B}}\)3) Type of sectionxu,max = xu for balanced sectionxu,max > xu for under reinforced sectionxu,max < xu for over reinforced section4) Moment of resistanceMu = 0.36 fck B xu (d - 0.42xu) for compression sideMu = 0.87 fy Ast (d - 0.42xu) for tensile sideCalculation:Given, xu,max = 0.48 d\(\frac{{{f_y}}}{{{f_{ck}}}} = 0.36\)Ast = 0.04 BD\({x_u} = \frac{{0.87\;{f_y}{A_{st}}}}{{0.36\;{f_{ck}}b}} = \frac{{0.87 \times 0.36 \times 0.04bd}}{{0.36 \times b}} = 0.0348\;d\)xu,max > xu∴ It is under reinforced section

"> B}}\)3) Type of sectionxu,max = xu for balanced sectionxu,max > xu for under reinforced sectionxu,max < xu for over reinforced section4) Moment of resistanceMu = 0.36 fck B xu (d - 0.42xu) for compression sideMu = 0.87 fy Ast (d - 0.42xu) for tensile sideCalculation:Given, xu,max = 0.48 d\(\frac{{{f_y}}}{{{f_{ck}}}} = 0.36\)Ast = 0.04 BD\({x_u} = \frac{{0.87\;{f_y}{A_{st}}}}{{0.36\;{f_{ck}}b}} = \frac{{0.87 \times 0.36 \times 0.04bd}}{{0.36 \times b}} = 0.0348\;d\)xu,max > xu∴ It is under reinforced section

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For limit state design of RC beam consider following:i) \(\left[ {\frac{{{f_y}}}{{{f_{ck}}}} = 0.36} \right]\)ii) \(\left[ {\frac{{{A_{st}}}}{{bd}} = 4\% } \right]\)iii) \(\left[ {\frac{{{x_{u\;max}}}}{d} = 0.48} \right]\)Which one of the design criteria shall be applicable?

Prestressed Concrete Structures Beams And Slabs in Prestressed Concrete Structures 8 months ago

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Concept:Design formulas of singly reinforced Beam for limit state design,1) Limiting depth of neutral axisVarious grade of steelxu,limFe 2500.53dFe 4150.48dFe 5000.46d 2) Actual depth of neutral axis\({x_u} = \frac{{0.87\;{f_y}{A_{st}}}}{{0.36\;{f_{ck}}B}}\)3) Type of sectionxu,max = xu for balanced sectionxu,max > xu for under reinforced sectionxu,max < xu for over reinforced section4) Moment of resistanceMu = 0.36 fck B xu (d - 0.42xu) for compression sideMu = 0.87 fy Ast (d - 0.42xu) for tensile sideCalculation:Given, xu,max = 0.48 d\(\frac{{{f_y}}}{{{f_{ck}}}} = 0.36\)Ast = 0.04 BD\({x_u} = \frac{{0.87\;{f_y}{A_{st}}}}{{0.36\;{f_{ck}}b}} = \frac{{0.87 \times 0.36 \times 0.04bd}}{{0.36 \times b}} = 0.0348\;d\)xu,max > xu∴ It is under reinforced section

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Posted on 11 Nov 2024, this text provides information on Prestressed Concrete Structures related to Beams And Slabs in Prestressed Concrete Structures. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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