2. A rectangular beam has a width of 280 mm and an effective depth of 500 mm. It has a reinforcement area of 4072 mm? at the bottom. Balanced steel ratio p. = 0.026. få = 25 MPa, f, = 414 MPa. a. Determine the depth compression block. b. Determine the tensile force carried by the steel bars. c. Determine the resisting moment capacity of the beam, checked for moment capacity reduction factor.

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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With computation

At face of all support for slabs with spans not exceeding 3 meters; and
beams where ratio of sum of column stiffness to beam stiffness exceeds
WL?
12
eight at each end of the span
At interior face of exterior support for members built integrally with
supports:
Where support is a spandrel beam
WL?
24
Where support is a column
WL?
16
SHEAR
At face of first interior support
WL
1.15-
At face of all other supports
WL
a.
Determine the approximate moment, MBA.
b.
Determine the approximate moment, Med.
C. Determine the reaction at B.
2. A rectangular beam has a width of 280 mm and an effective depth of 500 mm. It has a reinforcement area of 4072 mm² at the
bottom. Balanced steel ratio po = 0.026. f² = 25 MPa, fy = 414 MPa.
Determine the depth compression block.
b.
a
Determine the tensile force carried by the steel bars.
c. Determine the resisting moment capacity of the beam, checked for moment capacity reduction factor.
3. A rectangular beam has a width of 250 mm and a total depth of 640 mm. The beam is reinforced with 3-25mmp placed with a
steel covering of 65 mm from the bottom of the beam. fc = 27.6 MPa. Assume A 615 grade 60 steel with fy = 414.7 MPa.
a. Determine the distance from extreme compression fiber to the neutral axis of the beam.
b. Determine the nominal moment of the beam.
c. Determine the percentage increase in the nominal strength of the beam if we increase the steel reinforcement by 100%.
Transcribed Image Text:At face of all support for slabs with spans not exceeding 3 meters; and beams where ratio of sum of column stiffness to beam stiffness exceeds WL? 12 eight at each end of the span At interior face of exterior support for members built integrally with supports: Where support is a spandrel beam WL? 24 Where support is a column WL? 16 SHEAR At face of first interior support WL 1.15- At face of all other supports WL a. Determine the approximate moment, MBA. b. Determine the approximate moment, Med. C. Determine the reaction at B. 2. A rectangular beam has a width of 280 mm and an effective depth of 500 mm. It has a reinforcement area of 4072 mm² at the bottom. Balanced steel ratio po = 0.026. f² = 25 MPa, fy = 414 MPa. Determine the depth compression block. b. a Determine the tensile force carried by the steel bars. c. Determine the resisting moment capacity of the beam, checked for moment capacity reduction factor. 3. A rectangular beam has a width of 250 mm and a total depth of 640 mm. The beam is reinforced with 3-25mmp placed with a steel covering of 65 mm from the bottom of the beam. fc = 27.6 MPa. Assume A 615 grade 60 steel with fy = 414.7 MPa. a. Determine the distance from extreme compression fiber to the neutral axis of the beam. b. Determine the nominal moment of the beam. c. Determine the percentage increase in the nominal strength of the beam if we increase the steel reinforcement by 100%.
POST-TEST
DIRECTION: Evaluate the following problems. Placed your final answer on a box or use highlighter.
1. From the figure shows a four-span beam having span lengths AB = 8 m, BC = 9 m, CD = 8 m, and DE = 7 m. The total factored
dead load is 7 kN/m and the factored live load is 8 kN/m. The beam is built into a girder at the masonry wall at A which does not
offer restraint to beam AB. The beam is also built into a very stiff column at E.
masonry wall
stiff column
7m
NSCP specifications
alternate to frame analysis, the following approximate moments and shears shall be
beams and one-way slabs (slabs reinforced to resist flexural stresses in only one direction), provided:
As
to
used in design of continuous
There are two or more spans,
b. Spans are approximately equal, with the larger of two adjacent spans not greater than the shorter by more than 20 percent,
Loads are uniformly distributed,
d.
a.
C.
Unit live load does not exceed three times unit dead load, and
Members are prismatic.
е.
POSITIVE MOMENT
End Spans
Discontinuous end unrestrained
11
Discontinuous end integral with support
14
Internal spans
Page
27 I 31
16
+
Transcribed Image Text:POST-TEST DIRECTION: Evaluate the following problems. Placed your final answer on a box or use highlighter. 1. From the figure shows a four-span beam having span lengths AB = 8 m, BC = 9 m, CD = 8 m, and DE = 7 m. The total factored dead load is 7 kN/m and the factored live load is 8 kN/m. The beam is built into a girder at the masonry wall at A which does not offer restraint to beam AB. The beam is also built into a very stiff column at E. masonry wall stiff column 7m NSCP specifications alternate to frame analysis, the following approximate moments and shears shall be beams and one-way slabs (slabs reinforced to resist flexural stresses in only one direction), provided: As to used in design of continuous There are two or more spans, b. Spans are approximately equal, with the larger of two adjacent spans not greater than the shorter by more than 20 percent, Loads are uniformly distributed, d. a. C. Unit live load does not exceed three times unit dead load, and Members are prismatic. е. POSITIVE MOMENT End Spans Discontinuous end unrestrained 11 Discontinuous end integral with support 14 Internal spans Page 27 I 31 16 +
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