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depth of 600mm and total depth of 650mm. It is reinforced with 4-32mm diameter bars for tension. fc' = 21MPa and fs = 140MPa. 6. Determine the distance of the neutral axis to the tension steel. A. 246.33 B. 246.81 7. Determine the cracked moment of inertia. C. 4668.16 D. 5103.74 A. 3357.77 B. 9586.51 C. 103.22 D. 257.22 8. Determine the moment capacity of the section C. 178.15 A. 187.51 B. 231.61 D. 145.54 9. Determine the uniform liveload it could carry if L = 5m and assume to be simply supported. A. 60.0 B. 55.4 C. 58.6 D. 62.3

depth of 600mm and total depth of 650mm. It is reinforced with 4-32mm diameter bars for tension. fc' = 21MPa and fs = 140MPa. 6. Determine the distance of the neutral axis to the tension steel. A. 246.33 B. 246.81 7. Determine the cracked moment of inertia. C. 4668.16 D. 5103.74 A. 3357.77 B. 9586.51 C. 103.22 D. 257.22 8. Determine the moment capacity of the section C. 178.15 A. 187.51 B. 231.61 D. 145.54 9. Determine the uniform liveload it could carry if L = 5m and assume to be simply supported. A. 60.0 B. 55.4 C. 58.6 D. 62.3

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Situation:** A reinforced concrete beam 300 mm wide has an effective depth of 600 mm and a total depth of 650 mm. It is reinforced with four 32 mm diameter bars for tension. Concrete compressive strength, \( f'c = 21 \text{MPa} \), and steel yield strength, \( f_s = 140 \text{MPa} \). ### Questions: 6. **Determine the distance of the neutral axis to the tension steel.** - A. 246.33 mm - B. 246.81 mm - C. 103.22 mm - D. 257.22 mm 7. **Determine the cracked moment of inertia.** - A. 3357.77 mm\(^4\) - B. 9586.51 mm\(^4\) - C. 4668.16 mm\(^4\) - D. 5103.74 mm\(^4\) 8. **Determine the moment capacity of the section.** - A. 187.51 kNm - B. 231.61 kNm - C. 178.15 kNm - D. 145.54 kNm 9. **Determine the uniform live load it could carry if \( L = 5 \) m and assume to be simply supported.** - A. 60.0 kN - B. 55.4 kN - C. 58.6 kN - D. 62.3 kN --- **Explanation:** The questions aim to analyze the structural properties of a reinforced concrete beam. They include determining the neutral axis position, the cracked moment of inertia, the moment capacity, and the uniform live load capacity. Each option provides specific numerical answers, guiding learners to apply their theoretical knowledge to practical calculations.
Transcribed Image Text:**Situation:** A reinforced concrete beam 300 mm wide has an effective depth of 600 mm and a total depth of 650 mm. It is reinforced with four 32 mm diameter bars for tension. Concrete compressive strength, \( f'c = 21 \text{MPa} \), and steel yield strength, \( f_s = 140 \text{MPa} \). ### Questions: 6. **Determine the distance of the neutral axis to the tension steel.** - A. 246.33 mm - B. 246.81 mm - C. 103.22 mm - D. 257.22 mm 7. **Determine the cracked moment of inertia.** - A. 3357.77 mm\(^4\) - B. 9586.51 mm\(^4\) - C. 4668.16 mm\(^4\) - D. 5103.74 mm\(^4\) 8. **Determine the moment capacity of the section.** - A. 187.51 kNm - B. 231.61 kNm - C. 178.15 kNm - D. 145.54 kNm 9. **Determine the uniform live load it could carry if \( L = 5 \) m and assume to be simply supported.** - A. 60.0 kN - B. 55.4 kN - C. 58.6 kN - D. 62.3 kN --- **Explanation:** The questions aim to analyze the structural properties of a reinforced concrete beam. They include determining the neutral axis position, the cracked moment of inertia, the moment capacity, and the uniform live load capacity. Each option provides specific numerical answers, guiding learners to apply their theoretical knowledge to practical calculations.
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Step 1: Given information:


  • Width of the reinforced concrete beam (b): 300 mm
  • Effective depth of the beam (d): 600 mm
  • Reinforcement: 4-32 mm diameter bars for tension
  • Compressive strength of concrete (f'c): 21 MPa
  • Yield strength of steel reinforcement (fy): 275 MPa
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