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Architecture Engineering QUESTION #2348
Question 1
In RC beam shear design per ACI 318 (simplified), the nominal concrete shear strength \(V_c\) for a rectangular beam with \(f'_c\) in MPa, \(b_w\) in mm, and \(d\) in mm is:
  • \(V_c = 0.33 \lambda \sqrt{f'_c} \cdot b_w \cdot d\) (N)
  • \(V_c = 0.17 \lambda \sqrt{f'_c} \cdot b_w \cdot d\) (N)✔️
  • \(V_c = 0.17 \lambda f'_c \cdot b_w \cdot d\) (N)
  • \(V_c = \lambda \sqrt{f'_c} \cdot b_w \cdot d\) (N)
Correct Answer Explanation
Per ACI 318 simplified equation: \(V_c = 0.17\lambda\sqrt{f'_c} \cdot b_w \cdot d\) (in Newtons, SI units). For normal weight concrete \(\lambda = 1.0\). The more detailed equation also accounts for \(N_u\), reinforcement ratio, and moment. The factor 0.33 applies in the more conservative detailed method for certain conditions.