The T shaped cross section shown below is reinforced with 4 of 32 mm bars with fc'= 20.7 MPa and fy = 345 MPa. Determine the location of the plastic centroid measured from the 250 mm side. 450mm 150 mm 200 mm ра ➜ 0.0 75mm 75mm HERES IS THE QUESTIONS AND PLEASE REFER FOR MY ATTACHED GUIDELINES FORMAT IN OTHER PHOTO 100 mm 250 mm 100 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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*Subject: Reinforced prestressed concrete - Civil Engineering

*Please refer for my attached formula or guidelines solve this problem

 

 

The T shaped cross section shown below is reinforced with 4 of 32 mm bars
with fc'= 20.7 MPa and fy = 345 MPa. Determine the location of the plastic
centroid measured from the 450 mm side.
450mm
150 mm 200 mm
(1)
75
REFERENCES OR GUIDELINES TO SOLVE THE PROBLEM
P₂
75
(2)
75mm 75mm
P₁ P₂
X
*+
250
275
P
450mm
*
100 mm
250 mm
150 mm 200 mm
100 mm
od
00
+
75mm 75mm
100 mm
250 mm
100 mm
P₁=(fy-0.85 fc') A4, = {345-0.85(20.7)}2 -=526.63kN
P= P₁+P₁₂₁ +P₂ +P₁=3120.7kN
2
3
Px=
Px = P₁x₁ + P₂x₂ + P²₂x₂ + P ₁x4
P3120.7x=1187.63(75)+879.75(250)+526.63(75)+526.63(275
x = 158mm
P₁=0.85 fc' A₁ = 0.85(20.7)150(450) = 1187.63kN
P₂ = 0.85 fc' A₂ = 0.85(20.7)200(250) = 879.75kN
π(32)²
=526.63kN
P₁ = (fy-0.85 fc') A = {345-0.85(20.7)}2-
4
4
π(32)²
4
Px
Transcribed Image Text:The T shaped cross section shown below is reinforced with 4 of 32 mm bars with fc'= 20.7 MPa and fy = 345 MPa. Determine the location of the plastic centroid measured from the 450 mm side. 450mm 150 mm 200 mm (1) 75 REFERENCES OR GUIDELINES TO SOLVE THE PROBLEM P₂ 75 (2) 75mm 75mm P₁ P₂ X *+ 250 275 P 450mm * 100 mm 250 mm 150 mm 200 mm 100 mm od 00 + 75mm 75mm 100 mm 250 mm 100 mm P₁=(fy-0.85 fc') A4, = {345-0.85(20.7)}2 -=526.63kN P= P₁+P₁₂₁ +P₂ +P₁=3120.7kN 2 3 Px= Px = P₁x₁ + P₂x₂ + P²₂x₂ + P ₁x4 P3120.7x=1187.63(75)+879.75(250)+526.63(75)+526.63(275 x = 158mm P₁=0.85 fc' A₁ = 0.85(20.7)150(450) = 1187.63kN P₂ = 0.85 fc' A₂ = 0.85(20.7)200(250) = 879.75kN π(32)² =526.63kN P₁ = (fy-0.85 fc') A = {345-0.85(20.7)}2- 4 4 π(32)² 4 Px
Questions
The T shaped cross section shown below is reinforced with 4 of 32 mm bars
with fc'= 20.7 MPa and fy = 345 MPa. Determine the location of the plastic
centroid measured from the 250 mm side.
450mm
150 mm 200 mm
4 *
14
75mm
75mm
100
HERES IS THE QUESTIONS
AND PLEASE REFER FOR MY
ATTACHED GUIDELINES
FORMAT IN OTHER PHOTO
mm
250 mm
100 mm
Transcribed Image Text:Questions The T shaped cross section shown below is reinforced with 4 of 32 mm bars with fc'= 20.7 MPa and fy = 345 MPa. Determine the location of the plastic centroid measured from the 250 mm side. 450mm 150 mm 200 mm 4 * 14 75mm 75mm 100 HERES IS THE QUESTIONS AND PLEASE REFER FOR MY ATTACHED GUIDELINES FORMAT IN OTHER PHOTO mm 250 mm 100 mm
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