Answered: ) The cable profile is straight with a…

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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Question

A post-tensioned prestressed concrete beam of span 8 m with a rectangular
section 300 mm wide by 400 mm deep, is prestressed by a cable containing
high-tensile wires of cross-sectional area 2000 mm2
. If the beam supports a live
load of 20 kN/m excluding its self-weight, compute the initial deflection due to
prestress, self-weight and live loads for the following cases:
(a) The cable profile is straight with a constant eccentricity of 100 mm.
(b) The cable profile is parabolic with a dip of 100 mm at mid-span and
concentric at supports. Assume the modulus of elasticity of concrete as
36 kN/mm2
.
[Ans: Case (a): 0.33 mm downwards, Case (b): 3.80 mm downwards]

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