CIVIL ENGINEERING -REINFORCEDProblem#2:Determine the permissible ultimate moment capacity ofthe beam shown in figure. fc'= 27.5 MPa, fy = 345 MPa.350 mmAs' = 775mm²OOAs =3625 mm2OOfQuestions:the greenHow they get the value ofcircle below: 96, 4, 3042-4 and 2 to arrive121-12 mm.Please howanswersthat answeryou getand show your formula.Solution to #2As, As - As'=3625-775 = 2850 mm ²Afy2850(345)0.85 fc'b 0.85(27.5)350a=a63 mm600(a−ß,d')_600(120.18-[0.85(63)])a = B₁c129.12=0.85cc=14249mm600 mma=Compression steel does not yields at failure[Fx=00.85fc'ab + A, 'fs' = Afy0.85(27.5)350a + 775fs' = 3625(345)10.56a+fs'= 1613.7с120.18d-c96+√(96)² + 4(30426)2= 120.18mmfs'=1613.7-10.56 af=334.7 MPa

Answer of green circle is given in step 3

CIVIL ENGINEERING -REINFORCED CONCRETE DESIGN Problem#2: Determine the permissible ultimate moment capacity of the beam shown in figure. fc'= 27.5 MPa, fy = 345 MPa. 350 mm As = 775mm² As =3625 mm² 63 mm 600 mm Questions: How they get the valme = below: 96₁ 4₁ 3042-4 and 2 answers 121-12mm. Please how you get that answer and show your formula the greev of to arrive

CIVIL ENGINEERING -REINFORCED CONCRETE DESIGN Problem#2: Determine the permissible ultimate moment capacity of the beam shown in figure. fc'= 27.5 MPa, fy = 345 MPa. 350 mm As = 775mm² As =3625 mm² 63 mm 600 mm Questions: How they get the valme = below: 96₁ 4₁ 3042-4 and 2 answers 121-12mm. Please how you get that answer and show your formula the greev of to arrive

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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Question

CIVIL ENGINEERING -REINFORCED
Problem#2:
Determine the permissible ultimate moment capacity of
the beam shown in figure. fc'= 27.5 MPa, fy = 345 MPa.
350 mm
As' = 775mm²
O
O
As =3625 mm2
O
O
f
Questions:
the green
How they get the value of
circle below: 96, 4, 3042-4 and 2 to arrive
121-12 mm.
Please how
answers
that answer
you get
and show your formula.
Solution to #2
As, As - As'=3625-775 = 2850 mm ²
Afy
2850(345)
0.85 fc'b 0.85(27.5)350
a=
a
63 mm
600(a−ß,d')_600(120.18-[0.85(63)])
a = B₁c
129.12=0.85c
c=14249mm
600 mm
a=
Compression steel does not yields at failure
[Fx=0
0.85fc'ab + A, 'fs' = Afy
0.85(27.5)350a + 775fs' = 3625(345)
10.56a+fs'= 1613.7
с
120.18
d-c
96+√(96)² + 4(30426)
2
= 120.18mm
fs'=1613.7-10.56 a
f=334.7 MPa<fy
600(121.12-53.55)
121.12
0.003
CONCRETE DESIGN
=332.65MPa< fy
& (strain of steel)
-=121.12mm
d-c
EQ.1
C
0.003
187.18
E₁
600-187.18
&₁ = 0.0088 <0.005
This is a tension-controlled section

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Step 1: Introducing Given data

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Step 2: Checking yielding of fs'

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Step 3: Calculation of depth of stress block (a) ......Answer of green circle

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Step 4: Calculate correct fs' & As1'

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Step 5: Calculate ultimate moment capacity (Mu)

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