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Manual for Design and Detailings of Reinforced Concrete to Code of ...

Manual for Design and Detailings of Reinforced Concrete to Code of ...

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Version 2.3 May 2008Beam carryingunbalanced<strong>to</strong>rsion inducedby slab needs becheckedFigure 3.30 – Illustration <strong>for</strong> necessity <strong>of</strong> checking against <strong>to</strong>rsion3.9.2 Calculation <strong>of</strong> <strong>to</strong>rsional rigidity <strong>of</strong> a rectangular section <strong>for</strong> analysis (ingrillage system) is by (Ceqn 6.64) <strong>of</strong> the <strong>Code</strong>1 3C = βhminhmaxwhere β is <strong>to</strong> be read from Table 6.16 <strong>of</strong> the <strong>Code</strong>2reproduced as Table 3.4 <strong>of</strong> this <strong>Manual</strong>.h max /h min 1 1.5 2 3 5 >5β 0.14 0.20 0.23 0.26 0.29 0.33Table 3.4 – Values <strong>of</strong> coefficient β3.9.3 Calculation <strong>of</strong> <strong>to</strong>rsional shear stressUpon arrival <strong>of</strong> the <strong>to</strong>rsion on the rectangular section, the <strong>to</strong>rsional shear stressis calculated by (Ceqn 6.65) <strong>of</strong> the <strong>Code</strong>2Tv t=2 ⎛ hmin⎞hmin⎜hmax− ⎟⎝ 3 ⎠<strong>and</strong> in case <strong>of</strong> a section such as T or L sections made <strong>of</strong> rectangles, the section3should be broken up in<strong>to</strong> two or more rectangles such that the ∑h minhmaxismaximized <strong>and</strong> the <strong>to</strong>tal Torsional moment T be apportioned <strong>to</strong> eachrectangle in accordance with (Ceqn 6.66) <strong>of</strong> the <strong>Code</strong> as⎛3⎞⎜ hminhmaxT × ⎟ .⎜3⎟⎝ ∑ hminh max ⎠43

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