Refer to the sample problem on Transformed Section Method (irregular sections). If the beam is reinforced with 4- 32 mm diameter bars, what will be the safe moment capacity of the beam?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Refer to the sample problem on Transformed Section Method (irregular sections). If the beam is reinforced with 4- 32 mm diameter bars, what will be the safe moment capacity of the beam?

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inforcement for a balanced design. If so reinforced, determine the safe moment
PROBLEM:
capacity of the section, f'c = 20 MPa, fs = 140 MPa, n = 10
%3D
%3D
100
300
100
500
fc = 9MPA
200 mm
: ::
144
600 Mim
880-X
nAS
80
60
fs=14MPA.
500 mm
Solution:
fc
0.45 f'c
%3D
fc
9 MPa .
%3D
880 – x
%3D
9.
14
14x
880(9) – 9x
%3D
344 mm
%3D
880-- x = 536 mm
%3D
X- 2
144 mm
500(x) () - 200(x – 200) (=
) – nAs (880 – x)
|
|
344
500(344)(곡)-200(144)(
144
) - 10AS (536)
|
2
2
As
5133 mm
%3D
500(344)
3
200(144)
3
10(5133) (536)
NA
3.
4.
21332 x 10° mm
NA
x la
Transcribed Image Text:inforcement for a balanced design. If so reinforced, determine the safe moment PROBLEM: capacity of the section, f'c = 20 MPa, fs = 140 MPa, n = 10 %3D %3D 100 300 100 500 fc = 9MPA 200 mm : :: 144 600 Mim 880-X nAS 80 60 fs=14MPA. 500 mm Solution: fc 0.45 f'c %3D fc 9 MPa . %3D 880 – x %3D 9. 14 14x 880(9) – 9x %3D 344 mm %3D 880-- x = 536 mm %3D X- 2 144 mm 500(x) () - 200(x – 200) (= ) – nAs (880 – x) | | 344 500(344)(곡)-200(144)( 144 ) - 10AS (536) | 2 2 As 5133 mm %3D 500(344) 3 200(144) 3 10(5133) (536) NA 3. 4. 21332 x 10° mm NA x la
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