A rectangular concrete beam of cross-section 30cm deep and 20cm wide is prestressed by means of 15 wires of 5mm diameter located 6.5cm from the bottom of the beam and 3 wires of diameter 5mm, 2.5cm from top. Assuming the prestressed in the steel as 840N/mm^2, calculate the stresses in N/mm^2 at the extreme fibers of the mid-span section when the beam is supporting its own weight over a span of 6m. If uniformly distributed live load of 6kN/m is imposed, evaluate

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A rectangular concrete beam of cross-section 30cm deep and 20cm wide is prestressed by means of 15 wires of 5mm diameter located 6.5cm from the bottom of the beam and 3 wires of diameter 5mm, 2.5cm from top. Assuming the prestressed in the steel as 840N/mm^2, calculate the stresses in N/mm^2 at the extreme fibers of the mid-span section when the beam is supporting its own weight over a span of 6m. If uniformly distributed live load of 6kN/m is imposed, evaluate the maximum working stress in concrete. The density of concrete is 24kN/m3. 

 

a) Stress at the top fiber 

b) Stress at the bottom fiber 

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