Question
Download Solution PDFIf the depth of neutral axis for singly reinforced rectangular section is represented by " Kd " in working stress design, then the value of " K " for balance section where ' D " is the effective depth, \(\sigma_{\text{st}}\) permissible stress in steel in tension and \(\sigma_{\text{cbc}}\) is permissible stress in steel in bending compression.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
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The depth of neutral axis (K D) in a balanced section depends on the limiting tensile stress in steel (σst).
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The permissible stress in concrete (σcbc) affects overall capacity but not the position of neutral axis in balanced section.
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The strain compatibility forces the neutral axis to be positioned based on how much the steel can be stressed.
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Therefore, K depends only on σst
\(k=\frac{280}{3\sigma_{st}+280}\)
Additional InformationA balanced section is a condition where steel reaches its permissible tensile stress and concrete reaches its permissible compressive stress simultaneously when subjected to bending.
In a bending section, the neutral axis is the horizontal axis where no tensile or compressive stress occurs.
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Above this axis → compression zone
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Below this axis → tension zone
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