Question
Download Solution PDFIf grades of steel and concrete are respectively Fe 415 and M 20 in a beam reinforced in tension side with 4-20 T and of width 30 cm and having effective depth 55 cm, then the depth of neutral axis of the section is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Moment of resistance for balanced section,
\({M_{u,lim}} = Q{f_{ck}}b{d^2}\)
|
Fy |
250 |
415 |
500 |
|
Q |
0.148 |
0.138 |
0.134 |
Force from the compression side,
C = 0.36 × fck × b × xu
Force from the tension side,
T = 0.87 × fy × Ast
To determine the Ast, we have to equate the compressive and tensile forces
0.36 × fck × b × Xu = 0.87 × fy × Ast
0.36 × 20 × 300 × Xu = 0.87 × 415 × 4 × π × 202/4
XU = 209.9 ≈ 210 mm
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