concentric, what should be the magnitude of the prestressing
force for the resultant stress to be zero at the bottom fibre of the central
span section.
Transcribed Image Text:A prestressed concrete beam supports a live load of 4 kN/m over a simply sup- ported span of 8 m. The beam has an I-section with an overall depth of 400 mm. The thicknesses of the flange and web are 60 and 80 mm respectively. The width of the flange is 200 mm. The beam is to be prestressed by an effective prestressing force of 235 kN at a suitable eccentricity such that the resultant stress at the soffit of the beam at the centre of the span is zero. (a) Find the eccentricity required for the force. (b) If the tendon is concentric, what should be the magnitude of the prestressing force for the resultant stress to be zero at the bottom fibre of the central span section.
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