A rectangular beam with cross section b = 14 in., h = 24 in., and d = 21.5 in. supports a total fac- tored load of 3.9 kips/ft, including its own dead load. The beam is simply supported with a 22-ft span. It is reinforced with five No. 7 Grade-60 bars, two of which are cutoff between midspan and the support and three of which extend 10 in. past the centers of the supports. f. = 4000 psi. (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI Code Sections 9.7.6.2.2 and 9.6.3.3. (a) Plot to scale the factored moment diagram. M = włx/2 – wx²/2, where x is the distance from the support and l is the span. (b) Plot the moment-strength diagram and locate the cutoff points for the two cutoff bars such that the moment strength diagram stays above the factored moment.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A rectangular beam with cross section b = 14 in.,
h = 24 in., and d = 21.5 in. supports a total fac-
tored load of 3.9 kips/ft, including its own dead load.
The beam is simply supported with a 22-ft span. It
is reinforced with five No. 7 Grade-60 bars, two of
which are cutoff between midspan and the support
and three of which extend 10 in. past the centers of
the supports. f. = 4000 psi. (normal weight). The
beam has Grade 60 No. 3 stirrups satisfying ACI
Code Sections 9.7.6.2.2 and 9.6.3.3.
(a) Plot to scale the factored moment diagram.
M = włx/2 – wx²/2, where x is the distance
from the support and l is the span.
(b) Plot the moment-strength diagram and locate
the cutoff points for the two cutoff bars such
that the moment strength diagram stays above
the factored moment.
Transcribed Image Text:A rectangular beam with cross section b = 14 in., h = 24 in., and d = 21.5 in. supports a total fac- tored load of 3.9 kips/ft, including its own dead load. The beam is simply supported with a 22-ft span. It is reinforced with five No. 7 Grade-60 bars, two of which are cutoff between midspan and the support and three of which extend 10 in. past the centers of the supports. f. = 4000 psi. (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI Code Sections 9.7.6.2.2 and 9.6.3.3. (a) Plot to scale the factored moment diagram. M = włx/2 – wx²/2, where x is the distance from the support and l is the span. (b) Plot the moment-strength diagram and locate the cutoff points for the two cutoff bars such that the moment strength diagram stays above the factored moment.
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