A prestressed concrete beam 200 mm wide and 300 mm deep, is used over an effective span of 6m to support an imposed load of 4 kN/m. The density of concrete is 24kN/m3. At the quarter span section of the beam, find the magnitude of: a) the concentric prestressing force necessary for zero fiber-stress at the soffit when the beam is fully loaded. b) the eccentric prestressing force located 100 mm from the bottom of the beam which would nullify the bottom fiber stress due to loading.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A prestressed concrete beam 200 mm wide and 300 mm deep, is used over an effective span of 6m to support an imposed load of 4 kN/m. The density of concrete is 24kN/m3. At the quarter span section of the beam, find the magnitude of:

a) the concentric prestressing force necessary for zero fiber-stress at the soffit when the beam is fully loaded.
b) the eccentric prestressing force located 100 mm from the bottom of the beam which would nullify the bottom fiber stress due to loading.

PROBLEM # 1
A prestressed concrete beam 200 mm wide and 300 mm deep, is used over an effective
span of 6m to support an imposed load of 4 kN/m. The density of concrete is 24 kN/m3.
At the quarter span section of the beam, find the magnitude of:
a) the concentric prestressing force necessary for zero fiber-stress at the soffit when the
beam is fully loaded.
b) the eccentric prestressing force located 100 mm from the bottom of the beam which
would nullify the bottom fiber stress due to loading.
Transcribed Image Text:PROBLEM # 1 A prestressed concrete beam 200 mm wide and 300 mm deep, is used over an effective span of 6m to support an imposed load of 4 kN/m. The density of concrete is 24 kN/m3. At the quarter span section of the beam, find the magnitude of: a) the concentric prestressing force necessary for zero fiber-stress at the soffit when the beam is fully loaded. b) the eccentric prestressing force located 100 mm from the bottom of the beam which would nullify the bottom fiber stress due to loading.
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