Reinforced Concrete Beams

Step 1: Formula for limiting moment of resistance.
The limiting moment of resistance for a singly reinforced beam is given by: $M_%7Blim%7D%20%3D%200.36%20%5C%2C%20f_%7Bck%7D%20%5C%2C%20b%20%5C%2C%20x_%7Bu%2Cmax%7D%20%5Cleft(d%20-%200.42x_%7Bu%2Cmax%7D%5Cright)$ where: - $f_%7Bck%7D%20%3D%2020%20%5C%2C%20%5Ctext%7BN%2Fmm%7D%5E2$ (M-20 concrete), - $b%20%3D%20200%20%5C%2C%20%5Ctext%7Bmm%7D$ , - $d%20%3D%20300%20%5C%2C%20%5Ctext%7Bmm%7D$ , - $x_%7Bu%2Cmax%7D%20%3D%200.48d%20%3D%200.48%20%5Ctimes%20300%20%3D%20144%20%5C%2C%20%5Ctext%7Bmm%7D.$

Step 2: Substitution.
$M_%7Blim%7D%20%3D%200.36%20%5Ctimes%2020%20%5Ctimes%20200%20%5Ctimes%20144%20%5Ctimes%20(300%20-%200.42%20%5Ctimes%20144)$ First compute: $300%20-%200.42%20%5Ctimes%20144%20%3D%20300%20-%2060.48%20%3D%20239.52%20%5C%2C%20%5Ctext%7Bmm%7D.$ Now: $M_%7Blim%7D%20%3D%200.36%20%5Ctimes%2020%20%5Ctimes%20200%20%5Ctimes%20144%20%5Ctimes%20239.52$ $M_%7Blim%7D%20%3D%20498%2C99000%20%5C%2C%20%5Ctext%7BNmm%7D%20%5Capprox%205.0%20%5Ctimes%2010%5E7%20%5C%2C%20%5Ctext%7BNmm%7D$ Convert to kNm: $M_%7Blim%7D%20%3D%20%5Cfrac%7B5.0%20%5Ctimes%2010%5E7%7D%7B10%5E6%7D%20%3D%2050%20%5C%2C%20%5Ctext%7BkNm%7D.$

Step 3: Conclusion.
The limiting moment of resistance is approximately $%5C%2C%2050%20%5C%2C%20%5Ctext%7BkNm%7D.$

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Reinforced Concrete Beams

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs