A simply supported prestressed concrete beam with a cross-section of (200 mm width and 400 mm depth) is loaded by a uniform distributed service load (ws) in addition to its self-weight, see figure (Q2). Three years later, the total downward deflection of the member is found to be (60 mm). If the effective modulus of elasticity of the concrete is (0.1 x group) of the short-term modulus of elasticity and the losses in prestressed force are equal to (10 + Nº- ) %, determine the No. 2 applied UDL (ws). Prestressed force = 500 kN, Ecchort = 28 x 106 kN/m²

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Prestressed concrete Group = 2 No = 11
A simply supported prestressed concrete beam with a cross-section of (200 mm width and
400 mm depth) is loaded by a uniform distributed service load (ws) in addition to its self-weight,
see figure (Q2). Three years later, the total downward deflection of the member is found to be
(60 mm). If the effective modulus of elasticity of the concrete is (0.1 x group) of the short-term
modulus of elasticity and the losses in prestressed force are equal to (10 + ¹) %, determine the
applied UDL (ws).
No.
2
Prestressed force = 500 kN, Ecshort = 28 x 106 kN/m²
Figure (Q2)
Aw
=
5 W LA
384 El
9
Ap=
P.e.L²
48 El
e-(200+ 2x group) mm
9 m
Transcribed Image Text:A simply supported prestressed concrete beam with a cross-section of (200 mm width and 400 mm depth) is loaded by a uniform distributed service load (ws) in addition to its self-weight, see figure (Q2). Three years later, the total downward deflection of the member is found to be (60 mm). If the effective modulus of elasticity of the concrete is (0.1 x group) of the short-term modulus of elasticity and the losses in prestressed force are equal to (10 + ¹) %, determine the applied UDL (ws). No. 2 Prestressed force = 500 kN, Ecshort = 28 x 106 kN/m² Figure (Q2) Aw = 5 W LA 384 El 9 Ap= P.e.L² 48 El e-(200+ 2x group) mm 9 m
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