sing stranded cables that apply a compressive force. ependent losses, an effective prestresss, P. 355 kip 3/8-in. diameter Grade 270 strands and the centroid
sing stranded cables that apply a compressive force. ependent losses, an effective prestresss, P. 355 kip 3/8-in. diameter Grade 270 strands and the centroid
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A bridge girder with section shown below is used for a 50 ft. simple-span. The beam is
prestensioned using stranded cables that apply a compressive force P₁= 450 kips at transfer.
After all time-dependent losses, an effective prestresss, P. = 355 kips, is attained. The steel
consists of (29) 3/8-in. diameter Grade 270 strands and the centroid has a constant eccentricity of
12.5 inches. Answer the following:
a) Given that the girder cambers upward immediately upon release of prestress force to the
beam, what concrete stresses are obtained at the midspan at that loading state?
c) What stresses are obtained at the midspan for the unloaded member (prestress plus self-
weight only) after all important losses have occured?
d) What stresses result at the midspan upon application of full service load of 1.65 kips/ft?
11'-0"-1
6"
1-6-
6"
1"-3"
6+6+
-3"
3'-0"
A 369 in²
Ig=50,979 in
C₁ = 20.17 in.
C₂=15.83 in.
²= 138 in²
Wo384 plf (selfweight)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8644146-50bf-4732-abb9-9eaab341f990%2F3f449d84-f062-4a0d-a322-a00c084a16dc%2Fa7hup_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A bridge girder with section shown below is used for a 50 ft. simple-span. The beam is
prestensioned using stranded cables that apply a compressive force P₁= 450 kips at transfer.
After all time-dependent losses, an effective prestresss, P. = 355 kips, is attained. The steel
consists of (29) 3/8-in. diameter Grade 270 strands and the centroid has a constant eccentricity of
12.5 inches. Answer the following:
a) Given that the girder cambers upward immediately upon release of prestress force to the
beam, what concrete stresses are obtained at the midspan at that loading state?
c) What stresses are obtained at the midspan for the unloaded member (prestress plus self-
weight only) after all important losses have occured?
d) What stresses result at the midspan upon application of full service load of 1.65 kips/ft?
11'-0"-1
6"
1-6-
6"
1"-3"
6+6+
-3"
3'-0"
A 369 in²
Ig=50,979 in
C₁ = 20.17 in.
C₂=15.83 in.
²= 138 in²
Wo384 plf (selfweight)
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Hello. Thank u very much for this answer.
I have a little question: In this case What does Zt refer to?
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