Question
Download Solution PDFCalculate the limiting moment of resistance in accordance with the limit state design of a singly reinforced rectangular beam whose width is 200 mm and effective depth is 400 mm. Consider that the grade of steel is Fe415 and that of concrete is M20.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Limiting moment of resistance (Mu, lim) = 0.36 × fck ×b × xulim × (d – 0.42 × xulim)
Where,
xulim is the limiting depth of the neutral axis.
b and d are the width and depth of the section.
Explanation:
Given,
Width (b) of rectangular beam = 200 mm
Depth (d) of rectangular beam = 400 mm
Grade of steel = 415 N/mm2
Grade of concrete = 20 N/mm2
= 0.48 × d = 0.48 ×400 = 192 mm ( for Fe415)
Now, Mu, lim = 0.36 × fck ×b × xulim × (d – 0.42 × xulim)
= 0.36 × 20 × 200 × 192 × (400- 0.42×192) = 88296652 N-mm = 88.29 kN-m
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