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Singly Reinforced Beam - Analysis (Known Parameters (\(f_{ck}\), \(f_{y}\)…
Singly Reinforced Beam - Analysis
Assume as balanced
Calculate \(\frac{x_u}{d} = \frac{0.87f_yA_{st}}{0.36f_ {ck}bd}\)
If \( \frac{x_u}{d} \leq \frac{x_u}{d} lim \) then
Under Reinforced Section
:check:
\( M= 0.87f_{y}A_{st}d(1- 0.42\frac{x_u}{d}) \)
Tension = \(0.87f_{y}A_{st} \)
Compression = \( 0.36 f_{ck} x_{u}b\)
If \( \frac{x_u}{d} > \frac{x_u}{d}lim \)
Over Reinforced Section :no_entry:
Section to be redesigned
Approx Failure Moment
= \( 0.36 f_{ck} \frac{x_{u lim}}{d}bd^{2}(1-0.42\frac{x_{u lim}}{d})\)
Approximate Failure moment is From Concrete Compression Failure
Known Parameters
\(f_{ck}\)
\(f_{y}\)
\(A_{st}\)
b ,D , Clear Cover or Effective Cover
\( \frac{x_u}{d} lim \) From Page 70
IS 456 Page 96 Annex G