A simply supported pretensioned beam has a span of 75 ft (22.9 m) and the cross section shown inFigure P3.1. It is subjected to a uniform gravitational live-load intensity W, = 1,200 plf (17.5 kN/m)in addition to its self-weight and is prestressed with 20 stress-relieved þin. dia (12.7 mm dia) 7-wirestrands. Compute the total prestress losses by the step-by-step method, and compare them with thevalues obtained by the lump-sum method. Tāke the following values as given:f = 6,000 psi (41.4 MPa), normal-weight concretef'a = 4,500 psi (31 MPa)Spu = 270,000 psi (1,862 MPa)fpi = 0.70fmRelaxation time t = 5 yearse, = 19 in. (483 mm)Relative humidity RH = 75%v/s = 3.0 in. (7.62 cm)Assume SD load = 30% LL-10'-0"32"5'-0"eccgc32"(81.2 cm)70'-0"(21.3 m)

data providedspan of the given beam =L =75 feets Load =Live load+self weight WL=1200 pif Dia of…

ported pretensioned pan It is subjected to a uniform gravitational live-load its self-weight and is prestressed with 20 stress-r pute the total prestress losses by the step-by-step ed by the lump-sum method. Take the following 6,000 psi (41.4 MPa), normal-we fa= 4,500 psi (31 MPa)

ported pretensioned pan It is subjected to a uniform gravitational live-load its self-weight and is prestressed with 20 stress-r pute the total prestress losses by the step-by-step ed by the lump-sum method. Take the following 6,000 psi (41.4 MPa), normal-we fa= 4,500 psi (31 MPa)

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 simply supported pretensioned beam has a span of 75 ft (22.9 m) and the cross section shown in
Figure P3.1. It is subjected to a uniform gravitational live-load intensity W, = 1,200 plf (17.5 kN/m)
in addition to its self-weight and is prestressed with 20 stress-relieved þin. dia (12.7 mm dia) 7-wire
strands. Compute the total prestress losses by the step-by-step method, and compare them with the
values obtained by the lump-sum method. Tāke the following values as given:
f = 6,000 psi (41.4 MPa), normal-weight concrete
f'a = 4,500 psi (31 MPa)
Spu = 270,000 psi (1,862 MPa)
fpi = 0.70fm
Relaxation time t = 5 years
e, = 19 in. (483 mm)
Relative humidity RH = 75%
v/s = 3.0 in. (7.62 cm)
Assume SD load = 30% LL
-10'-0"
32"
5'-0"
ec
cgc
32"
(81.2 cm)
70'-0"
(21.3 m)

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