5 A T-shaped simply supported beam has the cross section shown in Figure P1.4. It has (11 m), is loaded with a gravity live-load unit intensity W = 2,500 plf (36.5 kN/), and with twelve -in.-dia (twelve 12.7-mm-dia) seven-wire stress-relieved strands. Com crete fiber stresses at service load by each of the following methods: (a) Basic concept (b) C-line (c) Load balancing Assume that the tendon eccentricity at midspan is e,= 9.6 in. (244 mm). Then given th fi - 5,000 psi (34.5 MPa) f. - 12Vf: - 849 psi (5.9 MPa) - 165.000 psi (1,138 MPa)

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Chapter5: Beams
Section: Chapter Questions
Problem 5.11.3P
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5
A T-shaped simply supported beam has the cross section shown in Figure P1.4. It has a spa
(11 m), is loaded with a gravity live-load unit intensity W=2,500 plf (36.5 kN/), and is pre
with twelve -in.-dia (twelve 12.7-mm-dia) seven-wire stress-relieved strands. Compute
crete fiber stresses at service load by each of the following methods:
(a) Basic concept
(b) C-line
(c) Load balancing
Assume that the tendon eccentricity at midspan is e,= 9.6 in. (244 mm). Then given that
S: - 5,000 psi (34.5 MPa)
f. - 12V: - 849 psi (5.9 MPa)
foe - 165.000 psi (1,138 MPa)
: section properties are as follows:
A -504 in²
1 = 37,059 in.
- IJA. - 73.5 in.
C, - 12.43 in.
Wp - 525 pif
e- 9.6 in.
Apa
- twelve in.-dia, seven-wire stress-relie
S, - 2,981 in.
S - 2,109 in.
1'-0
18
6
24LT30
ution#5 (to be typed here by the student)
Solve all 3 parts
Transcribed Image Text:5 A T-shaped simply supported beam has the cross section shown in Figure P1.4. It has a spa (11 m), is loaded with a gravity live-load unit intensity W=2,500 plf (36.5 kN/), and is pre with twelve -in.-dia (twelve 12.7-mm-dia) seven-wire stress-relieved strands. Compute crete fiber stresses at service load by each of the following methods: (a) Basic concept (b) C-line (c) Load balancing Assume that the tendon eccentricity at midspan is e,= 9.6 in. (244 mm). Then given that S: - 5,000 psi (34.5 MPa) f. - 12V: - 849 psi (5.9 MPa) foe - 165.000 psi (1,138 MPa) : section properties are as follows: A -504 in² 1 = 37,059 in. - IJA. - 73.5 in. C, - 12.43 in. Wp - 525 pif e- 9.6 in. Apa - twelve in.-dia, seven-wire stress-relie S, - 2,981 in. S - 2,109 in. 1'-0 18 6 24LT30 ution#5 (to be typed here by the student) Solve all 3 parts
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